pinecone/core-2020-05-10-deduplication huggingface dataset:
An SO(3)×SO(3) invariant solution of D = 11 supergravity

We construct a new SO(3)×SO(3) invariant non-supersymmetric solution of the bosonic field equations of D = 11 supergravity from the corresponding stationary point of maximal gauged N = 8 supergravity by making use of the non-linear uplift formulae for the metric and the 3-form potential. The latter are crucial as this solution appears to be inaccessible to traditional techniques of solving Einstein’s field equations, and is arguably the most complicated closed form solution of this type ever found. The solution is also a promising candidate for a stable non-supersymmetric solution of M-theory uplifted from gauged supergravity. The technique that we present here may be applied more generally to uplift other solutions of gauged supergravity
Bending branes for DCFT in two dimensions

We consider a holographic dual model for defect conformal field theories (DCFT) in which we include the backreaction of the defect on the dual geometry. In particular, we consider a dual gravity system in which a two-dimensional hypersurface with matter fields, the brane, is embedded into a three-dimensional asymptotically Anti-de Sitter spacetime. Motivated by recent proposals for holographic duals of boundary conformal field theories (BCFT), we assume the geometry of the brane to be determined by Israel junction conditions. We show that these conditions are intimately related to the energy conditions for the brane matter fields, and explain how these energy conditions constrain the possible geometries. This has implications for the holographic entanglement entropy in particular. Moreover, we give exact analytical solutions for the case where the matter content of the brane is a perfect fluid, which in a particular case corresponds to a free massless scalar field. Finally, we describe how our results may be particularly useful for extending a recent proposal for a holographic Kondo model
Measurement of the Z+b-jet cross-section in pp collisions at √s = 7 TeV in the forward region

The associated production of a Z boson or an off-shell photon γ * with a bottom quark in the forward region is studied using proton-proton collisions at a centre-of-mass energy of 7 TeV. The Z bosons are reconstructed in the [Z over γ] * → μ [superscript +] μ [superscript −] final state from muons with a transverse momentum larger than 20 GeV, while two transverse momentum thresholds are considered for jets (10 GeV and 20 GeV). Both muons and jets are reconstructed in the pseudorapidity range 2.0 < η < 4.5. The results are based on data corresponding to 1.0 fb [superscript −1] recorded in 2011 with the LHCb detector. The measurement of the Z+b-jet cross-section is normalized to the Z+jet cross-section. The measured cross-sections are 0.1
σ( [Z over γ] *(μ[superscript+] μ[superscript −]) + b-jet) = 295 ± 60 (stat) ± 51 (syst) ± 10 (lumi) fb
for p [subscript T] (jet) > 10 GeV, and 0.2
σ( [Z over γ]*(μ[superscript +] μ[superscript −]) + b-jet)=128±36 (stat) ±22 (syst) ±5 (lumi) fb
for p [subscript T](jet) > 20 GeV.National Science Foundation (U.S.
Beta-gamma system, pure spinors and Hilbert series of arc spaces

Algorithms are presented for calculating the partition function of
constrained beta-gamma systems in terms of the generating functions of the
individual fields of the theory, the latter obtained as the Hilbert series of
the arc space of the algebraic variety defined by the constraint. Examples of a
beta-gamma system on a complex surface with an $A_1$ singularity and pure
spinors are worked out and compared with existing results.Comment: 19 pages; sections 2.2, 4.2 and 5, revised for clarity; Macaulay2
  code for pure spinors added in appendix A; acknowledgments added; version to
  appear in JHE
Dark matter and lepton flavour violation in a hybrid neutrino mass model

We describe a hybrid model in which the light neutrino mass matrix receives both tree-level seesaw and loop-induced contributions. An additional U(1) gauge symmetry is used to stabilize the lightest right-handed neutrino as the Dark Matter candidate. After fitting the experimental neutrino data, we analyze and correlate the phenomenological consequences of the model, namely its impact on electroweak precision measurements, the Dark Matter relic abundance, lepton flavour violating rare decays and neutrinoless double beta decay. We find that natural realizations of the model characterized by large Yukawa couplings are compatible with and close to the current experimental limits
Effect of the deformation operator in the D1D5 CFT

