pinecone/core-2020-05-10-deduplication huggingface dataset:
Non-commutativity from the double sigma model

We show how non-commutativity arises from commutativity in the double sigma
model. We demonstrate that this model is intrinsically non-commutative by
calculating the propagators. In the simplest phase configuration, there are two
dual copies of commutative theories. In general rotated frames, one gets a
non-commutative theory and a commutative partner. Thus a non-vanishing $B$ also
leads to a commutative theory. Our results imply that $O\left(D,D\right)$
symmetry unifies not only the big and small torus physics, but also the
commutative and non-commutative theories. The physical interpretations of the
metric and other parameters in the double sigma model are completely dictated
by the boundary conditions. The open-closed relation is also an $O(D,D)$
rotation and naturally leads to the Seiberg-Witten map. Moreover, after
applying a second dual rotation, we identify the description parameter in the
Seiberg-Witten map as an $O(D,D)$ group parameter and all theories are
non-commutative under this composite rotation. As a bonus, the propagators of
general frames in double sigma model for open string are also presented.Comment: V2,15pages, references added and typos corrected. Latex2
On the Spectrum of Superspheres

Sigma models on coset superspaces, such as odd dimensional superspheres, play
an important role in physics and in particular the AdS/CFT correspondence. In
this work we apply recent general results on the spectrum of coset space models
and on supergroup WZNW models to study the conformal sigma model with target
space S^{3|2}. We construct its vertex operators and provide explicit formulas
for their anomalous dimensions, at least to leading order in the sigma model
coupling. The results are used to revisit a non-perturbative duality between
the supersphere and the OSP(4|2) Gross-Neveu model that was conjectured by
Candu and Saleur. With the help of powerful all-loop results for 1/2 BPS
operators in the Gross-Neveu model we are able to recover the entire zero mode
spectrum of the sigma model at a certain finite value of the Gross-Neveu
coupling. In addition, we argue that the sigma model constraints and equations
of motion are implemented correctly in the dual Gross-Neveu description. On the
other hand, high(er) gradient operators of the sigma model are not all
accounted for. It is possible that this discrepancy is related to an
instability from high gradient operators that has previously been observed in
the context of Anderson localization
Classical Gluon Production Amplitude for Nucleus-Nucleus Collisions:
  First Saturation Correction in the Projectile

We calculate the classical single-gluon production amplitude in
nucleus-nucleus collisions including the first saturation correction in one of
the nuclei (the projectile) while keeping multiple-rescattering (saturation)
corrections to all orders in the other nucleus (the target). In our
approximation only two nucleons interact in the projectile nucleus: the
single-gluon production amplitude we calculate is order-g^3 and is
leading-order in the atomic number of the projectile, while resumming all
order-one saturation corrections in the target nucleus. Our result is the first
step towards obtaining an analytic expression for the first projectile
saturation correction to the gluon production cross section in nucleus-nucleus
collisions.Comment: 37 pages, 24 figure
Instanton operators in five-dimensional gauge theories

This article is distributed under the terms of the Creative Commons\ud
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in\ud
any medium, provided the original author(s) and source are creditedN.L. is supported in part by STFC grant ST/J002798/1. C.P. is a Royal Society Research Fellow.N.L. is supported in part by STFC grant ST/J002798/1. C.P. is a Royal Society Research Fellow.We discuss instanton operators in five-dimensional gauge theories. These are defined as disorder operators which create a non-vanishing second Chern class on a foursphere surrounding their insertion point. As such they may be thought of as higherdimensional analogues of three-dimensional monopole (or â\u80\u98t Hooft) operators. We argue that they play an important role in the enhancement of the Lorentz symmetry for maximally supersymmetric Yang-Mills to SO(1, 5) at strong couplin
Commuting Quantum Matrix Models

We study a quantum system of $p$ commuting matrices and find that such a
quantum system requires an explicit curvature dependent potential in its
Lagrangian for the system to have a finite energy ground state. In contrast it
is possible to avoid such curvature dependence in the Hamiltonian. We study the
eigenvalue distribution for such systems in the large matrix size limit. A
critical r\^ole is played by $p=4$. For $p\ge4$ the competition between
eigenvalue repulsion and the attractive potential forces the eigenvalues to
form a sharp spherical shell.Comment: 17 page
Probing Triple-W Production and Anomalous WWWW Coupling at the CERN LHC
  and future 100TeV proton-proton collider

