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Article
Physics, Particles & Fields
Atanu Bhatta et al.
Summary: In this study, we compute the exact retarded Green's functions in thermal CFTs with chemical potential and angular momenta using holography. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating black holes in AdS spacetime and map them to the Heun equations by appropriate changes of variables. The AGT correspondence allows us to find the connection formulae among the solutions of the Heun equations near different singularities by using the crossing relations of the five-point correlators in the Liouville CFT. The connection formulae associated with the boundary conditions imposed on the bulk field equations yield the exact thermal correlators in the boundary CFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Kuo-Wei Huang et al.
Summary: Averaged Null Energy Conditions (ANECs) hold in unitary quantum field theories. In conformal field theories, ANECs in states created by the application of the stress tensor to the vacuum lead to three constraints on the stress-tensor three-point couplings, depending on the choice of polarization. The same constraints can be derived from considering two-point functions of the stress tensor in a thermal state and focusing on the contribution of the stress tensor in the operator product expansion (OPE). In holographic Gauss-Bonnet gravity, ANEC saturation coincides with superluminal signal propagation in thermal states.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
David Berenstein et al.
Summary: We study the Feynman propagator of free scalar fields in AdS(3) with a conical defect. We construct the propagator by solving the bulk equation of motion in the defect geometry, summing over the modes of the field, and passing to the boundary. We interpret the field modes as double-twist primary states formed by excitations of the scalar on top of the defect, and we check that the correlator is crossing-symmetric by matching its singular behavior to that of the semiclassical Virasoro vacuum block.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Borut Bajc et al.
Summary: Using the AdS/CFT correspondence, we modeled the behavior of the two-point correlator of an operator with arbitrary scale dimension increment in arbitrary spacetime dimension d for small but non-zero temperature. In the low temperature regime, the obtained propagator coincides with the known result for d=4 at the T-d order and with the T-d and T-2d terms of the exact all order result for d=2. Furthermore, we explicitly write down the expression for the T-d order of the propagator for arbitrary increment in arbitrary d and present a conjecture for the T-2d order in the large increment limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Multidisciplinary
Matthew Dodelson et al.
Summary: We present an exact formula for the thermal scalar two-point function in fourdimensional holographic conformal field theories. The result is obtained by analyzing the wave equation on the AdS-Schwarzschild background and computing the connection coefficients of the Heun equation. The formula can be expressed in terms of the Nekrasov-Shatashvili partition function of an SU(2) supersymmetric gauge theory and can be evaluated numerically by truncating the number of instantons in the partition function.
Article
Astronomy & Astrophysics
Enrico Parisini et al.
Summary: We generalize the embedding space formalism to conformal field theories (CFTs) on nontrivial states and curved backgrounds using the ambient metric of Fefferman and Graham. The construction of CFT n-point functions in these settings is based on appropriate geometric invariants of the ambient space. Exact agreement with holographic computations and expectations from thermal operator product expansions (OPEs) is found for two-point functions of thermal CFT, and the method is also applied to CFTs on squashed spheres with no prior results available, demonstrating its utility.
Article
Physics, Particles & Fields
Gregory P. Korchemsky et al.
Summary: We analyze the commutation relations of light-ray operators in conformal field theories. We first establish the algebra of light-ray operators built out of higher spin currents in free CFTs and find explicit expressions for the corresponding structure constants. The resulting algebras are remarkably similar to the generalized Zamolodchikov's W-infinity algebra in a two-dimensional conformal field theory. We then compute the commutator of generalized energy flow operators in a generic, interacting CFTs in d > 2. We show that it receives contribution from the energy flow operator itself, as well as from the light-ray operators built out of scalar primary operators of dimension increment Delta <= d - 2, that are present in the OPE of two stress-energy tensors. Commutators of light-ray operators considered in the present paper lead to CFT sum rules which generalize the superconvergence relations and naturally connect to the dispersive sum rules, both of which have been studied recently.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Matthew Dodelson et al.
