A universe field theory for JT gravity

Post, Boris; van der Heijden, Jeremy; Verlinde, Erik

doi:10.48550/arxiv.2201.08859

Cited by 2 publications

(7 citation statements)

References 95 publications

(153 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…by using the identification x = −E. This function determines 'disk' density of states in JT as ρ(E) [18,22]. More generally, a different choice of spectral curve S leads to a duality between KS theory and other models of two-dimensional gravity, like topological gravity (the choice y ∼ √ x) or minimal string theory (y ∼ x p/2 + .…”

Section: The Universe Field Theory Of Jt Gravitymentioning

confidence: 99%

“…As explained in Ref. [22], it can be viewed as arising from a Φ-dependent coordinate transformation relating the complex structure at the origin and infinity. The 'closed string' coupling constant λ is interpreted in JT gravity as the genus expansion parameter λ = e −S 0 .…”

Section: The Universe Field Theory Of Jt Gravitymentioning

confidence: 99%

“…One can check this explicitly by using the Schwinger-Dyson equations of the KS theory (shown explicitly in Ref. [22]). As an example of how the dictionary works, we compute the JT path integral on a three-holed sphere from the tree level three-point function of KS.…”

Section: The Universe Field Theory Of Jt Gravitymentioning

confidence: 99%

“…The main framework is the 'universe field theory' of Ref. [22], which describes wormhole formation in the bulk beyond the perturbative expansion of the JT gravitational path integral. As explained above, we will refer to it by the acronym KS, because it is the reduction of Kodaira-Spencer theory of gravity [23] to the JT spectral curve.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Quantum chaos in 2D gravity

Altland¹,

Boris²,

Sonner³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: The Universe Field Theory Of Jt Gravitymentioning

confidence: 99%

Section: The Universe Field Theory Of Jt Gravitymentioning

confidence: 99%

Section: The Universe Field Theory Of Jt Gravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum chaos in 2D gravity

Altland¹,

Boris²,

Sonner³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…One idea is that they are themselves world sheet descriptions of strings that correspond to black holes in the manner of Horowitz and Polchinski[129], which would have been interesting 32. Perhaps the approach in the recently appeared ref [130]. might have some relevance to this question.…”

mentioning

confidence: 99%

The Microstate Physics of JT Gravity and Supergravity

Johnson¹

2022

Preprint

View full text Add to dashboard Cite

It is proposed that a complete understanding of two-dimensional gravity and its emergence in random matrix models requires fully embracing both Wigner (statistics) and 't Hooft (geometry). Using non-perturbative definitions of random matrix models that yield various JT gravity and JT supergravity models on surfaces of arbitrary topology, Fredholm determinants are used to extract precise information about the spectra of discrete microstates that underlie the physics. Smooth spacetime geometry emerges only when the gaps between microstates are negligible, and there are two complementary mechanisms that achieve this in matrix models. A core idea suggested by the computations is that in each case, the matrix models point to a single distinguished discrete spectrum that characterizes the holographic dual of the (super) gravity theory, living on the disc. Only asymptotically does it reduce to the effectively continuous (super) Schwarzian result. Several physical consequences of this are elucidated, including a reassessment of the factorization puzzle. It is entirely resolved if matrix models are recognized not as models of a single JT gravity theory but as describing an ensemble of JT deformations, each of whose holographic dual is a matrix. This would immediately explain why there is also no failure of factorization for traditional higher dimensional holographic duals. Several lessons that may pertain to quantum gravity on non-trivial topology in higher dimensions are noted, and a thorough introduction to the non-perturbative matrix model techniques used is included.

show abstract

A universe field theory for JT gravity

Cited by 2 publications

References 95 publications

Quantum chaos in 2D gravity

Quantum chaos in 2D gravity

The Microstate Physics of JT Gravity and Supergravity

Contact Info

Product

Resources

About