Geometry
Seminar
Determinants of Laplacians and
Bosonization Formulas
Professor
Richard Wentworth
Johns Hopkins University, USA;
IMR Visiting Fellow, HKU
Abstract
The
bosonization formulas on Riemann surfaces relate zeta-regularized
determinants of Laplace operators acting on
sections of line bundles and on scalars. They play an important role in
conformal field theory and perturbative string
theory. Proofs of these identities in the mathematical literature
generally proceed by computing either first or second variations of certain
combinations of Green's and theta functions with respect to the Riemann moduli. As a consequence, all current formulations
leave undetermined constants of integration, depending only on the genus and the spin, which must be evaluated by other
means. In this talk, we will show how to determine these constants
precisely via degeneration arguments.
|
Date:
|
July 20, 2006 (Thursday)
|
|
Time:
|
3:00
– 4:00pm
|
|
Place:
|
Room 517, Meng
Wah Complex, HKU
|