Summary: In this paper, we explore the implications of stable gravitational orbits around an AdS black hole for the boundary conformal field theory. The orbits are long-lived states that eventually decay due to gravitational radiation and tunneling. They appear as narrow resonances in the heavy-light OPE and as quasi-normal modes in the thermal two-point function. The connection between orbits, quasi-normal modes, and double-twist operators is investigated in detail, and the anomalous dimension of double-twist operators is computed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Robin Karlsson et al.
Summary: This research investigates the role of Catalan numbers in the Virasoro heavy-heavy-light-light (HHLL) vacuum blocks and HHLL W-N vacuum blocks in two spacetime dimensions. It reveals that these numbers play a crucial role in the generating function equation and the correlation of stress tensor in the latter case.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Davide Bufalini et al.
Summary: This study reveals that light probes interacting with heavy bound states like black holes can generate observables containing valuable dynamical information. Recently, it has been shown that a particular class of black hole microstates possesses an exact string worldsheet description, and the first match between the worldsheet correlators in these microstates and the holographically dual conformal field theory has been obtained. The authors conjecture a closed formula for correlators with an arbitrary number of light insertions and compute the analogy of the Hawking radiation rate for these microstates.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Robin Karlsson et al.
Summary: This article studies the OPE expansion of the two-point functions of the stress tensor and double-stress tensors, which are important light degrees of freedom in strongly coupled conformal field theories with a large central charge, in thermal and heavy states. The results are compared to the holographic finite temperature two-point functions to extract conformal data beyond the leading order in the large central charge expansion. Specifically, corrections to the OPE coefficients determining the near-lightcone behavior of the correlators are computed, as well as the anomalous dimensions of the double-stress tensor operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Kuo-Wei Huang
Summary: By studying d = 4 conformal field theories with a pure Einstein gravity dual, we have discovered interesting results about algebraic structures. Under certain conditions, a rescaled mode operator satisfies a Virasoro algebra, and the structure is enhanced to a Kac-Moody algebra when additional components are incorporated.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
Massimo Bianchi et al.
Summary: This article explores the symmetry of conformal inversions between extremal Reissner-Nordstrom black holes, D3-branes, and their intersecting bound states in lower dimensions. The study identifies a relationship between the scattering angle and inspiralling angle of a probe in different scenarios, as well as the consistency of radial actions and Shapiro time delays. The article also discusses the application of conformal inversions to other black holes and branes, and explores the fate of symmetry at the quantum level and in nonspherically symmetric cases.
Article
Astronomy & Astrophysics
Simon Caron-Huot et al.
Summary: We demonstrate that in relativistic field theories, the thermal correlation function of N bosonic operators exhibits exponentially weak dependence on the time variables when the space separations are held constant. Moreover, in classical thermal field theory, the time dependence disappears when all points are spacelike separated.
Article
Astronomy & Astrophysics
David Berenstein et al.
Summary: We studied stable circular orbits in spherically symmetric AdS black holes in various dimensions and provided analytic expressions for their size, angular velocity, and angular momentum in a large black hole mass regime. The dual interpretation is related to meta-stable states that do not thermalize at typical thermal scales, due to non-perturbative effects on spatial curvature. The placement of particles on these orbits is explained through tunneling inside, computed from complex geodesics in the black hole background and the WKB approximation of the wave equation.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Physics, Multidisciplinary
Andrei Parnachev
Summary: Under certain conditions, the properties of HHLL correlators in CFTs can be described by a double scaling limit, where the stress tensor sector receives contributions from multiple stress tensor operators, and the value of the correlator is related to the length of spacelike geodesics.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
David M. Ramirez
Summary: Recent research has revealed an intriguing relationship between quantum chaos and energy density correlations, known as pole skipping, in two-dimensional conformal field theories. The location of pole skipping in the complex frequency plane is determined by the central charge and the stress energy one-point function. A bound on the parameter lambda has been found in compact, unitary CFT(2)s, equivalent to the chaos bound, and is saturated in large c CFT(2)s with a sparse light spectrum.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
D. Rodriguez-Gomez et al.
Summary: Studying 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography provides insights into universal formulas for holographic free energy. By including alpha ' corrections, leading corrections at strong coupling can be reproduced. 3-point functions exhibit intricate structures and interesting properties, including a factorization property when dimensions satisfy specific conditions, suggesting that factorization in d > 2 is a reflection of the semiclassical regime.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Hare Krishna et al.
