2021
DOI: 10.1007/jhep12(2021)206
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The semiclassical gravitational path integral and random matrices (toward a microscopic picture of a dS2 universe)

Abstract: 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}}^{… Show more

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Cited by 17 publications
(14 citation statements)
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“…For example, the number of degrees of freedom increases in the IR direction of the microscopic theory, indicating the dual quantum theory description of dS is unlikely to be a local quantum field theory. Additional evidence that the underlying microscopics of de Sitter space is not well characterized by a local quantum field theory has been given via matrix model descriptions of dS 2 [94]. Further, the UV/IR connection for dS appears to be inverted: long distances (IR) in the bulk correspond to low energies (IR) in the microscopic theory.…”
Section: Discussionmentioning
confidence: 99%
“…For example, the number of degrees of freedom increases in the IR direction of the microscopic theory, indicating the dual quantum theory description of dS is unlikely to be a local quantum field theory. Additional evidence that the underlying microscopics of de Sitter space is not well characterized by a local quantum field theory has been given via matrix model descriptions of dS 2 [94]. Further, the UV/IR connection for dS appears to be inverted: long distances (IR) in the bulk correspond to low energies (IR) in the microscopic theory.…”
Section: Discussionmentioning
confidence: 99%
“…Recent developments in this interesting direction include [291]. Moreover, Euclidean calculations starting from global low-dimensional de Sitter such as [262,292] yield formulas expressible as a sum over microstate contributions. These in turn may connect to lower-dimensional versions of the T T +Λ deformation generalizing [281] as in [273] to yield a Lorentzian microstate count as reviewed for the bulk three-dimensional case above.…”
Section: Cosmological Holographymentioning
confidence: 99%
“…This might account for the curious property that local excitations in de Sitter space lower the total entropy [118] (see also [120,121]), which was given a path integral description in terms of constrained states in [122]. Recent work [123,124] discusses possible matrix model descriptions of dS 2 . Along complementary lines there has also been rapid progress in the construction of holographic dualities for dS 3 , utilizing generalizations of the T T deformation [125][126][127] (see also [128]).…”
Section: Iv1 Quantum Gravity In De Sitter Spacementioning
confidence: 99%