The D1D5 CFT gives a holographic dual description of a near-extremal black hole in string theory. The interaction in this theory is given by a marginal deformation operator, which is composed of supercharges acting on a twist operator. The twist operator links together different copies of a free CFT. We study the effect of this deformation operator when it links together CFT copies with winding numbers M and N to produce a copy with winding M + N , populated with excitations of a particular form. We compute the effect of the deformation operator in the full supersymmetric theory, firstly on a Ramond-Ramond ground state and secondly on states with an initial bosonic or fermionic excitation. Our results generalize recent work which studied only the bosonic sector of the CFT. Our findings are a step towards understanding thermalization in the D1D5 CFT, which is related to black hole formation and evaporation in the bulk
Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT

Mixed-symmetry arbitrary spin massive, massless, and self-dual massive fields in AdS(5) are studied. Light-cone gauge actions for such fields leading to decoupled equations of motion are constructed. Light-cone gauge formulation of mixed-symmetry anomalous conformal currents and shadows in 4d flat space is also developed. AdS/CFT correspondence for normalizable and non-normalizable modes of mixed-symmetry AdS fields and the respective boundary mixed-symmetry anomalous conformal currents and shadows is studied. We demonstrate that the light-cone gauge action for massive mixed-symmetry AdS field evaluated on solution of the Dirichlet problem amounts to the light-cone gauge 2-point vertex of mixed-symmetry anomalous shadow. Also we show that UV divergence of the action for mixed-symmetry massive AdS field with some particular value of mass parameter evaluated on the Dirichlet problem amounts to the action of long mixed-symmetry conformal field, while UV divergence of the action for mixed-symmetry massless AdS field evaluated on the Dirichlet problem amounts to the action of short mixed-symmetry conformal field. We speculate on string theory interpretation of a model which involves short low-spin conformal fields and long higher-spin conformal fields
Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein
  supergravity

We expose a double-copy structure in the scattering amplitudes of the generic
Jordan family of N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
theories in four and five dimensions. The Maxwell-Einstein supergravity
amplitudes are obtained through the color/kinematics duality as a product of
two gauge-theory factors; one originating from pure N=2 super-Yang-Mills theory
and the other from the dimensional reduction of a bosonic higher-dimensional
pure Yang-Mills theory. We identify a specific symplectic frame in four
dimensions for which the on-shell fields and amplitudes from the double-copy
construction can be identified with the ones obtained from the supergravity
Lagrangian and Feynman-rule computations. The Yang-Mills/Einstein supergravity
theories are obtained by gauging a compact subgroup of the isometry group of
their Maxwell-Einstein counterparts. For the generic Jordan family this process
is identified with the introduction of cubic scalar couplings on the bosonic
gauge-theory side, which through the double copy are responsible for the
non-abelian vector interactions in the supergravity theory. As a demonstration
of the power of this structure, we present explicit computations at tree-level
and one loop. The double-copy construction allows us to obtain compact
expressions for the supergravity superamplitudes which are naturally organized
as polynomials in the gauge coupling constant.Comment: 60 pages, 2 figures, PDFLaTex, version published on JHE
Electroweak corrections to photon scattering, polarization and lensing in a gravitational background and the near horizon limit

We investigate the semiclassical approach to the lensing of photons in a spherically symmetric gravitational background, starting from Born level and include in our analysis the radiative corrections obtained from the electroweak theory for the graviton/photon/photon vertex. In this approach, the cross section is related to the angular variation of the impact parameter ( b ), which is then solved for b as a function of the angle of deflection, and measured in horizon units ( b h ≡ b/ (2 GM )). Exact numerical solutions for the angular deflection are presented. The numerical analysis shows that perturbation theory in a weak background agrees with the classical Einstein formula for the deflection already at distances of the order of 20 horizon units (∼20 b h ) and it is optimal in the description both of very strong and weak lensings. We show that the electroweak corrections to the cross section are sizeable, becoming very significant for high energy gamma rays. Our analysis covers in energy most of the photon spectrum, from the cosmic microwave background up to very high energy gamma rays, and scatterings with any value of the photon impact parameter. We also study the helicity-flip photon amplitude, which is of O ( α 2 ) in the weak coupling α , and its massless fermion limit, which involves the exchange of a conformal anomaly pole. The corresponding cross section is proportional to the Born level result and brings to a simple renormalization of Einsten’s formula
Electroweak corrections to lepton pair production in association with two hard jets at the LHC