Summary: In this study, 2-point correlation functions for scalar operators in position space are examined using holography, with a focus on operators with large conformal dimensions. The geodesic approximation is utilized for propagators. In addition to the main contribution, a correction involving bulk cubic couplings and higher curvature couplings is identified, which provides insight into the interior of a black hole.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Andrei Parnachev et al.
Summary: This study focuses on the eikonal phase associated with gravitational scattering in AdS spacetime between a highly energetic light particle and a heavy object. By using the WKB approximation and considering all orders in the impact parameter to the Schwarzschild radius ratio, the eikonal phase is computed. The research also explores the double scaling limit where both momentum and the AdS black hole become very large simultaneously.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Alexandre Belin et al.
Summary: The study focuses on correlation functions involving generalized ANEC operators and extracting the algebra of these light-ray operators. A global subalgebra spanned by specific n values exists in conformal theories, while operators outside this range give rise to an infinite central term.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Luis F. Alday et al.
Summary: In this paper, weakly-coupled QFT in AdS at finite temperature is considered, and the holographic thermal two-point function of scalar operators in the boundary theory is computed. Analytic expressions for leading corrections due to local quartic interactions in the bulk are presented, with an arbitrary number of derivatives and for any number of spacetime dimensions. The solutions are fixed by judiciously picking an ansatz and imposing consistency conditions, and a simple dispersion relation for thermal two-point functions is derived, reconstructing the function from its discontinuity.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Julius Engelsoy et al.
Summary: In this study, mixed correlators in thermal CFT are used to investigate the strong gravity effects in their holographic duals. Enhanced mixing is found at high temperatures, corresponding to large AdS black holes, while large O(1/G(N)) tidal conversion is observed in the low temperature phase of the U(N) vector model, suggesting the presence of extremely compact objects in the bulk dual of this phase.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
D. Rodriguez-Gomez et al.
Summary: The thermal 2-point correlation functions in the black brane AdS(5) background dual to 4d CFT's at finite temperature for operators of large scaling dimension were computed. A formula matching the expected structure of the OPE was found, showing an exponentiation property whose origin was explained. Additionally, the first correction to the two-point function due to graviton emission, encoding the proper time from the event horizon to the black hole singularity, was computed.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Saso Grozdanov et al.
Summary: Using holographic methods, the radii of convergence of the hydrodynamic shear and sound dispersion relations in the N = 4 supersymmetric Yang-Mills theory were calculated at infinite coupling, showing an unexpected growth with increasing inverse coupling. Non-perturbative resummation analysis revealed a piecewise continuous dependence on coupling and a subsequent decrease in convergence radii. The study also explored this phenomenon in Einstein-Gauss-Bonnet gravity, demonstrating a similar decrease in convergence radii with effective inverse coupling.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Nejc Ceplak et al.
Summary: The paper examines the Regge limit of holographic 4-point correlation functions in AdS(3) x S-3, studying the relation between the bulk phase shift and OPE data, and analyzes two specific cases as examples.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Robin Karlsson et al.
Summary: In d-dimensional CFTs with a large number of degrees of freedom, the thermalization of stress tensor and multi stress tensor operators is equivalent to a universal behavior of their OPE coefficients with a pair of identical heavy operators. In free CFTs, multi stress tensor operators thermalize while light operators do not.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Kuo-Wei Huang
Summary: In this study, the operator product expansion of stress tensors in conformal field theories with a bulk dual of Einstein gravity in d > 2 dimensions was investigated. An algebraic structure consistent with the Jacobi identity was obtained from the TT OPE in a certain null-like limit, with a dimensionless constant C proportional to the central charge. Transverse integrals play a crucial role in the definition of L-m, and a connection between near-lightcone stress-tensor conformal block in d > 2 dimensions and the d = 2W algebra was observed.
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Andrea Manenti
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(2020)
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Yue-Zhou Li
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(2020)
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Kuo-Wei Huang
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Stefano Giusto et al.
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