Towards bosonization of Virasoro coadjoint orbits
Mathematical Physics
2022-10-28 v1 High Energy Physics - Theory
math.MP
Abstract
We show that Schwarzian theories associated to certain hyperbolic and parabolic Virasoro coadjoint orbits admit bosonization, i.e. a global -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 Teichm\"uller orbit.
Keywords
Cite
@article{arxiv.2210.15233,
title = {Towards bosonization of Virasoro coadjoint orbits},
author = {Anton Alekseev and Olga Chekeres and Donald R. Youmans},
journal= {arXiv preprint arXiv:2210.15233},
year = {2022}
}
Comments
28 pages