pinecone/core-2020-05-10-deduplication huggingface dataset:
An approach for the calculation of one-loop effective actions, vacuum
  energies, and spectral counting functions

In this paper, we provide an approach for the calculation of one-loop
effective actions, vacuum energies, and spectral counting functions and discuss
the application of this approach in some physical problems. Concretely, we
construct the equations for these three quantities; this allows us to achieve
them by directly solving equations. In order to construct the equations, we
introduce shifted local one-loop effective actions, shifted local vacuum
energies, and local spectral counting functions. We solve the equations of
one-loop effective actions, vacuum energies, and spectral counting functions
for free massive scalar fields in $\mathbb{R}^{n}$, scalar fields in
three-dimensional hyperbolic space $H_{3}$ (the Euclidean Anti-de Sitter space
$AdS_{3}$), in $H_{3}/Z$ (the geometry of the Euclidean BTZ black hole), and in
$S^{1}$, and the Higgs model in a $(1+1)$-dimensional finite interval.
Moreover, in the above cases, we also calculate the spectra from the counting
functions. Besides exact solutions, we give a general discussion on approximate
solutions and construct the general series expansion for one-loop effective
actions, vacuum energies, and spectral counting functions. In doing this, we
encounter divergences. In order to remove the divergences, renormalization
procedures are used. In this approach, these three physical quantities are
regarded as spectral functions in the spectral problem.Comment: 37 pages, no figure. This is an enlarged and improved version of the
  paper published in JHE
Dual Identities inside the Gluon and the Graviton Scattering Amplitudes

Recently, Bern, Carrasco and Johansson conjectured dual identities inside the
gluon tree scattering amplitudes. In this paper, we use the properties of the
heterotic string and open string tree scattering amplitudes to refine and
derive these dual identities. These identities can be carried over to loop
amplitudes using the unitarity method. Furthermore, given the $M$-gluon (as
well as gluon-gluino) tree amplitudes, $M$-graviton (as well as
graviton-gravitino) tree scattering amplitudes can be written down immediately,
avoiding the derivation of Feynman rules and the evaluation of Feynman diagrams
for graviton scattering amplitudes.Comment: 43 pages, 3 figures; typos corrected, a few points clarified
D3-brane Potentials from Fluxes in AdS/CFT

We give a comprehensive treatment of the scalar potential for a D3-brane in a
warped conifold region of a compactification with stabilized moduli. By
studying general ultraviolet perturbations in supergravity, we systematically
incorporate `compactification effects' sourced by supersymmetry breaking in the
compact space. Significant contributions to the D3-brane potential, including
the leading term in the infrared, arise from imaginary anti-self-dual (IASD)
fluxes. For an arbitrary Calabi-Yau cone, we determine the most general IASD
fluxes in terms of scalar harmonics, then compute the resulting D3-brane
potential. Specializing to the conifold, we identify the operator dual to each
mode of flux, and for chiral operators we confirm that the potential computed
in the gauge theory matches the gravity result. The effects of four-dimensional
curvature, including the leading D3-brane mass term, arise directly from the
ten-dimensional equations of motion. Furthermore, we show that gaugino
condensation on D7-branes provides a local source for IASD flux. This flux
precisely encodes the nonperturbative contributions to the D3-brane potential,
yielding a promising ten-dimensional representation of four-dimensional
nonperturbative effects. Our result encompasses all significant contributions
to the D3-brane potential discussed in the literature, and does so in the
single coherent framework of ten-dimensional supergravity. Moreover, we
identify new terms with irrational scaling dimensions that were inaccessible in
prior works. By decoupling gravity in a noncompact configuration, then
systematically reincorporating compactification effects as ultraviolet
perturbations, we have provided an approach in which Planck-suppressed
contributions to the D3-brane effective action can be computed.Comment: 70 page
Axion Protection from Flavor

