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A New Holographic Entropy Bound from conformal field theory at the Killing Horizon

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Chinese Physics Letters 2002年第1期19卷 20-22页

作者： Jing Ji-Liang Institute of Physics and Physics Department Hunan Normal University Changsha 410081

A new holographic entropy bound is obtained by using conformal field theory at the Killing horizon. The entropy bound is tighter thanthe well-known bounds, such as the Bekenstein, Bekenstein-Mayo and \'tHooft bounds. The result shows that the entropy of a system decreases when quantum effects are included. Therefore, the quantumeffect will increase the degree of order of the system.

关键词： Holographic Entropy conformal field theory Killing Horizon

Convergence in conformal field theory

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Chinese Annals of Mathematics,Series B 2022年第6期43卷 1101-1124页

作者： Yi-Zhi HUANG Department of Mathematics Rutgers UniversityPiscatawayNJ 08854USA

Convergence and analytic extension are of fundamental importance in the mathematical construction and study of conformal field *** author reviews some main convergence results,conjectures and problems in the construction and study of conformal field theories using the representation theory of vertex operator *** also reviews the related analytic extension results,conjectures and *** discusses the convergence and analytic extensions of products of intertwining operators(chiral conformal fields)and of q-traces and pseudo-q-traces of products of intertwining *** also discusses the convergence results related to the sewing operation and the determinant line bundle and a higher-genus convergence *** then explains conjectures and problems on the convergence and analytic extensions in orbifold conformal field theory and in the cohomology theory of vertex operator algebras.

关键词： conformal field theory Vertex operator algebras Representation theory Convergence Analytic extension

On gl■k2Current Superalgebra and Twisted conformal field theory

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Communications in Theoretical Physics 2007年第1期 69-77页

作者： DING Xiang-Mao~1 WANG Gui-Dong~(1,2) WANG Shi-Kun~(1,3)1 Institute of Applied Mathematics,Academy of Mathematics and Systems Science,the Chinese Academy of Sciences,P.O.Box 2734,Beijing 100080,China2 Graduate School of the Chinese Academy of Scisences,Beijing 100049,China3 KLMM,AMSS,CAS,Beijing 100080,China

Motivated by the recently discovered hidden symmetry of the type IIB Green-Schwarz superstring oncertain background,the non-semisimple Kac-Moody twisted superalgebra glis investigated by means of thevector coherent state method and boson-fermion *** free field realization of the twisted current superalgebraat general level k is *** corresponding conformal field theory (CFT) has zero central *** the classification theory,this CFT is a nonunitary field theory. After projecting out a U(1) factor and an outerautomorphism operator,we get the free field representation of psl,which is the algebra of glmodulothe Z-outer automorphism,the CFT has central charge -2.

关键词： superalgebra differential operator realization free field realization conformal field theory

Weak gravity conjecture from conformal field theory:a challenge from hyperscaling violating and Kerr-Newman-AdS black holes

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Chinese Physics C 2023年第1期47卷 225-233页

作者： Jafar Sadeghi Mehdi Shokri Mohammad Reza Alipour Saeed Noori Gashti Department of Physics University of MazandaranP.0.Box 47416-95447BabolsarIran School of Physics Damghan UniversityP.0.Box ***DamghanIran Department of Physics University of TehranNorth Karegar Ave.Tehran 14395-547ran Canadian Quantum Research Center 204-300232 Avenue Vernon British Columbia V1T 2L7Canada

We search for a possible relationship between weak gravity conjecture(WGC)and conformal field theory(CFT)in hyperscaling violating and Kerr-Newman-AdS black *** deal with the critical points of the black hole systems using the correlation function introduced in CFT and discuss WGC conditions using the imaginary part of the energy obtained from the critical points and their *** the assumptions z=1,d=1,andθ→0-,we link WGC to hyperscaling violating black holes owing to the existence of rHvalues larger and smaller than *** the second black hole system,we study the conditions of WGC for Kerr-Newman-AdS black holes using rotation and radius ***,we show that the conditions of WGC are satisfied when the charged particle near the hyperscaling violating and Kerr-Newman black holes is 1/a with a ratio a/l《1.