We compute the next-to-leading order corrections of O α s 2 α 3 $$ \mathcal{O}\left({\alpha}_s^2{\alpha}^3\right) $$ to the hadronic production of two oppositely charged leptons and two hard jets, pp → jj ℓ − ℓ + , using R ecola and C ollier . We include electroweak and QCD corrections at the given order and all off-shell effects. We provide detailed predictions for the LHC operating at 13 TeV and obtain per-cent-level corrections for the total cross section. For differential distributions we find significant non-uniform distortions in high-energy tails at the level of several ten per cent due to electroweak Sudakov logarithms and deformations at the level of a few per cent for angular variables
Novel construction and the monodromy relation for three-point functions at weak coupling

In this article, we shall develop and formulate two novel viewpoints and properties concerning the three-point functions at weak coupling in the SU(2) sector of the N $$ \mathcal{N} $$ =4 super Yang-Mills theory. One is a double spin-chain formulation of the spin-chain and the associated new interpretation of the operation of Wick contraction. It will be regarded as a skew symmetric pairing which acts as a projection onto a singlet in the entire SO(4) sector, instead of an inner product in the spin-chain Hilbert space. This formalism allows us to study a class of three-point functions of operators built upon more general spin-chain vacua than the special configuration discussed so far in the literature. Furthermore, this new viewpoint has the significant advantage over the conventional method: In the usual “tailoring” operation, the Wick contraction produces inner products between off-shell Bethe states, which cannot be in general converted into simple expressions. In contrast, our procedure directly produces the so-called partial domain wall partition functions, which can be expressed as determinants. Using this property, we derive simple determinantal representation for a broader class of three-point functions. The second new property uncovered in this work is the non-trivial identity satisfied by the three-point functions with monodromy operators inserted. Generically this relation connects three-point functions of different operators and can be regarded as a kind of Schwinger-Dyson equation. In particular, this identity reduces in the semiclassical limit to the triviality of the product of local monodromies Ω 1 Ω 2 Ω 3 = 1 around the vertex operators, which played a crucial role in providing all important global information on the three-point function in the strong coupling regime arXiv:1312.3727 . This structure may provide a key to the understanding of the notion of “integrability” beyond the spectral level
Holographic QCD with dynamical flavors

Gravity solutions describing the Witten-Sakai-Sugimoto model of holographic QCD with dynamical flavors are presented. The field theory is studied in the Veneziano limit, at first order in the ratio of the number of flavors and colors. The gravity solutions are analytic and dual to the field theory either in the confined, low temperature phase or in the deconfined, high temperature phase with small baryonic charge density. The phase diagram and the flavor contributions to vacuum (e.g. string tension and hadron masses) and thermodynamical properties of the dual field theory are then deduced. The phase diagram of the model at finite temperature and imaginary chemical potential, as well as that of the unflavored theory at finite θ angle are also discussed in turn, showing qualitative similarities with recent lattice studies. Interesting degrees of freedom in each phase are discussed. Covariant counterterms for the Witten-Sakai-Sugimoto model are provided both in the probe approximation and in the backreacted case, allowing for a standard holographic renormalization of the theory
Renormalization, averaging, conservation laws and AdS (in)stability

We continue our analytic investigations of non-linear spherically symmetric perturbations around the anti-de Sitter background in gravity-scalar field systems, and focus on conservation laws restricting the (perturbatively) slow drift of energy between the different normal modes due to non-linearities. We discover two conservation laws in addition to the energy conservation previously discussed in relation to AdS instability. A similar set of three conservation laws was previously noted for a self-interacting scalar field in a non-dynamical AdS background, and we highlight the similarities of this system to the fully dynamical case of gravitational instability. The nature of these conservation laws is best understood through an appeal to averaging methods which allow one to derive an effective Lagrangian or Hamiltonian description of the slow energy transfer between the normal modes. The conservation laws in question then follow from explicit symmetries of this averaged effective theory
Quantum entropy and exact 4D/5D connection

