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An open question in AdS/CFT is how to reconstruct semiclassical bulk operators precisely enough that non-perturbative quantum effects can be computed. We propose a set of physically-motivated requirements for such a reconstruction map, and…

High Energy Physics - Theory · Physics 2025-12-23 Chris Akers , Andrew Lucas , Amit Vikram

For cosmological topologically massive gravity at the chiral point we calculate momentum space 2- and 3-point correlators of operators in the postulated dual CFT on the cylinder. These operators are sourced by the bulk and boundary…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Ivo Sachs

Random reshuffling with momentum (RRM) corresponds to the SGD optimizer with momentum option enabled, as found in many machine learning libraries like PyTorch and TensorFlow. Despite its widespread use, the convergence properties of RRM do…

Optimization and Control · Mathematics 2026-03-24 Junwen Qiu , Bohao Ma , Andre Milzarek

We give further evidence that the matrix-tensor model studied in \cite{belin2023} is dual to AdS$_{3}$ gravity including the sum over topologies. This provides a 3D version of the duality between JT gravity and an ensemble of random…

High Energy Physics - Theory · Physics 2025-06-16 Daniel L. Jafferis , Liza Rozenberg , Gabriel Wong

We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in $(2,0)$ supergravity on $AdS_3 \times S^3$, with two operators in tensor…

High Energy Physics - Theory · Physics 2021-08-04 Congkao Wen , Shun-Qing Zhang

This note aims to provide an entr\'ee to two developments in two-dimensional topological gravity -- that is, intersection theory on the moduli space of Riemann surfaces -- that have not yet become well-known among physicists. A little over…

High Energy Physics - Theory · Physics 2018-12-05 Robbert Dijkgraaf , Edward Witten

Recent tensor-network samplings of modified Nishimori spin glasses have revealed robust finite-temperature critical transitions in two dimensions, defying the standard Edwards-Anderson lower critical dimension boundary ($d_{l}\approx2.5$).…

Disordered Systems and Neural Networks · Physics 2026-04-14 Alok Yadav

Two dimensional Warped Conformal Field Theories (WCFTs) may represent the simplest examples of field theories without Lorentz invariance that can be described holographically. As such they constitute a natural window into holography in non…

High Energy Physics - Theory · Physics 2015-06-19 Diego M. Hofman , Blaise Rollier

A non-relativistic limit of the AdS/CFT correspondence is studied in the context of M2-branes. On the field theory side this corresponds to a near-BPS limit of ABJM that localises onto solutions of Hitchin's equations. It is shown that the…

High Energy Physics - Theory · Physics 2024-05-08 Neil Lambert , Joseph Smith

We analyze AdS and dS swampland conjectures in a three-dimensional higher spin theory with self-interacting matter, which contains conformal gravity and is almost topological. A theory of a similar type was proposed as the effective theory…

High Energy Physics - Theory · Physics 2022-01-20 Rafael Álvarez-García , Ralph Blumenhagen , Christian Kneissl , Andriana Makridou , Lorenz Schlechter

We revisit some properties of AdS$_2$ Einstein-Maxwell gravity with the aim of reconciling apparently conflicting results in prior literature. We show that the two dimensional theory can be obtained as a dimensional reduction of the three…

High Energy Physics - Theory · Physics 2014-11-10 Alejandra Castro , Wei Song

Random Hermitian matrices are used to model complex systems without time-reversal invariance. Adding an external source to the model can have the effect of shifting some of the matrix eigenvalues, which corresponds to shifting some of the…

Mathematical Physics · Physics 2015-05-20 Marco Bertola , Robert Buckingham , Seung-Yeop Lee , Virgil U. Pierce

We study several aspects of holographic entanglement in two models known as flat$_3$/BMSFT and (W)AdS$_3$/WCFT. These are two examples of holography beyond AdS/CFT where the the boundary field theories are not Lorentz invariant but still…

High Energy Physics - Theory · Physics 2020-09-10 Luis Apolo , Hongliang Jiang , Wei Song , Yuan Zhong

In this paper we consider two different nonlinear $\sigma$-models minimally coupled to Eddington-inspired Born-Infeld gravity. We show that the resultant geometries represent minimal modifications with respect to those found in GR, though…

High Energy Physics - Theory · Physics 2020-03-25 J. R. Nascimento , Gonzalo J. Olmo , P. J. Porfírio , A. Yu. Petrov , A. R. Soares

We provide necessary and sufficient conditions for a Conformal Field Theory to have a description in terms of a perturbative Effective Field Theory in AdS. The first two conditions are well-known: the existence of a perturbative `1/N'…

High Energy Physics - Theory · Physics 2015-06-11 A. Liam Fitzpatrick , Jared Kaplan

We show that two-dimensional (2D) AdS gravity induces on the spacetime boundary a conformally invariant dynamics that can be described in terms of a de Alfaro-Fubini-Furlan model coupled to an external source with conformal dimension two.…

High Energy Physics - Theory · Physics 2009-10-31 M. Cadoni , P. Carta , D. Klemm , S. Mignemi

Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in terms of `momentum twistors', as opposed…

High Energy Physics - Theory · Physics 2009-11-18 Lionel Mason , David Skinner

We conjecture that in a consistent supergravity theory with non-vanishing gravitino mass, the limit $m_{3/2}\rightarrow 0$ is at infinite distance. In particular one can write $M_{\mathrm{tower}} \sim m_{3/2}^\delta$ so that as the…

High Energy Physics - Theory · Physics 2021-09-15 Alberto Castellano , Anamaría Font , Alvaro Herraez , Luis E. Ibáñez

We consider two instances of boundary conditions for massless scalars on $AdS_2$ that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full $SL(2;\mathds{R})$ conformal…

High Energy Physics - Theory · Physics 2023-02-15 Anthonny F. Canazas Garay , Diego H. Correa , Alberto Faraggi , Guillermo A. Silva

Non-asymptotic theory of random matrices strives to investigate the spectral properties of random matrices, which are valid with high probability for matrices of a large fixed size. Results obtained in this framework find their applications…

Probability · Mathematics 2013-08-02 Mark Rudelson