Information Geometry of Strings on Plane Wave Background

Dimov, H.; Mladenov, Stefan; Rashkov, R. C.; Vetsov, T.

doi:10.1007/978-981-13-2179-5_15

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…This result in thermodynamic geometry is more robust than the method of heat capacities, because it relies on invariant geometric structures and does not refer to any ordering parameters. The method of thermodynamic information geometry is fruitful not only for standard thermodynamic systems [33,34], but also for black holes [35][36][37][38][39][40][41][42] and string theory [43][44][45][46].…”

Section: Heat Capacities and Local Thermodynamic Stabilitymentioning

confidence: 99%

On Thermodynamic Stability of Black Holes. Part I: Classical stability

Avramov¹,

Dimov²,

Radomirov³

et al. 2023

Preprint

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We revisit the thermodynamic stability of the standard black hole solutions by presenting the intrinsic necessary and sufficient conditions for stable global and local thermodynamic equilibrium. The criteria for such equilibria are quite generic and well-established in classical thermodynamics, but they have not been fully utilized in black hole physics. The global thermodynamic analysis is based on two equivalent criteria: the Hessian eigenvalue method in energy representation and the Sylvester criterion for positive definiteness of quadratic forms. The study of local thermodynamic stability is realized through the calculation of the admissible black hole heat capacities and their positiveness. The existence of critical points and phase transitions of the black hole is determined by the divergences of the corresponding heat capacities. This paper is the first in the line of intended works on thermodynamic stability of black holes in modified theories of gravity and holography.

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Section: Heat Capacities and Local Thermodynamic Stabilitymentioning

confidence: 99%

On Thermodynamic Stability of Black Holes. Part I: Classical stability

Avramov¹,

Dimov²,

Radomirov³

et al. 2023

Preprint

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“…As advocated in [30,31] and subsequent works, the CFT QFIM is dual to a volume of a codimension one time slice in AdS space, which on the other hand gives a measure of complexity of the system under consideration. Further fruitful applications of QFIM and its holographic dual metric include phenomena and models such as quantum information scrambling [32][33][34], quantum metrology [35], canonical energy-momentum tensor [36], quantum phase transitions [37,38], entanglement entropy [37,[39][40][41], bulk reconstruction [42,43], instantons [44] and many others (see for instance [45][46][47]). On the other hand, whenever it is possible to extrapolate QFIM to certain thermodynamic limits, one can use it to describe the distance between classically measurable statistical macrostates with various applications in condensed matter physics [48] and black hole physics (see for example [49][50][51][52][53]).…”

Section: Introductionmentioning

confidence: 99%

Holographic Fisher information metric in Schrödinger spacetime

et al. 2021

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In this paper we study the Fisher Information Metric on the space of the coupling constants on both sides of the duality between non-relativistic dipole field theories and string theory in Schrödinger spacetime. We consider the following setup. In the gauge theory side, one can deform a given conformal field theory by a proper scalar operator and compute the Quantum Information Metric via the two-point correlation function between two such operators. On the string side, the deformation corresponds to a scalar field probing the background. In the large N limit of the theory the probing can be done without backreaction on the original spacetime, thus one can construct a perturbative scheme for the calculation of the dual Holographic Fisher Information Metric as shown by [1]. In particular, we prove that the Holographic Information Metric reduces to its dual quantum counterpart on the boundary of the Schrödinger background, thus showing exact match between the two quantities on both sides of the correspondence.1 We will refer to t as the real time and τ = −it as the Wick-rotated time.

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