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Holographic Duals of Symmetry Broken Phases 对称破缺相的全息二重性
Pub Date : 2024-09-14 DOI: 10.1002/prop.202400172
Andrea Antinucci, Francesco Benini, Giovanni Rizi
A novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity is explored by proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal effective field theory (EFT) that describes spontaneous symmetry breaking on the boundary. The authors tested this conjecture in various dimensions and with many examples involving different continuous symmetry structures, including non‐Abelian and non‐invertible symmetries, as well as higher groups. For instance, many Abelian SymTFTs are found to be dual to free theories of Goldstone bosons or generalized Maxwell fields, while non‐Abelian SymTFTs relate to non‐linear sigma models with target spaces defined by the symmetry groups. The analysis is also extended to include the non‐invertible axial symmetry, which is shown to be dual to axion‐Maxwell theory, and a non‐Abelian 2‐group structure in four dimensions, deriving a new parity‐violating interaction that has implications for the low‐energy dynamics of QCD.
通过提出一种全息对偶性,探索了对称拓扑场论(SymTFT)作为引力理论的一种新解释,在这种对偶性中,体SymTFT(具有合适的拉格朗日代数的测量)与描述边界上自发对称破缺的普适有效场论(EFT)是对偶的。作者在不同维度上用许多例子检验了这一猜想,这些例子涉及不同的连续对称结构,包括非阿贝尔对称和非可逆对称,以及高次群。例如,发现许多阿贝尔 SymTFT 与金石玻色子或广义麦克斯韦场的自由理论是对偶的,而非阿贝尔 SymTFT 则与目标空间由对称群定义的非线性西格玛模型有关。分析还扩展到包括不可逆轴对称,证明它与轴子-麦克斯韦理论是对偶的,以及四维中的非阿贝尔 2 群结构,推导出一种新的违反奇偶性的相互作用,对 QCD 的低能动力学有影响。
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引用次数: 0
de Sitter State in Heterotic String Theory 异质弦理论中的德西特态
Pub Date : 2024-09-12 DOI: 10.1002/prop.202400163
Stephon Alexander, Keshav Dasgupta, Archana Maji, Pichai Ramadevi, Radu Tatar
Recent no‐go theorems have ruled out four‐dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well‐defined Wilsonian effective action and other related phenomena also appear to rule out such time‐dependent vacua with de Sitter isometries, even in the presence of quantum corrections. In this note, the authors argued that a four‐dimensional de Sitter space can still exist in heterotic string theory as a Glauber–Sudarshan state, i.e., as an excited state, over a supersymmetric Minkowski background, albeit within a finite temporal domain. Borel resummation and resurgence play a crucial role in constructing such a state in the Hilbert space of heterotic theory governed entirely by the IR degrees of freedom.
最近的 "不行 "定理排除了异质弦理论中的四维经典德西特虚空。另一方面,缺乏定义明确的威尔逊有效作用和其他相关现象似乎也排除了这种具有德西特等距的时变空域,即使存在量子修正。在这篇论文中,作者认为在异质弦理论中,四维德西特空间仍然可以作为超对称闵科夫斯基背景上的格劳伯-苏达山态(即激发态)存在,尽管是在有限时域内。在完全由红外自由度支配的异质弦理论的希尔伯特空间中构建这样一个态时,玻尔重和与回升起着至关重要的作用。
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引用次数: 0
Nonassociative Geometric and Quantum Information Flows and R‐Flux Deformations of Wormhole Solutions in String Gravity 弦引力中虫洞解决方案的非关联几何和量子信息流与 R 流变形
Pub Date : 2024-02-11 DOI: 10.1002/prop.202300212
Laurentiu Bubuianu, Douglas Singleton, S. Vacaru, E. V. Veliev
This article consists of an introduction to the theory of nonassociative geometric classical and quantum information flows defined by star products with R‐flux deformations in string gravity. Corresponding nonassociative generalizations of the concepts of classical Shannon entropy, quantum von Neumann entropy, Rényi entropy are formulated. The fundamental geometric and quantum information objects are computed following the Grigori Perelman statistical thermodynamic approach to Ricci flows and gravity theories generalized for phase spaces modeled as (co) tangent Lorentz bundles. Nonassociative parametric deformations and nonholonomic thermo‐geometric versions of statistical generating functions, their quantum analogues as density matrices are considered for deriving the entropy, energy and fluctuation functionals. This allows us to define and compute respective classical and quantum relative and conditional entropies, mutual information and nonassociative entanglement and thermodynamic information variables. The principles of nonassociative quantum geometric and information flow theory, QGIF, and study the basic properties of such quasi‐stationary models related to modified gravity theories are formulated. Applications are considered for nonassociative deformed and entangled couples of four‐dimensional (4‐d), wormholes (defined by respective spacetime and/or momentum type coordinates) and nonassociative QGIFs of 8‐d phase space generalized wormholes configurations. Finally, phase space black holes and wormholes being transversable for nonassociative qubits, quantum channels and entanglement witness are speculated; thought and laboratory experiments are discussed; and perspectives for quantum computer modeling and tests of nonassociative geometric flow and gravity theories are considered.