The QCD axion fails to solve the strong CP problem unless all explicit PQ
violating, Planck-suppressed, dimension n<10 operators are forbidden or have
exponentially small coefficients. We show that all theories with a QCD axion
contain an irreducible source of explicit PQ violation which is proportional to
the determinant of the Yukawa interaction matrix of colored fermions.
Generically, this contribution is of low operator dimension and will
drastically destabilize the axion potential, so its suppression is a necessary
condition for solving the strong CP problem. We propose a mechanism whereby the
PQ symmetry is kept exact up to n=12 with the help of the very same flavor
symmetries which generate the hierarchical quark masses and mixings of the SM.
This "axion flavor protection" is straightforwardly realized in theories which
employ radiative fermion mass generation and grand unification. A universal
feature of this construction is that the heavy quark Yukawa couplings are
generated at the PQ breaking scale.Comment: 16 pages, 2 figure
Large-N spacetime reduction and the sign and silver-blaze problems of
  dense QCD

We study the spacetime-reduced (Eguchi-Kawai) version of large-N QCD with
nonzero chemical potential. We explore a method to suppress the sign
fluctuations of the Dirac determinant in the hadronic phase; the method employs
a re-summation of gauge configurations that are related to each other by center
transformations. We numerically test this method in two dimensions, and find
that it successfully solves the silver-blaze problem. We analyze the system
further, and measure its free energy F, the average phase theta of its Dirac
determinant, and its chiral condensate <psi-bar-psi>. We show that F and
<psi-bar-psi> are independent of mu in the hadronic phase but that, as chiral
perturbation theory predicts, the quenched chiral condensate drops from its
mu=0 value when mu~(pion mass)/2. Finally, we find that the distribution of
theta qualitatively agrees with further, more recent, predictions from chiral
perturbation theory.Comment: 43 pages, 17 figure
Hypermoduli Stabilization, Flux Attractors, and Generating Functions

We study stabilization of hypermoduli with emphasis on the effects of
generalized fluxes. We find a class of no-scale vacua described by ISD
conditions even in the presence of geometric flux. The associated flux
attractor equations can be integrated by a generating function with the
property that the hypermoduli are determined by a simple extremization
principle. We work out several orbifold examples where all vector moduli and
many hypermoduli are stabilized, with VEVs given explicitly in terms of fluxes.Comment: 45 pages, no figures; Version submitted to JHE
Quantum Fluctuations and the Unruh Effect in Strongly-Coupled Conformal
  Field Theories

Through the AdS/CFT correspondence, we study a uniformly accelerated quark in
the vacuum of strongly-coupled conformal field theories in various dimensions,
and determine the resulting stochastic fluctuations of the quark trajectory.
From the perspective of an inertial observer, these are quantum fluctuations
induced by the gluonic radiation emitted by the accelerated quark. From the
point of view of the quark itself, they originate from the thermal medium
predicted by the Unruh effect. We scrutinize the relation between these two
descriptions in the gravity side of the correspondence, and show in particular
that upon transforming the conformal field theory from Rindler space to the
open Einstein universe, the acceleration horizon disappears from the boundary
theory but is preserved in the bulk. This transformation allows us to directly
connect our calculation of radiation-induced fluctuations in vacuum with the
analysis by de Boer et al. of the Brownian motion of a quark that is on average
static within a thermal medium. Combining this same bulk transformation with
previous results of Emparan, we are also able to compute the stress-energy
tensor of the Unruh thermal medium.Comment: 1+31 pages; v2: reference adde
Universal Kaluza-Klein reductions of type IIB to N=4 supergravity in
  five dimensions

We construct explicit consistent Kaluza-Klein reductions of type IIB
supergravity on HK_4 x S^1, where HK_4 is an arbitrary four-dimensional
hyper-Kaehler manifold, and on SE5, an arbitrary five-dimensional
Sasaki-Einstein manifold. In the former case we obtain the bosonic action of
D=5 N=4 (ungauged) supergravity coupled to two vector multiplets. For the SE_5
case we extend a known reduction, which leads to minimal D=5 N=2 gauged
supergravity, to also include a multiplet of massive fields, containing the
breathing mode of the SE_5. We show that the resulting D=5 action is also
consistent with N=4 gauged supergravity coupled to two vector multiplets. This
theory has a supersymmetric AdS_5 vacuum, which uplifts to the class of
supersymmetric AdS_5 x SE_5 solutions, that spontaneously breaks N=4 to N=2,
and also a non-supersymmetric AdS_5 vacuum which uplifts to a class of
solutions first found by Romans.Comment: 1+34 pages. v2: Minor typos corrected, three references added.
  Version to be published in JHE
Moduli Redefinitions and Moduli Stabilisation