Triple gauge boson production at the LHC can be used to test the robustness
of the Standard Model and provide useful information for VBF di-boson
scattering measurement. Especially, any derivations from SM prediction will
indicate possible new physics. In this paper we present a detailed Monte Carlo
study on measuring WWW production in pure leptonic and semileptonic decays, and
probing anomalous quartic gauge WWWW couplings at the CERN LHC and future
hadron collider, with parton shower and detector simulation effects taken into
account. Apart from cut-based method, multivariate boosted decision tree method
has been exploited for possible improvement. For the leptonic decay channel,
our results show that at the sqrt{s}=8(14)[100] TeV pp collider with integrated
luminosity of 20(100)[3000] fb-1, one can reach a significance of
0.4(1.2)[10]sigma to observe the SM WWW production. For the semileptonic decay
channel, one can have 0.5(2)[14]sigma to observe the SM WWW production. We also
give constraints on relevant Dim-8 anomalous WWWW coupling parameters.Comment: Accepted version by JHE
Deformed Twistors and Higher Spin Conformal (Super-)Algebras in Six
  Dimensions

Massless conformal scalar field in six dimensions corresponds to the minimal
unitary representation (minrep) of the conformal group SO(6,2). This minrep
admits a family of deformations labelled by the spin t of an SU(2)_T group,
which is the 6d analog of helicity in four dimensions. These deformations of
the minrep of SO(6,2) describe massless conformal fields that are symmetric
tensors in the spinorial representation of the 6d Lorentz group. The minrep and
its deformations were obtained by quantization of the nonlinear realization of
SO(6,2) as a quasiconformal group in arXiv:1005.3580. We give a novel
reformulation of the generators of SO(6,2) for these representations as
bilinears of deformed twistorial oscillators which transform nonlinearly under
the Lorentz group SO(5,1) and apply them to define higher spin algebras and
superalgebras in AdS_7. The higher spin (HS) algebra of Fradkin-Vasiliev type
in AdS_7 is simply the enveloping algebra of SO(6,2) quotiented by a two-sided
ideal (Joseph ideal) which annihilates the minrep. We show that the Joseph
ideal vanishes identically for the quasiconformal realization of the minrep and
its enveloping algebra leads directly to the HS algebra in AdS_7. Furthermore,
the enveloping algebras of the deformations of the minrep define a discrete
infinite family of HS algebras in AdS_7 for which certain 6d Lorentz covariant
deformations of the Joseph ideal vanish identically. These results extend to
superconformal algebras OSp(8*|2N) and we find a discrete infinite family of HS
superalgebras as enveloping algebras of the minimal unitary supermultiplet and
its deformations. Our results suggest the existence of a discrete family of
(supersymmetric) HS theories in AdS_7 which are dual to free (super)conformal
field theories (CFTs) or to interacting but integrable (supersymmetric) CFTs in
6d.Comment: 30 pages; Latex file; Discussion in section 3.2 expanded; typos
  corrected; minor modifications; version to be published in JHE
Static BPS Black Holes in AdS4 with General Dyonic Charges

We complete the study of static BPS, asymptotically AdS$_4$ black holes
within N=2 FI-gauged supergravity and where the scalar manifold is a
homogeneous very special Kahler manifold. We find the analytic form for the
general solution to the BPS equations, the horizon appears as a double root of
a particular quartic polynomial whereas in previous work this quartic
polynomial further factored into a pair of double roots. A new and
distinguishing feature of our solutions is that the phase of the supersymmetry
parameter varies throughout the black hole. The general solution has $2n_v$
independent parameters; there are two algebraic constraints on $2n_v+2$
charges, matching our previous analysis on BPS solutions of the form
$AdS_2\times \Sigma_g$. As a consequence we have proved that every BPS geometry
of this form can arise as the horizon geometry of a BPS AdS$_4$ black hole.
When specialized to the STU-model our solutions uplift to M-theory and describe
a stack of M2-branes wrapped on a Riemman surface in a Calabi-Yau fivefold with
internal angular momentum.Comment: 17 pages. v2: clarified discussion of the BPS equations, minor
  correction
Notes on the BMS group in three dimensions: II. Coadjoint representation

