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In this work we study a non-relativistic three dimensional Chern-Simons gravity theory based on an enlargement of the Extended Bargmann algebra. A finite non-relativistic Chern-Simons gravity action is obtained through the non-relativistic…

高能物理 - 理论 · 物理学 2019-07-19 Patrick Concha , Evelyn Rodríguez

Amit and Linial showed that a random lift of a graph with minimum degree $\delta\ge3$ is asymptotically almost surely $\delta$-connected, and mentioned the problem of estimating this probability as a function of the degree of the lift. We…

离散数学 · 计算机科学 2017-03-23 Shashwat Silas

Random matrix theory (RMT) is a powerful statistical tool to model spectral fluctuations. In addition, RMT provides efficient means to separate different scales in spectra. Recently RMT has found application in quantum chromodynamics (QCD).…

高能物理 - 格点 · 物理学 2015-06-25 M. E. Berbenni , T. Guhr , J. -Z. Ma , S. Meyer , T. Wilke

We study the spectrum of certain two-particle operators in the supergravity regime of the D1-D5 system, focussing on the four-point correlators of tensor multiplets on $AdS_3\times S^3$ at tree level. In Mellin space, these are nicely…

高能物理 - 理论 · 物理学 2022-01-25 Francesco Aprile , Michele Santagata

We consider Non-local Gravity in view to obtain stable and traversable wormhole solutions. In particular, the class of Non-local Integral Kernel Theories of Gravity, with the inverse d'Alembert operator in the gravitational action, is taken…

广义相对论与量子宇宙学 · 物理学 2022-11-28 Salvatore Capozziello , Nisha Godani

We examine the question of scale versus conformal invariance on maximally symmetric curved backgrounds and study general 2-derivative conformally invariant free theories of vectors and tensors. For spacetime dimension $D>4$, these conformal…

高能物理 - 理论 · 物理学 2024-08-15 Kara Farnsworth , Kurt Hinterbichler , Ondrej Hulik

We propose a generalization of the random matrix theory following the basic prescription of the recently suggested concept of superstatistics. Spectral characteristics of systems with mixed regular-chaotic dynamics are expressed as weighted…

统计力学 · 物理学 2007-05-23 A. Y. Abul-Magd

The Sine-Gordon theory at $\frac{\beta^{2}}{8\pi} = \frac{2}{(2n+3)},\; n= 1,2,3 \cdots $ has a higher spin generalization of the $N=2$ supersymmetry with the central terms which arises from the affine quantum group $U_{q}( \hat{s \ell}…

高能物理 - 理论 · 物理学 2016-09-06 H. Itoyama , T. Oota

Two-dimensional (2d) field theories invariant under the Bondi-Metzner-Sachs algebra, or 2d BMSFTs in short, are putative holographic duals of Einstein gravity in 3d asymptotically flat spacetimes. When defined on a torus, these field…

高能物理 - 理论 · 物理学 2023-07-04 Arjun Bagchi , Saikat Mondal , Sanchari Pal , Max Riegler

In this short note we collect together known results on the use of Random Matrix Theory in lattice statistical mechanics. The purpose here is two fold. Firstly the RMT analysis provides an intrinsic characterization of integrability, and…

统计力学 · 物理学 2007-05-23 J. -Ch. Angles d'Auriac , J. -M. Maillard

This review article provides an overview of random matrix theory (RMT) with a focus on its growing impact on the formulation and inference of statistical models and methodologies. Emphasizing applications within high-dimensional statistics,…

统计方法学 · 统计学 2024-12-11 Swapnaneel Bhattacharyya , Srijan Chattopadhyay , Sevantee Basu

We use ab initio electronic-structure methods to investigate random-matrix theory (RMT) universality in molecular electronic structure. Using single-reference electronic structure methods, including Hartree-Fock, configuration-interaction…

强关联电子 · 物理学 2026-02-26 Zhen Tao , Victor Galitski

AdS$_2$ plays an extremely important role in black-hole physics. We construct several infinite families of supergravity solutions that are asymptotically AdS$_2$ in the UV, and terminate in the IR with a cap that is singular in two…

高能物理 - 理论 · 物理学 2019-02-05 Iosif Bena , Pierre Heidmann , David Turton

The JLMS formula relates the bulk and boundary relative entropies and is fundamental to the holographic dictionary, providing justification for entanglement wedge reconstruction. We revisit the replica trick for relative entropy and find…

高能物理 - 理论 · 物理学 2022-09-07 Jonah Kudler-Flam , Pratik Rath

We discuss a random matrix model of systems with an approximate symmetry and present the spectral fluctuation statistics and eigenvector characteristics for the model. An acoustic resonator like, e.g., an aluminium plate may have an…

凝聚态物理 · 物理学 2007-05-23 A. Andersen , C. Ellegaard , A. D. Jackson , K. Schaadt

Starting from a topological gauge theory in two dimensions with symmetry groups $ISO(2,1)$, $SO(2,1)$ and $SO(1,2)$ we construct a model for gravity with non-trivial coupling to matter. We discuss the equations of motion which are connected…

高能物理 - 理论 · 物理学 2009-10-22 L. F. Cugliandolo , F. A. Schaposnik , H. Vucetich

The quantization of semiclassical strings in AdS spacetimes yields predictions for the strong-coupling behaviour of the scaling dimensions of the corresponding operators in the planar limit of the dual gauge theory. Finding non-planar…

高能物理 - 理论 · 物理学 2024-12-19 Simone Giombi , Stefan A. Kurlyand , Arkady A. Tseytlin

The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler…

高能物理 - 理论 · 物理学 2009-11-07 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido

In this article, new wormhole solutions in the framework of General Relativity are presented. Taking advantage of gravitational decoupling by means of minimal geometric deformation approach and, the so-called noncommutative geometry…

广义相对论与量子宇宙学 · 物理学 2023-06-02 Francisco Tello-Ortiz , B. Mishra , A. Alvarez , Ksh. Newton Singh

The formula existing in the literature for the ADM mass of 2D dilaton gravity is incomplete. For example, in the case of an infalling matter shockwave this formula fails to give a time-independent mass, unless a very special coordinate…

高能物理 - 理论 · 物理学 2009-10-22 A. Bilal , I. Kogan