Constructing AdS2 flow geometries

Anninos, Dionysios; Galante, Damián A.

doi:10.1007/jhep02(2021)045

Cited by 33 publications

(41 citation statements)

References 58 publications

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“…However, a new set of geometries was proposed in [34,35], where the cosmological event horizon is in causal contact with the AdS boundary. These are solutions to certain dilaton-gravity theories in two dimensions that, when uplifted to higher dimensions, do satisfy the null energy conditions [38]. They appear in the context of the recently studied near AdS 2 geometries [39][40][41][42], where there is a large, slowly varying dilaton playing the role of the size of the compact dimensions.…”

Section: Jhep02(2022)198mentioning

confidence: 96%

“…From this point of view, they can be seen as an RG flow from a UV near-conformal point towards a dS infrared point and we therefore refer to them as flow geometries. One could imagine building the dual to the flow geometries from relevant deformations of SYK-like models [38]. 1 From a macroscopic perspective, the flow geometries allow us to compute different types of observables in the hope of characterising the cosmological event horizon.…”

Section: Jhep02(2022)198mentioning

confidence: 99%

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Holographic complexity and de Sitter space

Chapman

Galante

Kramer

2022

J. High Energ. Phys.

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We compute the length of spacelike geodesics anchored at opposite sides of certain double-sided flow geometries in two dimensions. These geometries are asymptotically anti-de Sitter but they admit either a de Sitter or a black hole event horizon in the interior. While in the geometries with black hole horizons, the geodesic length always exhibit linear growth at late times, in the flow geometries with de Sitter horizons, geodesics with finite length only exist for short times of the order of the inverse temperature and they do not exhibit linear growth. We comment on the implications of these results towards understanding the holographic proposal for quantum complexity and the holographic nature of the de Sitter horizon.

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Section: Jhep02(2022)198mentioning

confidence: 96%

Section: Jhep02(2022)198mentioning

confidence: 99%

Holographic complexity and de Sitter space

Chapman

Galante

Kramer

2022

J. High Energ. Phys.

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“…In order to be able to use the propagator (52) we need to express the cubic terms (56) in the same gauge (45). We will work in (t, z) coordinates here (to directly compare our results with those in [24]), so we define…”

Section: Cubic Vertex Involving One Gravitonmentioning

confidence: 99%

“…Models that could potentially lead to such modifications include those with the possible addition of extra fermion flavors [55,56], or scalars, such as the supersymmetric generalizations of SYK and their extensions [57][58][59]. However, to our knowledge, none of these models lead exactly to a correction of the two-point function with the functional dependence of q appearing in (59).…”

Section: Holographic Dual Interpretationmentioning

confidence: 99%

Rotating 5D black holes: Interactions and deformations near extremality

et al. 2021

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We study a two-dimensional theory of gravity coupled to matter that is relevant to describe holographic properties of black holes with two equal angular momenta in five dimensions (with or without cosmological constant). We focus on the near-horizon geometry of the near-extremal black hole, where the effective theory reduces to Jackiw-Teitelboim (JT) gravity coupled to a massive scalar field. We compute the corrections to correlation functions due to cubic interactions present in this theory. A novel feature is that these corrections do not have a definite sign: for AdS_55 black holes the sign depends on the mass of the extremal solution. We discuss possible interpretations of these corrections from a gravitational and holographic perspective. We also quantify the imprint of the JT sector on the UV region, i.e. how these degrees of freedom, characteristic for the near-horizon region, influence the asymptotically far region of the black hole. This gives an interesting insight on how to interpret the IR modes in the context of their UV completion, which depends on the environment that contains the black hole.

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“…Recent activity on microscopic models for the static patch de Sitter horizon include[79,80], where the microstates of the dS3 are argued to be obtained by a T T reassembling of the BTZ microstates, and[81][82][83] where the microstates of dS2 are argued to be obtained by reassembling those of an AdS2 black hole in SYK type theories. The interior of the de Sitter horizon was explored in[84][85][86].…”

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confidence: 99%

The semiclassical gravitational path integral and random matrices (toward a microscopic picture of a dS2 universe)

Anninos

Mühlmann

2021

J. High Energ. Phys.

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We study the genus expansion on compact Riemann surfaces of the gravitational path integral $$ {\mathcal{Z}}_{\mathrm{grav}}^{(m)} $$ Z grav m in two spacetime dimensions with cosmological constant Λ > 0 coupled to one of the non-unitary minimal models ℳ2m − 1, 2. In the semiclassical limit, corresponding to large m, $$ {\mathcal{Z}}_{\mathrm{grav}}^{(m)} $$ Z grav m admits a Euclidean saddle for genus h ≥ 2. Upon fixing the area of the metric, the path integral admits a round two-sphere saddle for h = 0. We show that the OPE coefficients for the minimal weight operators of ℳ2m − 1, 2 grow exponentially in m at large m. Employing the sewing formula, we use these OPE coefficients to obtain the large m limit of the partition function of ℳ2m − 1, 2 for genus h ≥ 2. Combining these results we arrive at a semiclassical expression for $$ {\mathcal{Z}}_{\mathrm{grav}}^{(m)} $$ Z grav m . Conjecturally, $$ {\mathcal{Z}}_{\mathrm{grav}}^{(m)} $$ Z grav m admits a completion in terms of an integral over large random Hermitian matrices, known as a multicritical matrix integral. This matrix integral is built from an even polynomial potential of order 2m. We obtain explicit expressions for the large m genus expansion of multicritical matrix integrals in the double scaling limit. We compute invariant quantities involving contributions at different genera, both from a matrix as well as a gravity perspective, and establish a link between the two pictures. Inspired by the proposal of Gibbons and Hawking relating the de Sitter entropy to a gravitational path integral, our setup paves a possible path toward a microscopic picture of a two-dimensional de Sitter universe.

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Constructing AdS2 flow geometries

Cited by 33 publications

References 58 publications

Holographic complexity and de Sitter space

Holographic complexity and de Sitter space

Rotating 5D black holes: Interactions and deformations near extremality

The semiclassical gravitational path integral and random matrices (toward a microscopic picture of a dS2 universe)

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