Field redefinitions occur in string compactifications at the one loop level.
We review arguments for why such redefinitions occur and study their effect on
moduli stabilisation and supersymmetry breaking in the LARGE volume scenario.
For small moduli, although the effect of such redefinitions can be larger than
that of the $\alpha'$ corrections in both the K\"ahler and scalar potentials,
they do not alter the structure of the scalar potential. For the less well
motivated case of large moduli, the redefinitions can dominate all other terms
in the scalar potential. We also study the effect of redefinitions on the
structure of supersymmetry breaking and soft terms.Comment: 21 pages, 3 figures; v2. references adde
Pure Spinor Approach to Type IIA Superstring Sigma Models and Free
  Differential Algebras

This paper considers the Free Differential Algebra and rheonomic
parametrization of type IIA Supergravity, extended to include the BRS
differential and the ghosts. We consider not only the ghosts lambda's of
supersymmetry but also the ghosts corresponding to gauge and Lorentz
transformations. In this way we can derive not only the BRS transformations of
fields and ghosts but also the standard pure spinor constraints on lambda's.
Moreover the formalism allows to derive the action for the pure spinor
formulation of type IIA superstrings in a general background, recovering the
action first obtained by Berkovits and Howe.Comment: 1+23 pages, v2: added clarifications and a reference, misprints
  corrected, v3: presentation improved, results unchange
Constraining Proton Lifetime in SO(10) with Stabilized Doublet-Triplet
  Splitting

We present a class of realistic unified models based on supersymmetric SO(10)
wherein issues related to natural doublet-triplet (DT) splitting are fully
resolved. Using a minimal set of low dimensional Higgs fields which includes a
single adjoint, we show that the Dimopoulos--Wilzcek mechanism for DT splitting
can be made stable in the presence of all higher order operators without having
pseudo-Goldstone bosons and flat directions. The \mu term of order TeV is found
to be naturally induced. A Z_2-assisted anomalous U(1)_A gauge symmetry plays a
crucial role in achieving these results. The threshold corrections to
alpha_3(M_Z), somewhat surprisingly, are found to be controlled by only a few
effective parameters. This leads to a very predictive scenario for proton
decay. As a novel feature, we find an interesting correlation between the d=6
(p\to e^+\pi^0) and d=5 (p\to \nu-bar K+) decay amplitudes which allows us to
derive a constrained upper limit on the inverse rate of the e^+\pi^0 mode. Our
results show that both modes should be observed with an improvement in the
current sensitivity by about a factor of five to ten.Comment: 21 pages LaTeX, 2 figures, Few explanatory sentences and three new
  references added, minor typos corrected
Higher-order QCD perturbation theory in different schemes: From FOPT to
  CIPT to FAPT

Results on the resummation of non-power-series expansions of the Adler
function of a scalar, $D_S$, and a vector, $D_V$, correlator are presented
within fractional analytic perturbation theory (FAPT). The first observable can
be used to determine the decay width $\Gamma_{H\to b\bar{b}}$ of a scalar Higgs
boson to a bottom-antibottom pair, while the second one is relevant for the
$e^+e^-$ annihilation cross section. The obtained estimates are compared with
those from fixed-order (FOPT) and contour-improved perturbation theory (CIPT),
working out the differences. We prove that although FAPT and CIPT are
conceptually different, they yield identical results. The convergence
properties of these expansions are discussed and predictions are extracted for
the resummed series of $R_S$ and $D_V$ using one- and two-loop coupling
running, and making use of appropriate generating functions for the
coefficients of the perturbative series.Comment: 34 pages, 7 figures, 7 tables. Version 4: Fig. 4 (left panel)
  corrected; some typos with Kroneccker symbols in Eqs. (D14) and (D18)
  correcte
Integrated dipoles with MadDipole in the MadGraph framework