The coadjoint representation of the BMS$_3$ group, which governs the
covariant phase space of three-dimensional asymptotically flat gravity, is
investigated. In particular, we classify coadjoint BMS$_3$ orbits and show that
intrinsic angular momentum is free of supertranslation ambiguities. Finally,
the link with induced representations upon geometric quantization is discussed.Comment: 22 pages, references added, accepted for publication in JHEP. v3:
  Minor typos corrected, matches published versio
Reference results for time-like evolution up to
  $\mathcal{O}(\alpha_s^3)$

We present high-precision numerical results for time-like
Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution in the $\bar{\rm MS}$
factorisation scheme, for the first time up to next-to-next-to-leading order
accuracy in quantum chromodynamics. First, we scrutinise the analytical
expressions of the splitting functions available in the literature, in both x
and N space, and check their mutual consistency. Second, we implement time-like
evolution in two publicly available, entirely independent and conceptually
different numerical codes, in x and N space respectively: the already existing
APFEL code, which has been updated with time-like evolution, and the new MELA
code, which has been specifically developed to perform the study in this work.
Third, by means of a model for fragmentation functions, we provide results for
the evolution in different factorisation schemes, for different ratios between
renormalisation and factorisation scales and at different final scales. Our
results are collected in the format of benchmark tables, which could be used as
a reference for global determinations of fragmentation functions in the future.Comment: 28 pages, 5 figures, 36 tables. Final version, matches published
  version in JHEP. Program available from http://apfel.hepforge.org
Quiver Tails and N=1 SCFTs from M5-branes

We study a class of four-dimensional N=1 superconformal field theories
obtained by wrapping M5-branes on a Riemann surface with punctures. We identify
UV descriptions of four-dimensional SCFTs corresponding to curves with a class
of punctures. The quiver tails appearing in these UV descriptions differ
significantly from their N=2 counterpart. We find a new type of object that we
call the `Fan'. We show how to construct new N=1 superconformal theories using
the Fan. Various dual descriptions for these SCFTs can be identified with
different colored pair-of-pants decompositions. For example, we find an N=1
analog of Argyres-Seiberg duality for the SU(N) SQCD with 2N flavors. We also
compute anomaly coefficients and superconformal indices for these theories and
show that they are invariant under dualities.Comment: 40 pages + appendices, 32 figures; v2: minor corrections; v3: more
  corrections, improved figures and presentation. to appear in JHE
Warping the Kähler potential of F-theory/IIB flux compactifications

We identify the low-energy Kähler potential of warped F-theory/IIB flux compactifications whose light spectrum includes universal, Kähler, axionic and mobile D3-brane moduli. The derivation is based on four-dimensional local superconformal symmetry and holomorphy of brane instanton contributions and it reproduces and generalises previous partial results. We compute the resulting kinetic terms, which show their explicit dependence on the warping. The Kähler potential satisfies the no-scale condition and produces, at leading order in the large volume expansion, a specific correction to the unwarped Kähler potential
Conductivity of a strange metal: from holography to memory functions

We study the electrical response of a wide class of strange metal phases
without quasiparticles at finite temperature and charge density, with
explicitly broken translational symmetry, using holography. The low frequency
electrical conductivity exhibits a Drude peak, so long as momentum relaxation
is slow. The relaxation time and the direct current conductivity are exactly
equal to what is computed, independently of holography, via the memory function
framework.Comment: 14 pages. v2: very minor changes. v3: references updated. published
  versio
Nonperturbative black hole entropy and Kloosterman sums

Non-perturbative quantum corrections to supersymmetric black hole entropy
often involve nontrivial number-theoretic phases called Kloosterman sums. We
show how these sums can be obtained naturally from the functional integral of
supergravity in asymptotically AdS_2 space for a class of black holes. They are
essentially topological in origin and correspond to charge-dependent phases
arising from the various gauge and gravitational Chern-Simons terms and
boundary Wilson lines evaluated on Dehn-filled solid 2-torus. These corrections
are essential to obtain an integer from supergravity in agreement with the
quantum degeneracies, and reveal an intriguing connection between topology,
number theory, and quantum gravity. We give an assessment of the current
understanding of quantum entropy of black holes.Comment: 35 pages; minor changes, JHEP versio
Renyi entropy, stationarity, and entanglement of the conformal scalar

