2D quantum gravity partition function on the fluctuating sphere

Giribet, Gastón; Leoni, Matías

doi:10.1007/jhep09(2022)126

Cited by 6 publications

(4 citation statements)

References 64 publications

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“…Some of these contributions can be interpreted as entanglement entropy for gravitational edge modes [103,104]. Similar expressions have been studied in 𝑑 = 3, where there exists an all-loop calculation [28,105,106] and in 𝑑 = 2, where a non-perturbative formula in timelike Liouville theory has been conjectured [107][108][109][110][111][112][113].…”

Section: Static Patch Holography and Timelike Boundariesmentioning

confidence: 67%

Modave lectures on de Sitter space & holography

Galante¹

2023

Proceedings of Modave Summer School in Mathematical Physics — PoS(Modave2022)

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These lecture notes provide an overview of different aspects of de Sitter space and their plausible holographic interpretations. We start with a general description of the classical spacetime. We note the existence of a cosmological horizon and its associated thermodynamic quantities, such as the Gibbons-Hawking entropy. We discuss geodesics and shockwave solutions, that might play a role in a holographic description of de Sitter. Finally, we discuss different approaches to quantum theories of de Sitter space, with an emphasis on recent developments in static patch holography.

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Section: Static Patch Holography and Timelike Boundariesmentioning

confidence: 67%

Modave lectures on de Sitter space & holography

Galante¹

2023

Proceedings of Modave Summer School in Mathematical Physics — PoS(Modave2022)

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“…The fact that the s insertions are integrated means that they are hard sources that constitute the wall, and so they are integrated over the whole non-compact direction X 0 . According to this, the prefactor Γ(−s) in (22) has the same interpretation as the one given in [8]; it is the factor associated to the poles of resonant correlators with a definite number of tachyon insertions.…”

Section: Interpretation Of (22)mentioning

confidence: 85%

“…In particular, the limiting procedure connecting the three-point function to the two-point function is puzzling [11]. The special features of the timelike three-point function were discussed by many authors, and notably by Harlow, Maltz, and Witten in [10]; see also [15]- [22] and references therein and thereof. Our computation, however, only relies on the expression for the two-point function, for which no special features are expected to appear and the result was expected to yield the correct two-point function as shown.…”

Section: Discussionmentioning

confidence: 99%

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Comments on the two-point string amplitudes

Giribet¹,

Labranche²,

Joan³

2023

Preprint

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The two-point string amplitude at tree level in flat spacetime reproduces the expected expression for free particles. This has been proven by Erbin, Maldacena and Skliros in [JHEP 07 (2019) 139] by two methods. Here, we provide an alternative proof of this result. Our method consists in considering a timelike Liouville direction as a regularization parameter, which suffices to break time translation invariance and, at the same time, to stabilize the residual conformal symmetry in the worldsheet. This allows taking a limit and restoring Poincaré symmetry in a controlled way, thus reproducing the correct expression of the two-point amplitude.

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Finite features of quantum de Sitter space

Anninos

Galante²,

Mühlmann³

2022

Class. Quantum Grav.

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We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we compute dynamical properties of the static patch de Sitter horizon. These are compared to dynamical features of a black hole. We point out diﬀerences suggestive of non-standard thermal behaviour for the de Sitter horizon. We establish that geometries interpolating between an asymptotically AdS2×S2 space and a dS4 interior are compatible with the null energy condition, albeit with a non-standard decreasing radial size of S2. The putative holographic dual of an asymptotic AdS2 spacetime is comprised of a ﬁnite number of underlying degrees of freedom. From a Euclidean perspective we consider the gravitational path integral for ﬁelds over compact manifolds. In two-dimensions, we review Polchinski’s BRST localisation of Liouville theory and propose a supersymmetric extension of timelike Liouville theory which exhibits supersymmetric localisation. We speculate that localisation of the Euclidean gravitational path integral is a reﬂection of a ﬁnite number of degrees of freedom in a quantum de Sitter universe.

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2D quantum gravity partition function on the fluctuating sphere

Cited by 6 publications

References 64 publications

Modave lectures on de Sitter space & holography

Modave lectures on de Sitter space & holography

Comments on the two-point string amplitudes

Finite features of quantum de Sitter space

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