Heading towards a full automation of next-to-leading order (NLO) QCD
corrections, one important ingredient is the analytical integration over the
one-particle phase space of the unresolved particle that is necessary when
adding the subtraction terms to the virtual corrections. We present the
implementation of these integrated dipoles in the MadGraph framework. The
result is a package that allows an automated calculation for the NLO real
emission parts of an arbitrary process.Comment: 22 pages, 1 figure. Published version: few reference updates and a
  couple of minor corrections to the tex
Acoustic black holes for relativistic fluids

We derive a new acoustic black hole metric from the Abelian Higgs model. In
the non-relativistic limit, while the Abelian Higgs model becomes the
Ginzburg-Landau model, the metric reduces to an ordinary Unruh type. We
investigate the possibility of using (type I and II) superconductors as the
acoustic black holes. We propose to realize experimental acoustic black holes
by using spiral vortices solutions from the Navier-stokes equation in the
non-relativistic classical fluids.Comment: 16 pages. typos corrected, contents expande
Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3

We study the exact spectrum of the AdS4/CFT3 duality put forward by Aharony,
Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz
(TBA) equations for the planar ABJM theory, starting from "mirror" asymptotic
Bethe equations which we conjecture. We also propose generalization of the TBA
equations for excited states. The recently proposed Y-system is completely
consistent with the TBA equations for a large subsector of the theory, but
should be modified in general. We find the general asymptotic infinite length
solution of the Y-system, and also several solutions to all wrapping orders in
the strong coupling scaling limit. To make a comparison with results obtained
from string theory, we assume that the all-loop Bethe ansatz of N.G. and P.
Vieira is the valid worldsheet theory description in the asymptotic regime. In
this case we find complete agreement, to all orders in wrappings, between the
solution of our Y-system and generic quasi-classical string spectrum in AdS3 x
S.Comment: references added + minor changes; published versio
DWSB in heterotic flux compactifications

We address the construction of non-supersymmetric vacua in heterotic
compactifications with intrinsic torsion and background fluxes. In particular,
we implement the approach of domain-wall supersymmetry breaking (DWSB)
previously developed in the context of type II flux compactifications. This
approach is based on considering backgrounds where probe NS5-branes wrapping
internal three-cycles and showing up as four-dimensional domain-walls do not
develop a BPS bound, while all the other BPS bounds characterizing the N=1
supersymmetric compactifications are preserved at tree-level. Via a scalar
potential analysis we provide the conditions for these backgrounds to solve the
ten-dimensional equations of motion including order \alpha' corrections. We
also consider backgrounds where some of the NS5-domain-walls develop a BPS
bound, show their relation to no-scale SUSY-breaking vacua and construct
explicit examples via elliptic fibrations. Finally, we consider backgrounds
with a non-trivial gaugino condensate and discuss their relation to
supersymmetric and non-supersymmetric vacua in the present context.Comment: 56 pages, 1 figur
D-branes at Toric Singularities: Model Building, Yukawa Couplings and
  Flavour Physics

We discuss general properties of D-brane model building at toric
singularities. Using dimer techniques to obtain the gauge theory from the
structure of the singularity, we extract results on the matter sector and
superpotential of the corresponding gauge theory. We show that the number of
families in toric phases is always less than or equal to three, with a unique
exception being the zeroth Hirzebruch surface. With the physical input of three
generations we find that the lightest family of quarks is massless and the
masses of the other two can be hierarchically separated. We compute the CKM
matrix for explicit models in this setting and find the singularities possess
sufficient structure to allow for realistic mixing between generations and CP
violation.Comment: 55 pages, v2: typos corrected, minor comments adde
Holography of Charged Dilaton Black Holes in General Dimensions

We study several aspects of charged dilaton black holes with planar symmetry
in $(d+2)$-dimensional spacetime, generalizing the four-dimensional results
investigated in arXiv:0911.3586 [hep-th]. We revisit the exact solutions with
both zero and finite temperature and discuss the thermodynamics of the
near-extremal black holes. We calculate the AC conductivity in the
zero-temperature background by solving the corresponding Schr\"{o}dinger
equation and find that the AC conductivity behaves like $\omega^{\delta}$,
where the exponent $\delta$ is determined by the dilaton coupling $\alpha$ and
the spacetime dimension parameter $d$. Moreover, we also study the Gauss-Bonnet
corrections to $\eta/s$ in a five-dimensional finite-temperature background.Comment: 23 pages, LaTeX, to appear in JHE
Holographic duals of SQCD models in low dimensions

