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Geometric Actions for Lower-Spin Gravity

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arxiv 2408.13198 v1 pith:JTHEQRJL submitted 2024-08-23 hep-th

Stéphane Detournay , Quentin Vandermiers This is my paper · ORCID
classification hep-th
keywords actionwarpedgeometricgravityvirasoroactionsboundarybulk
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abstract

We perform the Hamiltonian reduction of Lower Spin Gravity, the simplest bulk dual for a Warped Conformal Field Theory (WCFT), consisting in an $SL(2) \times U(1)$ Chern-Simons model. We identify the boundary action as the geometric action on coadjoint orbits of the Warped Virasoro group. We use this reduced action to compute one-loop contributions to the torus partition function and compare them to the Warped Virasoro characters.

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Cited by 2 Pith papers

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

  1. Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity

    hep-th 2025-01 conditional novelty 6.0 of 10

    Boundary reduction of 3d higher-spin Chern-Simons gravity yields covariant and gauge-fixed higher-derivative chiral-scalar actions for arbitrary spin s, with a factorized kinetic operator and special zero-mode backgrounds.

  2. BMS$_3$ fermionic localization

    hep-th 2024-12 conditional novelty 6.0 of 10

    Fermionic localization makes the BMS3 torus partition function one-loop exact for irrational or imaginary θ and yields a factorized rational-θ answer.

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