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BMS$_3$ fermionic localization

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arxiv 2412.05038 v2 pith:OWC337VN submitted 2024-12-06 hep-th

Joan Simón , Boyang Yu This is my paper · ORCID
classification hep-th
keywords constantfermioniclocalizationactionallowscoadjointcomputeconsider
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abstract

We consider the geometric action formulation for 3d pure gravity with vanishing cosmological constant. We use fermionic localization to compute the exact torus partition function for a constant representative coadjoint orbit of $\widehat{\text{BMS}}_3$. This allows us to discuss its 1-loop exactness.

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Cited by 1 Pith paper

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  1. Modular matrices of 2d Carrollian and warped CFTs

    hep-th 2025-01 conditional novelty 6.0 of 10

    Explicit modular S and T matrices are derived for Carrollian (bms3) and warped CFT characters, with checks of S squared and unitarity.

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