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This thesis explores thermal correlation functions in conformal field theories (CFTs) and their connection to black hole geometry within the AdS/CFT correspondence, using a near-boundary expansion as the main tool. Two themes are examined.…

High Energy Physics - Theory · Physics 2025-08-26 Samuel Valach

In these notes we describe recent progress in understanding finite size corrections to the black hole entropy. Much of the earlier work concerning quantum black holes has been in the limit of large charges when the area of the even horizon…

High Energy Physics - Theory · Physics 2012-08-24 Atish Dabholkar , Suresh Nampuri

We argue that there exists an infinite class of conformal field theories in diverse dimensions, having a universal ratio of the central charge c to the normalized entropy density c'. The universality class includes all conformal theories…

High Energy Physics - Theory · Physics 2008-11-26 Pavel Kovtun , Adam Ritz

New families of BPS black ring solutions with four electric and four dipole magnetic charges have recently been explicitly constructed and uplifted to M-theory. These solutions were found to belong to a CFT with central charge different…

High Energy Physics - Theory · Physics 2015-06-04 Orestis Vasilakis

We develop the effective worldvolume theory for the dynamics of black branes with charges of the kind that arise in many supergravities and low-energy limits of string theory. Using this theory, we construct numerous new rotating black…

High Energy Physics - Theory · Physics 2015-05-28 Roberto Emparan , Troels Harmark , Vasilis Niarchos , Niels A. Obers

We explore a general mechanism that allows (1+1)d CFTs to have interesting interface conformal manifolds even in the absence of any continuous internal symmetry or supersymmetry. This is made possible by the breaking of an enhanced…

High Energy Physics - Theory · Physics 2025-05-16 Andrea Antinucci , Christian Copetti , Giovanni Galati , Giovanni Rizi

Defects play a central role in many contexts, from condensed matter to quantum gravity. The situations in which the bulk theory is conformal and the defect inherits part of this symmetry -- the so-called defect conformal field theories…

High Energy Physics - Theory · Physics 2025-02-25 Luigi Castiglioni , Silvia Penati , Marcia Tenser , Diego Trancanelli

The Constraint Satisfaction Problem (CSP) and its counting counterpart appears under different guises in many areas of mathematics, computer science, and elsewhere. Its structural and algorithmic properties have demonstrated to play a…

Combinatorics · Mathematics 2020-07-15 Raimundo Briceño , Andrei Bulatov , Victor Dalmau , Benoit Larose

At low energy the near horizon geometry of nonextreme black holes in four dimensions exhibits an effective SL(2,R)_L x SL(2,R)_R symmetry. The parameters of the corresponding induced conformal field theory gives the correct expression for…

High Energy Physics - Theory · Physics 2007-05-23 Finn Larsen

String backgrounds are described as purely geometric objects related to moduli spaces of Riemann surfaces, in the spirit of Segal's definition of a conformal field theory. Relations with conformal field theory, topological field theory and…

High Energy Physics - Theory · Physics 2008-02-03 Alexander A. Voronov

We construct the first smooth, horizonless ``microstate geometries'' that have the same charges, dipole charges and angular momenta as a BPS black ring whose horizon is macroscopic. These solutions have exactly the same geometry as black…

High Energy Physics - Theory · Physics 2008-11-26 Iosif Bena , Chih-Wei Wang , Nicholas P. Warner

Considering cylindrical topology we present the static solution for a charged black hole in conformal gravity. We show that unlike the general relativistic case there are two different solutions, both including a factor that when set to…

General Relativity and Quantum Cosmology · Physics 2013-01-07 Jackson Levi Said , Joseph Sultana , Kristian Zarb Adami

We analyze in full-detail the geometric structure of the covariant phase space (CPS) of any local field theory defined over a space-time with boundary. To this end, we introduce a new frame: the "relative bicomplex framework". It is the…

Mathematical Physics · Physics 2021-03-18 Juan Margalef-Bentabol , Eduardo J. S. Villaseñor

A number of physical systems exhibit a particular form of asymptotic conformal invariance: within a particular range of distances, they are characterized by a long-range conformal interaction (inverse square potential), the absence of…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E. Camblong , Carlos R. Ordonez

Using the AdS/CFT correspondence we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole mass expansion of our formula reproduces exactly the…

High Energy Physics - Theory · Physics 2008-11-26 Mariano Cadoni

Black hole physics currently lacks a fully coherent understanding of the black hole mass (density), entropy, and interior (non-)singularity. These concepts are related to the black hole radius, area (of the horizon), and volume (within the…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Arno Keppens , Lester Kurvers

(Abridged) A solution is obtained for the interior structure of an uncharged rotating black hole that accretes a collisionless fluid. The solution is conformally stationary, axisymmetric, and conformally separable, possessing a conformal…

General Relativity and Quantum Cosmology · Physics 2012-01-16 Andrew J. S. Hamilton

Gapless quantum phases can become distinct when internal symmetries are enforced, in analogy with gapped symmetry-protected topological (SPT) phases. However, this distinction does not always lead to protected edge modes, raising the…

Strongly Correlated Electrons · Physics 2025-12-30 Saranesh Prembabu , Shu-Heng Shao , Ruben Verresen

We consider M-theory compactification on Calabi-Yau threefolds. The recently discovered connection between the BPS states of wrapped M2 branes and the topological string amplitudes on the threefold is used both as a tool to compute…

High Energy Physics - Theory · Physics 2008-11-26 Sheldon Katz , Albrecht Klemm , Cumrun Vafa

Mostly inspired by recent work by Katzarkov, Kontsevich, and Sheshmani, combined with previous work by Aganagic, Ooguri, Saulina and Vafa with regard to BPS black hole microstate counting in terms of topological field theory calculations,…

High Energy Physics - Theory · Physics 2025-09-16 Veronica Pasquarella
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