We obtain gravity duals to supersymmetric gauge theories in two and three
spacetime dimensions with unquenched flavor. The supergravity solutions are
generated by a set of color branes wrapping a compact cycle in a Calabi-Yau
threefold, together with another set of flavor branes extended along the
directions orthogonal to the cycle wrapped by the color branes. We construct
supergravity backgrounds which include the backreaction induced by a smeared
set of flavor branes, which act as delocalized dynamical sources of the
different supergravity fields.Comment: 42 pages, 5 figures;v2: typos correcte
Antenna subtraction for gluon scattering at NNLO

We use the antenna subtraction method to isolate the double real radiation
infrared singularities present in gluonic scattering amplitudes at
next-to-next-to-leading order. The antenna subtraction framework has been
successfully applied to the calculation of NNLO corrections to the 3-jet cross
section and related event shape distributions in electron-positron
annihilation. Here we consider processes with two coloured particles in the
initial state, and in particular two-jet production at hadron colliders such as
the Large Hadron Collider (LHC). We construct a subtraction term that describes
the single and double unresolved contributions from the six-gluon tree-level
process using antenna functions with initial state partons and show numerically
that the subtraction term correctly approximates the matrix elements in the
various single and double unresolved configurations.Comment: 71 pages, JHEP3 class; corrected typos, equivalent but more compact
  version of eq. (5.12), results unchange
Causality in AdS/CFT and Lovelock theory

We explore the constraints imposed on higher curvature corrections of the
Lovelock type due to causality restrictions in the boundary of asymptotically
AdS space-time. In the framework of AdS/CFT, this is related to positivity of
the energy constraints that arise in conformal collider physics. We present
explicit analytic results that fully address these issues for cubic Lovelock
gravity in arbitrary dimensions and give the formal analytic results that
comprehend general Lovelock theory. The computations can be performed in two
ways, both by considering a thermal setup in a black hole background and by
studying the scattering of gravitons with a shock wave in AdS. We show that
both computations coincide in Lovelock theory. The different helicities, as
expected, provide the boundaries defining the region of allowed couplings. We
generalize these results to arbitrary higher dimensions and discuss their
consequences on the shear viscosity to energy density ratio of CFT plasmas, the
possible existence of Boulware-Deser instabilities in Lovelock theory and the
extent to which the AdS/CFT correspondence might be valid for arbitrary
dimensions.Comment: 35 pages, 20 figures; v2: minor amendments and clarifications
  include
The Hilbert Series of the One Instanton Moduli Space

The moduli space of k G-instantons on R^4 for a classical gauge group G is
known to be given by the Higgs branch of a supersymmetric gauge theory that
lives on Dp branes probing D(p + 4) branes in Type II theories. For p = 3,
these (3 + 1) dimensional gauge theories have N = 2 supersymmetry and can be
represented by quiver diagrams. The F and D term equations coincide with the
ADHM construction. The Hilbert series of the moduli spaces of one instanton for
classical gauge groups is easy to compute and turns out to take a particularly
simple form which is previously unknown. This allows for a G invariant
character expansion and hence easily generalisable for exceptional gauge
groups, where an ADHM construction is not known. The conjectures for
exceptional groups are further checked using some new techniques like sewing
relations in Hilbert Series. This is applied to Argyres-Seiberg dualities.Comment: 43 pages, 22 figure
Greybody factors for topological massless black holes

We study the reflection coefficient, the transmission coefficient and the
greybody factors for black holes with topologically non trivial transverse
sections in 4 and d-dimensions, in the limit of low energy. Considering a
massive scalar field in a topological massless black hole background, which is
non minimally coupled to the curvature and assuming the horizon geometry with a
negative constant curvature. Mainly, we show that there is range of modes which
contribute to the absorption cross section in the zero-frequency limit, at
difference of the result existing in the literature. Where, the mode with
lowest angular momentum contribute to the absorption cross section. Also we
show that the condition that the sum of the reflection coefficient and the
transmission coefficient is equal to one is always satisfied for these kind of
black holes.Comment: 13 pages, 15 figures