关键词： weak gravity conjecture Kerr-Newman-AdS black holes hyperscaling violating black holes conformal field theory

Finite dimensional irreducible representations of Lie superalgebra D(2,1;α)

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Communications in Theoretical Physics 2024年第2期76卷 14-28页

作者：陈曦杨文力丁祥茂张耀中 College of Intelligent Systems Science and Engineering Hubei Minzu University 445000China Institute of Modern Physics Northwest UniversityXian 710069China Institute of Applied Mathematics Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100080China School of Mathematics and Physics The University of QueenslandBrisbaneQLD 4072Australia

This paper focuses on the finite dimensional irreducible representations of Lie superalgebra D(2,1;α).We explicitly construct the finite dimensional representations of the superalgebra D(2,1;α)by using the shift operator and differential operator *** ordinary Lie algebra representation,there are typical and atypical representations for most ***,its typical and atypical representation conditions are also *** results are expected to be useful for the construction of primary fields of the corresponding current superalgebra of D(2,1;α).

关键词： superalgebra representations shift operator conformal field theory

Note on higher-point correlation functions of the TT or JT deformed CFTs

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Science China(Physics,Mechanics & Astronomy) 2021年第9期64卷 15-28页

作者： Song He Center for Theoretical Physics College of PhysicsJilin UniversityChangchun 130012China Max Planck Institute for Gravitational Physics(Albert Einstein Institute) Am M¨uhlenberg 1Golm 14476Germany

We investigate generic n-point correlation functions of conformal field theories(CFTs),with TT and JT deformations,in terms of the perturbative CFT *** systematically obtain the first order correction to the generic correlation functions of CFTs with TT or JT *** compute the out of time ordered correlation function(OTOC)in the Ising model with TT or Jdeformation,which confirms that these deformations do not change the integrable property up to the first order level.

关键词： integrable deformation conformal field theory quantum chaos quantum integrability quantum entanglement

Introduction to holographic superconductor models

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Science China(Physics,Mechanics & Astronomy) 2015年第6期58卷 1-46页

作者： CAI RongGen LI Li LI LiFang YANG RunQiu State Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of Sciences Crete Center for Theoretical Physics Department of PhysicsUniversity of Crete State Key Laboratory of Space Weather Center for Space Science and Applied ResearchChinese Academy of Sciences

In the last years it has been shown that some properties of strongly coupled superconductors can be potentially described by classical general relativity living in one higher dimension,which is known as holographic *** paper gives a quick and introductory overview of some holographic superconductor models with s-wave,p-wave and d-wave orders in the literature from point of view of bottom-up,and summarizes some basic properties of these holographic models in various *** competition and coexistence of these superconductivity orders are also studied in these superconductor models.

关键词： holographic duality superconductivity classical theories of gravity conformal field theory

A pedagogical review on solvable irrelevant deformations of 2D quantum field theory

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Communications in Theoretical Physics 2021年第5期73卷 118-156页

作者： Yunfeng Jiang CERN theory Department GenevaSwitzerland

This is a pedagogical review on TT^(-)deformation of two dimensional quantum field *** is based on three lectures which the author gave at ITP-CAS in December *** review consists of four *** first part is a general introduction to TT^(-)*** emphasises are put on the deformed classical Lagrangian and the exact solvability of the *** second part focuses on the torus partition sum of the TT^(-)/JT^(-)deformed conformal field theories and modular invariance/*** the third part,different perspectives of TT^(-)deformation are presented,including its relation to random geometry,2D topological gravity and *** summarize more recent developments until January 2021 in the last part.

关键词： irrelevant deformation integrability conformal field theory 2D gravity holographic duality

Note on non-vacuum conformal family contributions to Rényi entropy in two-dimensional CFT

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Chinese Physics C 2017年第6期41卷 46-55页

作者：张甲举 Dipartimento di Fisica Universita degli Studi di Milano-Bicocca Piazza della Scienza 3 1-20126 Milano Italy

We calculate the contributions of a general non-vacuum conformal family to R′enyi entropy in twodimensional conformal field theory（CFT）. The primary operator of the conformal family can be either non-chiral or chiral, and we denote its scaling dimension by ？. For the case of two short intervals on a complex plane, we expand the R′enyi mutual information by the cross ratio x to order x^（2△＋2）. For the case of one interval on a torus with low temperature, we expand the R′enyi entropy by q = exp（-2πβ/L）, with β being the inverse temperature and L being the spatial period, to order q^（△＋2）. To make the result meaningful, we require that the scaling dimension ？ cannot be too small. For two intervals on a complex plane we need △ 〉 1, and for one interval on a torus we need △ 〉 *** work in the small Newton constant limit on the gravity side and so a large central charge limit on the CFT side,and find matches of gravity and CFT results.

关键词： Renyi entropy entanglement entropy conformal field theory