本文介绍了由弦引力中 R 流变形的星积定义的非关联几何经典和量子信息流理论。对经典香农熵、量子冯-诺伊曼熵和雷尼熵的概念进行了相应的非关联概括。按照格里高利-佩雷尔曼统计热力学方法,计算了里奇流和引力理论的基本几何和量子信息对象,并将相空间模型化为(共)切洛伦兹束。在推导熵、能量和波动函数时,考虑了统计生成函数的非关联参数变形和非整体热几何版本,以及它们作为密度矩阵的量子类似物。这样,我们就能定义和计算各自的经典和量子相对熵和条件熵、互信息和非关联纠缠以及热力学信息变量。我们提出了非关联量子几何和信息流理论(QGIF)的原理,并研究了与修正引力理论相关的此类准稳态模型的基本特性。研究还考虑了四维(4-d)虫洞(由各自的时空和/或动量类型坐标定义)的非关联变形和纠缠耦合以及 8-d 相空间广义虫洞配置的非关联 QGIFs 的应用。最后,推测了相空间黑洞和虫洞对非关联量子比特、量子通道和纠缠见证的可穿越性;讨论了思想和实验室实验;并考虑了量子计算机建模和非关联几何流和引力理论测试的前景。
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引用次数: 0
Viable and Stable Compact Stellar Structures in f(Q,T)$f(mathcal {Q},mathcal {T})$ Theory f(Q,T)$f(mathcal {Q},mathcal {T})$ 理论中可行且稳定的紧凑恒星结构
Pub Date : 2024-02-11 DOI: 10.1002/prop.202300221
M. Z. Gul, M. Sharif, Adeeba Arooj
The main objective of this paper is to investigate the impact of gravity on the geometry of anisotropic compact stellar objects, where is non‐metricity and is the trace of the energy‐momentum tensor. In this perspective, the physically viable non‐singular solutions to examine the configuration of static spherically symmetric structures is used. A specific model of this theory to examine various physical quantities in the interior of the proposed compact stars (CSs) is considered. These quantities include fluid parameters, anisotropy, energy constraints, equation of state parameters, mass, compactness, and redshift. The Tolman–Oppenheimer–Volkoff equation is used to examine the equilibrium state of stellar models, while the stability of the proposed CSs is investigated through sound speed and adiabatic index methods. It is found that the proposed CSs are viable and stable in the context of this theory.
本文的主要目的是研究引力对各向异性紧凑型恒星天体几何形状的影响。从这个角度出发,使用物理上可行的非奇异解来研究静态球对称结构的构型。该理论的一个特定模型被用来研究拟紧凑星(CS)内部的各种物理量。这些量包括流体参数、各向异性、能量约束、状态方程参数、质量、紧密度和红移。利用托尔曼-奥本海默-沃尔科夫方程研究了恒星模型的平衡态,同时通过声速和绝热指数方法研究了拟紧凑星的稳定性。研究发现,所提出的 CS 在该理论背景下是可行和稳定的。
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引用次数: 0
Supertranslations and Holography near the Horizon of Schwarzschild Black Holes 史瓦西黑洞视界附近的超平移和全息
Pub Date : 2017-11-13 DOI: 10.1002/prop.201800001
D. Lüst
In this paper we review and discuss several aspects of supertranslations and their associated algebras at the horizon of a Schwarzschild black hole. We will compare two different approaches on horizon supertranslations, which were recently considered in separate publications. Furthermore we describe a possible holographic description of a Schwarzschild black hole in terms of a large N boundary theory, which accommodates the Goldstone bosons of the horizon supertranslations.
本文回顾和讨论了史瓦西黑洞视界上的超平移及其相关代数的几个方面。我们将比较地平线超翻译的两种不同方法,这两种方法最近在不同的出版物中被考虑。此外,我们用大N边界理论描述了史瓦西黑洞的一种可能的全息描述,该理论可以容纳视界超平移的戈德斯通玻色子。
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引用次数: 5
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