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arXiv · 2210.15233

Towards bosonization of Virasoro coadjoint orbits

Anton Alekseev·Olga Chekeres·Donald R. Youmans
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Abstract

We show that Schwarzian theories associated to certain hyperbolic and parabolic Virasoro coadjoint orbits admit bosonization, i.e. a global $S^1$-equivariant Darboux chart in which the corresponding path integral becomes Gaussian. In this chart, correlation functions of bilocals, time-ordered and out-of-time ordered, can be computed explicitly. We conjecture that a similar global chart exists for the Teichmüller orbit.

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Anton Alekseev, Olga Chekeres, Donald R. Youmans. 2022-10-27. Towards bosonization of Virasoro coadjoint orbits. https://arxiv.org/abs/2210.15233

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