Integrating positive energy representations of the Virasoro algebra
Functional Analysis
2025-06-11 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We show that every unitary positive energy representation W of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli by bounded operators on the Hilbert space completion of W. We use this to show that every representation of the Virasoro conformal net also carries a representation of the semigroup of annuli of the same kind.
Keywords
Cite
@article{arxiv.2506.08684,
title = {Integrating positive energy representations of the Virasoro algebra},
author = {André G. Henriques and James E. Tener},
journal= {arXiv preprint arXiv:2506.08684},
year = {2025}
}
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32 pages