Semiclassical 3D gravity as an average of large-c CFTs

Chandra, Jeevan; Collier, Scott R.; Hartman, Thomas E.; Maloney, Alexander

doi:10.48550/arxiv.2203.06511

Cited by 11 publications

(23 citation statements)

References 107 publications

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“…In principle, we can compute Γ(Y ) to any order in the KS perturbation theory in powers of λ = e −S 0 . In the case that the spectral curve is the Airy curve y 2 − x = 0, the higher genus contributions vanish and the only non-zero contributions to Γ(Y ) come from the disk and cylinder amplitudes 11 . For the JT spectral curve, there are non-trivial corrections suppressed in powers of λ (for a single brane insertion these were computed in Ref.…”

Section: 33)mentioning

confidence: 99%

“…[52] using a heat kernel method for the super-Laplacian operator on the space of Hermitian supermatrices, analogous to Itzykson and Zuber's original proof [54] in the non-supersymmetric case. 11 One way to see this is to note that under the x-y symmetry the dual of the Airy spectral curve has no branch point, since dy(z) = dz. So the topological recursion of Ref.…”

Section: 33)mentioning

confidence: 99%

“…Second, the duality of any given theory to a particular reduction of fMT, a zero-dimensional flavor nonlinear σ-model (fNLSM), is a sufficient, and indeed necessary condition for it to lie in the universality class of ergodic quantum chaos [5]. For example, a wide range of ideas about the role of chaos in AdS/CFT, whether it be via random-matrix [6,7] or ETH-type correlations in the bulk [8] as well as their generalization to statistics of OPE coefficients in AdS 3 /CFT 2 [9][10][11], have been considered, and can be studied in the framework of the flavor σ−model [12,13].…”

Section: Introductionmentioning

confidence: 99%

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Quantum chaos in 2D gravity

Altland¹,

Boris²,

Sonner³

et al. 2022

Preprint

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We present a quantitative and fully non-perturbative description of the ergodic phase of quantum chaos in the setting of two-dimensional gravity. To this end we describe the doubly non-perturbative completion of semiclassical 2D gravity in terms of its associated universe field theory. The guiding principle of our analysis is a flavor-matrix theory (fMT) description of the ergodic phase of holographic gravity, which exhibits U(n|n) causal symmetry breaking and restoration. JT gravity and its 2D-gravity cousins alone do not realize an action principle with causal symmetry, however we demonstrate that their universe field theory, the Kodaira-Spencer (KS) theory of gravity, does. After directly deriving the fMT from brane-antibrane correlators in KS theory, we show that causal symmetry breaking and restoration can be understood geometrically in terms of different (topological) D-brane vacua. We interpret our results in terms of an open-closed string duality between holomorphic Chern-Simons theory and its closed-string equivalent, the KS theory of gravity. Emphasis will be put on relating these geometric principles to the characteristic spectral correlations of the quantum ergodic phase.

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Section: 33)mentioning

confidence: 99%

Section: 33)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum chaos in 2D gravity

Altland¹,

Boris²,

Sonner³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…. , D. Here K is the positive symmetric even integer matrix constructed above, so that the resulting Chern-Simons theory is bosonic and has vanishing chiral central 26 In the representation of footnote 24, R 0 , S 0 are easily determined. Set R 0 = V T R red 0 and S 0 = U −1T S red 0 .…”

Section: Multi-component Compact Scalarmentioning

confidence: 99%

“…Different approaches to understand the relationships between 3d gravity and averaging include[24][25][26] 2. In the case of JT gravity, it has recently been noticed[27] that a certain non-local deformation can resolve…”

mentioning

confidence: 99%

Factorization and Global Symmetries in Holography

Benini¹,

Copetti²,

Pietro³

2022

Preprint

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We consider toy models of holography arising from 3d Chern-Simons theory. In this context a duality to an ensemble average over 2d CFTs has been recently proposed. We put forward an alternative approach in which, rather than summing over bulk geometries, one gauges a one-form global symmetry of the bulk theory. This accomplishes two tasks: it ensures that the bulk theory has no global symmetries, as expected for a theory of quantum gravity, and it makes the partition function on spacetimes with boundaries coincide with that of a modular-invariant 2d CFT on the boundary. In particular, on wormhole geometries one finds a factorized answer for the partition function. In the case of non-Abelian Chern-Simons theories, the relevant one-form symmetry is non-invertible, and its "gauging" corresponds to the condensation of a Lagrangian anyon.the lack of factorization and lead to well-defined quantum mechanical systems with discrete spectrum.3 Besides, in both cases there usually are 0-form symmetries as well.gauging for non-invertible symmetries. In both cases, after gauging, the bulk Chern-Simons theory acquires the following pleasant properties:1) The theory becomes trivial in the bulk, in the sense that the Euclidean partition function on any (oriented) closed 3-manifold equals 1. After all, this is what we expect from a holographic theory: the degrees of freedom only live at the boundary.2) Given a (possibly disconnected) 2d boundary and a boundary condition, the Euclidean partition function on any 3-manifold with that boundary gives the same result (this follows from point 1). Chern-Simons theory is a generally-covariant theory [37,38], in the sense that its partition function on closed 3-manifolds does not depend on a choice of metric -but it does depend on the topology. After gauging, the theory becomes independent from the bulk topology as well.3) The partition function of the gravitational theory is defined as the one on an arbitrary 3-manifold with the given boundary conditions (not as a sum over all possible geometries, or some subset thereof), because of point 2). Factorization in the case of disconnected boundaries immediately follows.4) The partition function with boundary conditions equals the partition function of a single and well-defined boundary CFT. The details of such a CFT are encoded in the bulk gauge group and in the specific chosen gauging of the 1-form symmetry.5) What we described extends to correlation functions of the boundary theory, and hinges on the fact that all lines are transparent in the bulk (because of point 1).

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Black hole wavefunctions and microcanonical states

Chua,

Hartman

2024

J. High Energ. Phys.

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We consider the problem of defining a microcanonical thermofield double state at fixed energy and angular momentum from the gravitational path integral. A semiclassical approximation to this state is obtained by imposing a mixed boundary condition on an initial time surface. We analyze the corresponding boundary value problem and gravitational action. The overlap of this state with the canonical thermofield double state, which is interpreted as the Hartle-Hawking wavefunction of an eternal black hole in a mini-superspace approximation, is calculated semiclassically. The relevant saddlepoint is a higher-dimensional, rotating generalization of the wedge geometry that has been studied in two-dimensional gravity. Along the way we discuss a new corner term in the gravitational action that arises at a rotating horizon.

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Semiclassical 3D gravity as an average of large-c CFTs

Cited by 11 publications

References 107 publications

Quantum chaos in 2D gravity

Quantum chaos in 2D gravity

Factorization and Global Symmetries in Holography

Black hole wavefunctions and microcanonical states

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