We consider the AdS 2 /CFT 1 holographic correspondence near the horizon of rotating five-dimensional black holes preserving four supersymmetries in N = 2 $$ \mathcal{N}=2 $$ supergravity. The bulk partition function is given by a functional integral over string fields in AdS 2 and is related to the quantum entropy via the Sen’s proposal. Under certain assumptions we use the idea of equivariant localization to non-rigid backgrounds and show that the path integral of off-shell supergravity on the near horizon background, which is a circle fibration over AdS 2 × S 2 , reduces to a finite dimensional integral over n V + 1 parameters C A , where n V is the number of vector multiplets of the theory while the C 0 mode corresponds to a normalizable fluctuation of the metric. The localization solutions, which rely only on off-shell supersymmetry, become after a field redefinition, the solutions found for localization of supergravity on AdS 2 × S 2 . We compute the renormalized action on the localization locus and show that, in the absence of higher derivative corrections, it agrees with the four dimensional counterpart computed on AdS 2 × S 2 . These results together with possible one-loop contributions can be used to establish an exact connection between five and four dimensional quantum entropies
Leptogenesis in SO(10)

We consider SO(10) Grand Unified Theories (GUTs) with vacuum expectation values (vevs) for fermion masses in the 10 + 126 ¯ $$ \mathbf{10}+\overline{\mathbf{126}} $$ representation. We show that the baryon asymmetry generated via leptogenesis is completely determined in terms of measured low energy observables and of one single high energy parameter related to the ratio of the 10 and 126 ¯ $$ \overline{\mathbf{126}} $$ SU(2) doublet vevs. We identify new decay channels for the heavy Majorana neutrinos into SU(2) singlet leptons e c which can sizeably affect the size of the resulting baryon asymmetry. We describe how to equip SO(10) fits to low energy data with the additional constraint of successful leptogenesis, and we apply this procedure to the fits carried out in ref. [1]. We show that a baryon asymmetry in perfect agreement with observations is obtained
Compact conformal manifolds

In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetry guarantees that such manifolds are Kähler, and so the simplest possible non-trivial compact conformal manifold in this set of geometries is a complex one-dimensional projective space. We show that such a manifold is indeed realized and give a general prescription for constructing complex N -dimensional projective space conformal manifolds as certain small N = 2 → N = 1 $$ \mathcal{N}=2\to \mathcal{N}=1 $$ breaking deformations of strongly interacting N = 2 $$ \mathcal{N}=2 $$ SCFTs. In many cases, our prescription reduces the construction of such spaces to a study of the N = 2 $$ \mathcal{N}=2 $$ chiral ring. We also give an algorithm for constructing more general compact spaces of SCFTs
Projections for dark photon searches at Mu3e

We show that dark photons ( A ′ ) with masses ∼ 10-80 MeV can be probed in the decay μ + → e + ν e ν ¯ μ A ′ $$ {\mu}^{+}\to {e}^{+}{\nu}_e{\overline{\nu}}_{\mu }A^{\prime } $$ , A ′ → e + e − , with the upcoming Mu3e experiment at the Paul Scherrer Institute (PSI) in Switzerland. With an expected 10 15 (5 . 5 × 10 16 ) muon decays in 2015–2016 (2018 and beyond), Mu3e has the exciting opportunity to probe a substantial fraction of currently unexplored dark photon parameter space, probing kinetic-mixing parameter, ϵ , as low as ϵ 2 ∼ 10 −7 (10 −8 ). No modifications of the existing Mu3e setup are required
Local integrands for the five-point amplitude in planar N=4 SYM up to five loops.

