Bulk-Boundary Propagator in Liouville Theory on a Disc
Kazuo Hosomichi
TL;DR
This paper investigates Liouville theory on worldsheets with boundaries, deriving a proposed expression for the bulk-boundary propagator using solutions to the Knizhnik-Zamolodchikov equation involving degenerate Virasoro representations.
Contribution
It introduces a new proposed formula for the bulk-boundary propagator in Liouville theory on a disc based on KZ equation solutions with degenerate Virasoro representations.
Findings
Derived a proposed expression for the bulk-boundary propagator.
Connected KZ equation solutions to Liouville boundary correlators.
Enhanced understanding of boundary effects in Liouville theory.
Abstract
We study Liouville theory on worldsheets with boundary using the solutions of Knizhnik-Zamolodchikov equation involving a degenerate representation of the Virasoro algebra. The expression for bulk-boundary propagator on a disc is proposed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.