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In this thesis, the AdS/CFT correspondence is used as a tool to explore novel AdS$_5$ Supergravity backgrounds (containing five-dimensional Anti-de Sitter spacetime) and their dual (four dimensional) Conformal Field Theory descriptions. In…

High Energy Physics - Theory · Physics 2025-10-15 Paul Merrikin

We study the fate of weakly coupled dual QED3 in the infrared, that is, a single two-component Dirac fermion coupled to an emergent U(1) gauge field, but without Chern-Simons term. This theory has recently been proposed as a dual…

Strongly Correlated Electrons · Physics 2016-11-10 Dietrich Roscher , Emilio Torres , Philipp Strack

We describe a correspondence between domain wall solutions of Einstein gravity with a single scalar field and self-interaction potential. The correspondence we call 'conformal scale factor inversion (CSFI)' is a map comprising the inversion…

High Energy Physics - Theory · Physics 2020-08-19 A. A. Lima , U. Camara da Silva , G. M. Sotkov

Thermal spectra of correlation functions in holographic 3d large-N conformal field theories (CFTs) correspond to quasinormal modes of classical gravity and other fields in asymptotically anti-de Sitter black hole spacetimes. Using general…

High Energy Physics - Theory · Physics 2024-12-09 Sašo Grozdanov , Mile Vrbica

We study a modification of the five-dimensional description of dynamical electro-weak symmetry breaking inspired by the AdS/CFT correspondence. Conformal symmetry is broken in the low-energy region near the IR brane by a power-law departure…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marco Fabbrichesi , Maurizio Piai , Luca Vecchi

We compute the phase shift of a highly energetic particle traveling in the background of an asymptotically AdS black hole. In the dual CFT, the phase shift is related to a four point function in the Regge limit. The black hole mass is…

High Energy Physics - Theory · Physics 2019-06-12 Manuela Kulaxizi , Gim Seng Ng , Andrei Parnachev

The present thesis is devoted towards the study of various aspects of the phase transition phenomena occurring in black holes defined in an Anti-de-Sitter (AdS) space. Based on the fundamental principles of thermodynamics and considering a…

General Relativity and Quantum Cosmology · Physics 2014-03-19 Dibakar Roychowdhury

We reexamine the thermodynamics of adS black holes with Ricci flat horizons using the adS soliton as the thermal background. We find that there is a phase transition which is dependent not only on the temperature, but also on the black hole…

High Energy Physics - Theory · Physics 2011-07-18 Sumati Surya , Kristin Schleich , Donald M. Witt

Conformal field theories (CFTs) feature prominently in high-energy physics, statistical mechanics, and condensed matter. For example, CFTs govern emergent universal properties of systems tuned to quantum phase transitions, including their…

We explore the possibility that a confining first-order phase transition of a nearly-conformal dark sector generates the reported NANOGrav signal of a stochastic gravitational wave background. The visible Standard Model (SM) sector and the…

High Energy Physics - Phenomenology · Physics 2023-07-11 Kohei Fujikura , Sudhakantha Girmohanta , Yuichiro Nakai , Motoo Suzuki

Recently introduced ''fuzzy sphere'' method has enabled accurate numerical regularizations of certain three-dimensional (3D) conformal field theories (CFTs). The regularization is provided by the non-commutative geometry of the lowest…

Statistical Mechanics · Physics 2025-07-25 Cristian Voinea , Ruihua Fan , Nicolas Regnault , Zlatko Papić

We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti-de Sitter space with a strongly coupled large $N$ conformal field theory living on the wall. The AdS/CFT correspondence allows a fully quantum mechanical…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , T. Hertog , H. S. Reall

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

We consider a CFT defined on a static metric that is the product of time with a smooth closed space of positive scalar curvature. We expect the theory to exhibit an energy gap and our aim is to investigate how that gap depends on the…

High Energy Physics - Theory · Physics 2016-01-27 Andrew Hickling , Toby Wiseman

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

Numerical studies of phase transitions in statistical and quantum lattice models provide crucial insights into the corresponding Conformal Field Theories (CFTs). In higher dimensions, comparing finite-volume numerical results to…

Statistical Mechanics · Physics 2026-01-28 Andreas M. Läuchli , Loïc Herviou , Patrick H. Wilhelm , Slava Rychkov

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

We propose a diagnostic tool for detecting non-trivial symmetry protected topological (SPT) phases protected by a symmetry group $G$ in 2+1 dimensions. Our method is based on directly studying the 1+1-dimensional anomalous edge conformal…

Strongly Correlated Electrons · Physics 2017-09-13 Bo Han , Apoorv Tiwari , Chang-Tse Hsieh , Shinsei Ryu

It is conventional to study the entanglement between spatial regions of a quantum field theory. However, in some systems entanglement can be dominated by "internal", possibly gauged, degrees of freedom that are not spatially organized, and…

High Energy Physics - Theory · Physics 2015-06-22 Vijay Balasubramanian , Borun D. Chowdhury , Bartlomiej Czech , Jan de Boer

We present a comprehensive study of the thermodynamic phase structure for Anti-de Sitter black holes in Einstein-Maxwell-power-Yang-Mills gravity, reformulated through holographic duality as an ensemble problem in the dual conformal field…

High Energy Physics - Theory · Physics 2026-02-26 Mohammad Reza Alipour , Mohammad Ali S. Afshar , Saeed Noori Gashti , Behnam Pourhassan