Integrands for colour ordered scattering amplitudes in planar N=4 SYM are dual to those of correlation functions of the energy-momentum multiplet of the theory. The construction can relate amplitudes with different numbers of legs.\ud
By graph theory methods the integrand of the four-point function of energy-momentum multiplets has been constructed up to six loops in previous work. In this article we extend this analysis to seven loops and use it to construct the full integrand of the five-point amplitude up to five loops, and in the parity even sector to six loops.\ud
All results, both parity even and parity odd, are obtained in a concise local form in dual momentum space and can be displayed efficiently through graphs. We have verified agreement with other local formulae both in terms of supertwistors and scalar momentum integrals as well as BCJ forms where those exist in the literature, i.e. up to three loops.\ud
Finally we note that the four-point correlation function can be extracted directly from the four-point amplitude and so this uncovers a direct link from four- to five-point amplitudes
Bound states on the lattice with partially twisted boundary conditions

We propose a method to study the nature of exotic hadrons by determining the wave function renormalization constant Z from lattice simulations. It is shown that, instead of studying the volume-dependence of the spectrum, one may investigate the dependence of the spectrum on the twisting angle, imposing twisted boundary conditions on the fermion fields on the lattice. In certain cases, e.g., the case of the DK bound state which is addressed in detail, it is demonstrated that the partial twisting is equivalent to the full twisting up to exponentially small corrections
Holographic renormalization and anisotropic black branes in higher curvature gravity

We consider five-dimensional AdS-axion-dilaton gravity with a Gauss-Bonnet term and find a solution of the equations of motion which corresponds to a black brane exhibiting a spatial anisotropy, with the source of the anisotropy being an axion field linear in one of the horizon coordinates. Our solution is static, regular everywhere on and outside the horizon, and asymptotically AdS. It is analytic and valid in a small anisotropy expansion, but fully non-perturbative in the Gauss-Bonnet coupling. We discuss various features of this solution and use it as a gravity dual to a strongly coupled anisotropic plasma with two independent central charges, a ≠ c . In the limit of small Gauss-Bonnet coupling, we carry out holographic renormalization of the system using (a recursive variant of) the Hamilton-Jacobi method and derive a generic expression for the boundary stress tensor, which we later specialize to our solution. Finally, we compute the shear viscosity to entropy ratios and conductivities of this anisotropic plasma
Higgs-otic inflation and string theory

We propose that inflation is driven by a (complex) neutral Higgs of the MSSM extension of the SM, in a chaotic-like inflation setting. The SUSY breaking soft term masses are of order 10 12 − 10 13 GeV, which is identified with the inflaton mass scale and is just enough to stabilise the SM Higgs potential. The fine-tuned SM Higgs has then a mass around 126 GeV, in agreement with LHC results. We point out that the required large field excursions of chaotic inflation may be realised in string theory with the (complex) inflaton/Higgs identified with a continuous Wilson line or D-brane position. We show specific examples and study in detail a IIB orientifold with D7-branes at singularities, with SM gauge group and MSSM Higgs sector. In this case the inflaton/Higgs fields correspond to D7-brane positions along a two-torus transverse to them. Masses and monodromy are induced by closed string G 3 fluxes, and the inflaton potential can be computed directly from the DBI+CS action. We show how this action sums over Planck suppressed corrections, which amount to a field dependent rescaling of the inflaton fields, leading to a linear potential in the large field regime. We study the evolution of the two components of the Higgs/inflaton and compute the slow-roll parameters for purely adiabatic perturbations. For large regions of initial conditions slow roll inflation occurs and 50-60 efolds are obtained with r > 0.07, testable in forthcoming experiments. Our scheme is economical in the sense that both EWSB and inflation originate in the same sector of the theory, all inflaton couplings are known and reheating occurs efficiently
Magnetic susceptibility of a strongly interacting thermal medium with 2 + 1 quark flavors

Thermodynamics of the three-flavor quark-meson model with U A (1) anomaly is studied in the presence of external magnetic fields. The nonperturbative functional renormalization group is employed in order to incorporate quantum and thermal fluctuations beyond the mean-field approximation. We calculate the magnetic susceptibility with proper renormalization and find that the system is diamagnetic in the hadron phase and paramagnetic in the hot plasma phase. The obtained values of the magnetic susceptibility are in reasonable agreement with the data from first-principle lattice QCD. Comparison with the mean-field approximation, the Hadron Resonance Gas model and a free gas with temperature-dependent masses is also made