We extend previous work on the perturbative expansion of the Renyi entropy,
$S_q$, around $q=1$ for a spherical entangling surface in a general CFT.
Applied to conformal scalar fields in various spacetime dimensions, the results
appear to conflict with the known conformal scalar Renyi entropies. On the
other hand, the perturbative results agree with known Renyi entropies in a
variety of other theories, including theories of free fermions and vector
fields and theories with Einstein gravity duals. We propose a resolution
stemming from a careful consideration of boundary conditions near the
entangling surface. This is equivalent to a proper treatment of
total-derivative terms in the definition of the modular Hamiltonian. As a
corollary, we are able to resolve an outstanding puzzle in the literature
regarding the Renyi entropy of ${\cal N}=4$ super-Yang-Mills near $q=1$. A
related puzzle regards the question of stationarity of the renormalized
entanglement entropy (REE) across a circle for a (2+1)-dimensional massive
scalar field. We point out that the boundary contributions to the modular
Hamiltonian shed light on the previously-observed non-stationarity. Moreover,
IR divergences appear in perturbation theory about the massless fixed point
that inhibit our ability to reliably calculate the REE at small non-zero mass.Comment: 37 page
About the phase space of SL(3) Black Holes

In this note we address some issues of recent interest, related to the
asymptotic symmetry algebra of higher spin black holes in
$sl(3,\mathbb{R})\times sl(3,\mathbb{R})$ Chern Simons (CS) formulation. We
compute the fixed time Dirac bracket algebra that acts on two different phase
spaces. Both of these spaces contain black holes as zero modes. The result for
one of these phase spaces is explicitly shown to be isomorphic to
$W^{(2)}_3\times W^{(2)}_3$ in first order perturbations.Comment: improved presentatio
Medium-induced jet evolution: wave turbulence and energy loss

40 pages, 12 figuresInternational audienceWe study the gluon cascade generated via successive medium-induced branchings by an energetic parton propagating through a dense QCD medium. We focus on the high-energy regime where the energy $E$ of the leading particle is much larger than the characteristic medium scale $\omega_c=\hat q L^2/2$, with $\hat q$ the jet quenching parameter and $L$ the distance travelled through the medium. In this regime the leading particle loses only a small fraction $\sim\alpha_s(\omega_c/E)$ of its energy and can be treated as a steady source of radiation for gluons with energies $\omega\le\omega_c$. For this effective problem with a source, we obtain exact analytic solutions for the gluon spectrum and the energy flux. The solutions exhibit wave turbulence: the basic physical process is a continuing fragmentation which is `quasi-democratic' (i.e. quasi-local in energy) and which provides an energy transfer from the source to the medium at a rate (the energy flux $\mathcal{F}$) which is quasi-independent of $\omega$. The locality of the branching process implies a spectrum of the Kolmogorov-Obukhov type, i.e. a power-law spectrum which is a fixed point of the branching process and whose strength is proportional to the energy flux: $D(\omega)\sim\mathcal{F}/\sqrt\omega$ for $\omega\ll\omega_c$. Via this turbulent flow, the gluon cascade loses towards the medium an energy $\Delta E\sim\alpha_s^2\omega_c$, which is independent of the initial energy $E$ of the leading particle and of the details of the thermalization mechanism at the low-energy end of the cascade. This energy is carried away by very soft gluons, which propagate at very large angles with respect to the jet axis. Our predictions for the value of $\Delta E$ and for its angular distribution appear to agree quite well, qualitatively and even semi-quantitatively, with the phenomenology of di-jet asymmetry in nucleus-nucleus collisions at the LHC
Higgs boson gluon-fusion production beyond threshold in N3LO QCD

