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We introduce a novel algebraic structure called di-skew brace by which we show that generalized digroups systematically yield bijective, non-degenerate solutions to the set-theoretic Yang-Baxter equation. We study the structural properties…

Quantum Algebra · Mathematics 2026-01-08 Andrea Albano , Paola Stefanelli

Recently it has been speculated that a set of diffeomorphisms exist which act non-trivially on the horizon of some black holes such as Kerr and Kerr-Newman black hole. %\cite{Haco:2018ske,Haco:2019ggi}. Using this symmetry in covariant…

High Energy Physics - Theory · Physics 2023-01-09 M. R. Setare , A. Jalali

We explore the thermodynamics and geothermodynamics of black holes with Barrow entropy in a brane-world scenario, where the horizon geometry of the black hole is regarded as a fractal structure. Our analysis reveals the behavior of heat…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Usman Zafar , Abdul Jawad , Kazuharu Bamba , Mohammad Ali S. Afshar , Mohammad Reza Alipour , Saeed Noori Gashti , Jafar Sadeghi

We construct a black hole geometry dual to a (2+1)-dimensional defect in an ambient (3+1)-dimensional gauge theory at non-zero temperature and quark density. The geometry is a solution to the equations of motion of type IIB supergravity…

High Energy Physics - Theory · Physics 2022-10-26 Ana Garbayo , Carlos Hoyos , Niko Jokela , José Manuel Penín , Alfonso V. Ramallo

We present a $D$-dimensional Bardeen like Anti-de Sitter (AdS) black hole solution in Einstein-Gauss-Bonnet (EGB) gravity, \textit{viz}., Bardeen-EGB-AdS black holes. The Bardeen-EGB-AdS black hole has an additional parameter due to charge…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Arun Kumar , Dharm Veer Singh , Sushant G. Ghosh

It has been argued that the existence of a geodesic shortcut in the Karch-Randall (KR) braneworld rules out the possibility for a low-energy intermediate theory, even when gravity is turned off. We study this problem in an explicit example…

High Energy Physics - Theory · Physics 2025-06-10 Hao Geng , Lisa Randall

The holographic entanglement entropy of an infinite strip subsystem on the asymptotic AdS boundary is used as a probe to study the thermodynamic instabilities of planar R-charged black holes (or their dual field theories). We focus on the…

High Energy Physics - Theory · Physics 2014-09-24 Xing Wu

Classical Yang-Baxter equation governing bi-vector deformations of 10d supergravity is known to have no solutions along non-abelian compact isometries. By providing explicit examples we show that this is in contrast to generalized…

High Energy Physics - Theory · Physics 2023-05-31 Edvard T. Musaev , Timophey Petrov

We investigate a holographic description of k-strings in higher representations via D5 branes with worldvolume fluxes. The D-brane configurations are embedded in supergravity backgrounds dual to confining field theories in 3 and 4…

High Energy Physics - Theory · Physics 2013-06-12 B. Button , S. J. Lee , L. A. Pando Zayas , V. Rodgers , K. Stiffler

Black holes are a powerful setting for studying general relativity and theories beyond GR. However, analytical solutions for rotating black holes in beyond-GR theories are difficult to find because of the complexity of such theories. In…

General Relativity and Quantum Cosmology · Physics 2018-04-12 Baoyi Chen , Leo C. Stein

In the low-energy limit, the near region of a generic Kerr black hole has been conjectured to be holographically dual to a two-dimensional conformal field theory. In this paper, we consider a test object orbiting in the near region of a…

High Energy Physics - Theory · Physics 2024-11-07 Jun Nian , Weijie Tian

We provide a simple method for writing the Dirac-Born-Infeld (DBI) equations of a Dp-brane in an arbitrary static background whose metric depends only on the holographic radial coordinate z. Using this method we revisit the Karch-O'Bannon's…

High Energy Physics - Theory · Physics 2013-05-29 Alfonso Ballon-Bayona , Cristine N. Ferreira , Victor J. Vasquez Otoya

We study the finite term of the holographic entanglement entropy for the charged black hole in AdS(d+2) and other examples of black holes when the spatial region in the boundary theory is given by one or two parallel strips. For one large…

High Energy Physics - Theory · Physics 2011-05-09 Erik Tonni

In the study of "holographic complexity", upper bounds on the rate of growth of the (specific) complexity of field theories with holographic duals have attracted much attention. Underlying these upper bounds there are inequalities relating…

High Energy Physics - Theory · Physics 2019-05-03 Brett McInnes

We consider involutive, non-degenerate, finite set theoretic solutions of the Yang-Baxter equation. Such solutions can be always obtained using certain algebraic structures that generalize nil potent rings called braces. Our main aim here…

Mathematical Physics · Physics 2021-09-23 Anastasia Doikou

We derive a general expression for obtaining Holographic subregion complexity for asymptotically $AdS$ spacetimes, pertubatively around pure $AdS$ using a variational technique. An essential step in finding subregion complexity is to…

High Energy Physics - Theory · Physics 2019-07-30 Avirup Ghosh , Rohit Mishra

The holographic entanglement entropy (HEE) of the minimal geometrical deformation (MGD) procedure and extensions (EMGD), is scrutinized within the membrane paradigm of AdS/CFT. The HEE corrections of the Schwarzschild and…

High Energy Physics - Theory · Physics 2020-01-01 R. da Rocha , Anderson A. Tomaz

This paper investigates Rota-Baxter systems in the sense of Brzezi\'nski from the perspective of operad theory. The minimal model of the Rota-Baxter system operad is constructed, equivalently a concrete construction of its Koszul dual…

Rings and Algebras · Mathematics 2025-03-04 Yufei Qin , Kai Wang , Guodong Zhou

Extension of the braid relations to the multiple braided tensor product of algebras that can be used for quantization of nonultralocal models is presented. The Yang--Baxter--type consistency conditions as well as conditions for the…

High Energy Physics - Theory · Physics 2009-10-28 L. Hlavaty

We describe the dynamical evaporation of a black hole as the classical evolution in time of a black hole in an Anti-de Sitter braneworld. A bulk black hole whose horizon intersects the brane yields the classical bulk dual of a black hole…

High Energy Physics - Theory · Physics 2023-05-30 Roberto Emparan , Raimon Luna , Ryotaku Suzuki , Marija Tomašević , Benson Way