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dS$_2$ Supergravity

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arxiv 2309.02480 v3 pith:274PNZIC submitted 2023-09-05 hep-th gr-qc

Dionysios Anninos , Pietro Benetti Genolini , Beatrix Mühlmann This is my paper · ORCID
classification hep-thgr-qc
keywords mathcalsittersupersymmetricsupersymmetrytheoriessupergravitytheorylocalization
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct two-dimensional supergravity theories endowed with a positive cosmological constant, that admit de Sitter vacua. We consider the cases of $\mathcal{N}=1$ as well as $\mathcal{N}=2$ supersymmetry, and couple the supergravity to a superconformal field theory with the same amount of supersymmetry. Upon fixing a supersymmetric extension of the Weyl gauge, the theories are captured, at the quantum level, by supersymmetric extensions of timelike Liouville theory with $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry respectively. The theories exhibit good ultraviolet properties and are amenable to a variety of techniques such as systematic loop expansions and, in the $\mathcal{N}=2$ case, supersymmetric localization. Our constructions offer a novel path toward a precise treatment of the Euclidean gravitational path integral for de Sitter, and in turn, the Gibbons-Hawking entropy of the de Sitter horizon. We argue that the supersymmetric localization method applied to the $\mathcal{N}=2$ theory must receive contributions from boundary terms in configuration space. We also discuss how these theories overcome several obstructions that appear upon combining de Sitter space with supersymmetry.

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Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory

    hep-th 2026-07 conditional novelty 7.0 of 10

    N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.

  2. A microscopic realization of dS$_3$

    hep-th 2025-01 conditional novelty 7.0 of 10

    Pure dS3 quantum gravity is claimed to be dual to the complex Liouville string's matrix integral, with integrated cosmological correlators equal to resolvent correlators and de Sitter entropy equal to 2 log of the eig...

  3. A discrete series gauge field at the late-time boundary of $dS_4$

    hep-th 2026-07 accept novelty 6.0 of 10

    Both Δ=1 and Δ=2 late-time Maxwell operators on planar dS4 furnish the photon unitary discrete series of SO(4,1), which splits into opposite-helicity summands via self-dual field-strength sectors.

  4. Quantum Liouville Cosmology

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    Timelike Liouville disk path integrals in fixed K-representation produce Hartle-Hawking-like states, a conjecture for all-loop wavefunctions, and a K-independent inner product for 2D quantum cosmology.

  5. Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections

    hep-th 2024-11 conditional novelty 6.0 of 10

    Scalar and vector Feynman integrals on the sphere are mapped to A-hypergeometric (GKZ) systems via embedding space propagators, enabling algorithmic higher-loop computations.

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