Seminar: A global operator approach to WZNW models via Krichever-Novikov type algebras

Speaker: Martin Schlichenmaier (University of Luxembourg)

2013.03.04 | Jane Jamshidi

Date Thu 07 Mar
Time 15:00 16:00
Location Aud. D2 (1531-119)

Abstract: We present a global operator approach to Wess-Zumino-Novikov models for compact Riemann surfaces of arbitrary genus g with N marked points. The approach is based on the multi-point Krichever-Novikov algebras of global meromorphic functions and vector fields, and the global algebras of affine type and their representations. Using the global Sugawara construction and the identification of a certain subspace of the vector field algebra with the tangent space to the moduli space of the geometric data, the Knizhnik-Zamalodchikov connection is defined. For fermionic representations it defines a projectively flat connection on the vector bundle of conformal blocks.
The presented work is joint work with Oleg Sheinman.

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