In this article, we compute the gluon fusion Higgs boson cross-section at N3LO through the second term in the threshold expansion. This calculation constitutes a major milestone towards the full N3LO cross section. Our result has the best formal accuracy in the threshold expansion currently available, and includes contributions from collinear regions besides subleading corrections from soft and hard regions, as well as certain logarithmically enhanced contributions for general kinematics. We use our results to perform a critical appraisal of the validity of the threshold approximation at N3LO in perturbative QCD
Measurement of dijet production in diffractive deep-inelastic ep scattering at HERA

A measurement is presented of single- and double-differential dijet cross sections in diffractive deep-inelastic ep scattering at HERA using data collected by the H1 experiment corresponding to an integrated luminosity of 290 pb −1 . The investigated phase space is spanned by the photon virtuality in the range of 4 < Q 2 < 100 GeV 2 and by the fractional proton longitudinal momentum loss x ℙ < 0 . 03. The resulting cross sections are compared with next-to-leading order QCD predictions based on diffractive parton distribution functions and the value of the strong coupling constant is extracted
Non-global logarithms at finite Nc beyond leading order

We analytically compute non-global logarithms at finite Nc fully up to 4
loops and partially at 5 loops, for the hemisphere mass distribution in e+e- to
di-jets to leading logarithmic accuracy. Our method of calculation relies
solely on integrating the eikonal squared-amplitudes for the emission of soft
energy-ordered real-virtual gluons over the appropriate phase space. We show
that the series of non-global logarithms in the said distribution exhibits a
pattern of exponentiation thus confirming - by means of brute force - previous
findings. In the large-Nc limit, our results coincide with those recently
reported in literature. A comparison of our proposed exponential form with
all-orders numerical solutions is performed and the phenomenological impact of
the finite-Nc corrections is discussed.Comment: 31 pages, 5 figure, uses jheppub.sty, minor corrections to previous
  version and added some reference
Four-Quark Effective Operators at Hadron Colliders

The robustness of translating effective operator constraints to BSM theories
crucially depends on the mass and coupling of BSM particles. This is especially
relevant for hadron colliders where the partonic centre of mass energy is
around the typical energy scales of natural BSM theories. The caveats in
applying the limits are discussed using Z' and G' models, illustrating the
effects for a large class of models. This analysis shows that the applicability
of effective operators mainly depends on the ratio of the transfer energy in
the events and the mass scale of the full theory. Moreover, based on these
results a method is developed to recast existing experimental limits on
four-quark effective operators to the full theory parameter space.Comment: 28 pages, 10 figures, version 2 updated to JHEP 03 (2015) 09
Nuclear electric dipole moments in chiral effective field theory

We provide a consistent and complete calculation of the electric dipole moments of the deuteron, helion, and triton in the framework of chiral effective field theory. The CP-conserving and CP-violating interactions are treated on equal footing and we consider CP-violating one-, two-, and three-nucleon operators up to next-to-leading-order in the chiral power counting. In particular, we calculate for the first time EDM contributions induced by the CP-violating three-pion operator. We find that effects of CP-violating nucleon-nucleon contact interactions are larger than those found in previous studies based on phenomenological models for the CP-conserving nucleon-nucleon interactions. Our results which apply to any model of CP violation in the hadronic sector can be used to test various scenarios of CP violation. As examples, we study the implications of our results on the QCD θ-term and the minimal left-right symmetric model
Quivers, words and fundamentals

40 pages + Appendices, 9 figures40 pages + Appendices, 9 figuresÂ© 2015, The Author(s).Abstract: A systematic study of holomorphic gauge invariant operators in general N = 1 quiver gauge theories, with unitary gauge groups and bifundamental matter fields, was recently presented in [1]. For large ranks a simple counting formula in terms of an infinite product was given. We extend this study to quiver gauge theories with fundamental matter fields, deriving an infinite product form for the refined counting in these cases. The infinite products are found to be obtained from substitutions in a simple building block expressed in terms of the weighted adjacency matrix of the quiver. In the case without fundamentals, it is a determinant which itself is found to have a counting interpretation in terms of words formed from partially commuting letters associated with simple closed loops in the quiver. This is a new relation between counting problems in gauge theory and the Cartier-Foatamonoid. For finite ranks of the unitary gauge groups, the refined counting is given in terms of expressions involving Littlewood-Richardson coefficients