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We study finite temperature properties of four dimensional QCD-like gauge theories in the gauge theory/gravity duality picture. The gravity dual contains two deformed 5d AdS metrics, with and without a black hole, and a dilaton. We study…

High Energy Physics - Phenomenology · Physics 2010-10-27 K. Kajantie , T. Tahkokallio , Jung-Tay Yee

We study conformal Ward-Takahashi identities for two-point functions in $d(\geq3)$-dimensional finite-temperature conformal field theory. We first show that the conformal Ward-Takahashi identities can be translated into the intertwining…

High Energy Physics - Theory · Physics 2019-07-29 Satoshi Ohya

Conformal Field Theories (CFTs) are special classes of quantum field theories that find applications ranging from critical phenomena to theories of quantum gravity via holography. Understanding thermal effects in CFTs is crucial:…

High Energy Physics - Theory · Physics 2025-08-05 Alessio Miscioscia

We study the thermodynamic relations of conformal field theories (CFTs), which are holographically dual to anti-de Sitter-Schwarzschild bulk space-times. A Cardy-Verlinde formula is derived thermodynamically for CFTs living on S^n x R with…

High Energy Physics - Theory · Physics 2008-11-26 L. Cappiello , W. Mueck

Models with radiative symmetry breaking typically feature strongly supercooled first-order phase transitions, which result in an observable stochastic gravitational wave background. In this work, we analyse the role of higher order thermal…

High Energy Physics - Phenomenology · Physics 2024-03-15 Maciej Kierkla , Bogumila Swiezewska , Tuomas V. I. Tenkanen , Jorinde van de Vis

We discuss upper bounds on the mutual information for disjoint spherical regions of the CFT vacuum. To prove our bounds, we utilize the modular nuclearity condition, which is in turn related to finiteness of the thermal partition function…

High Energy Physics - Theory · Physics 2025-10-29 Fikret Ceyhan , Thomas Faulkner

We investigate the high temperature phase of a dilaton flow deformation of the AdS/CFT Correspondence. We argue that these geometries should be interpreted as the N=4 gauge theory perturbed by a SO(6) invariant scalar mass and that the…

High Energy Physics - Theory · Physics 2009-02-23 Nick Evans , Ed Threlfall

We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of N=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is bounded from…

High Energy Physics - Theory · Physics 2007-05-23 George Siopsis

The high-temperature limit of the superconformal index, especially on higher sheets, often captures useful universal information about a theory. In 4d $\mathcal{N}=2$ superconformal field theories with fractional r-charges, there exists a…

High Energy Physics - Theory · Physics 2026-05-21 Arash Arabi Ardehali , Mykola Dedushenko , Dongmin Gang , Mikhail Litvinov

We initiate an approach to constraining conformal field theory (CFT) data at finite temperature using methods inspired by the conformal bootstrap for vacuum correlation functions. We focus on thermal one- and two-point functions of local…

High Energy Physics - Theory · Physics 2018-11-14 Luca Iliesiu , Murat Koloğlu , Raghu Mahajan , Eric Perlmutter , David Simmons-Duffin

In this work, corrections for the Weyl law and Weyl conjecture in d dimensions are obtained and effects related to the polarization and area term are analyzed. The derived formalism is applied on the quasithermodynamics of the…

Quantum Physics · Physics 2023-11-02 M. C. Baldiotti , M. A. Jaraba , L. F. Santos , C. Molina

We derive new closed form expressions for the partition functions of free conformally-coupled scalars on $S^{2D-1}\times S^1$ which resum the exact high-temperature expansion. The derivation relies on an identification of the partition…

High Energy Physics - Theory · Physics 2024-11-26 Yang Lei , Sam van Leuven

We introduce a novel method to bootstrap crossing equations in Conformal Field Theory and apply it to finite temperature theories on $S^1\times \mathbb{R}^{d-1}$. The proposed approach does not rely on positivity constraints and does not…

High Energy Physics - Theory · Physics 2025-12-01 V. Niarchos , C. Papageorgakis , A. Stratoudakis , M. Woolley

We study $D$-dimensional gauge theory with an extra dimension of a circle at finite temperature. We mainly focus on the expectation value of the gauge field for the direction of the extra dimension, which is the order parameter of the gauge…

High Energy Physics - Theory · Physics 2009-10-29 Makoto Sakamoto , Kazunori Takenaga

In Ref.~\cite{Grozdanov:2024wgo}, we derived a spectral duality relation applicable to the spectra of 3$d$ conformal field theories (CFTs) and their holographically dual 4$d$ black holes. In this work, we further elaborate on the properties…

High Energy Physics - Theory · Physics 2025-10-08 Sašo Grozdanov , Mile Vrbica

Earlier, two of us and M. Unsal [arXiv:1112.6389] showed that some 4d gauge theories, compactified on a small spatial circle of size L and considered at temperatures 1/beta near deconfinement, are dual to 2d "affine" XY-spin models. We use…

High Energy Physics - Theory · Physics 2015-06-12 Mohamed M. Anber , Scott Collier , Erich Poppitz

We study the process of relaxation back to thermal equilibrium in $(1+1)$-dimensional conformal field theory at finite temperature. When the size of the system is much larger than the inverse temperature, perturbations decay exponentially…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Ivo Sachs , Sergey N. Solodukhin

We use AdS/CFT duality to study the thermodynamics of a strongly coupled N=2 supersymmetric large Nc SU(Nc) gauge theory with Nf =2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential mu, a potential on the…

High Energy Physics - Theory · Physics 2009-11-11 Riccardo Apreda , Johanna Erdmenger , Nick Evans , Zachary Guralnik

We introduce a duality between two-dimensional XY-spin models with symmetry-breaking perturbations and certain four-dimensional SU(2)and SU(2)/Z_2 gauge theories, compactified on a small spatial circle R^(1,2) x S^1, and considered at…

High Energy Physics - Theory · Physics 2012-04-17 Mohamed M. Anber , Erich Poppitz , Mithat Unsal

I conjecture a high-temperature/low-temperature duality for conformal field theories defined on circle fibrations like $S^3$ and its lens space family. The duality is an exchange between the thermal circle and the fiber circle in the limit…

High Energy Physics - Theory · Physics 2017-12-12 Edgar Shaghoulian
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