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Warped Schwarzian theory

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arxiv 1908.08089 v3 pith:GQ6WMEHN submitted 2019-08-21 hep-th

classification hep-th
keywords theorywarpedschwarzianactionassociatedbasecirclecoadjoint
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abstract

We consider the (twisted) warped Virasoro group Diff($S^1$)$\ltimes$ C$^\infty$($S^1$) in the presence of its three cocycles. We compute the Kirillov-Kostant-Souriau symplectic 2-form on coadjoint orbits. We then construct the Euclidean action of the `warped Schwarzian theory' associated to the orbit with SL(2,$\mathbb{R}$)$\times$U(1) stabilizer as the effective theory of the reparametrization over the base circle and evaluate the corresponding one-loop-exact path integral. We further discuss thermodynamics of the wSch theory in comparison with the complex SYK model.

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Cited by 2 Pith papers

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  1. Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geom...

  2. Tantum Gravity

    hep-th 2024-12 conditional novelty 7.0 of 10

    A triple-scaling limit of quantum gravity keeps black hole thermodynamics finite and reproduces the Hawking temperature.

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