A Global Operator Approach to Wess-Zumino-Novikov-Witten models
Journal Article
·
· AIP Conference Proceedings
- University of Luxembourg, Institute of Mathematics, Campus Limpertsberg 162 Avenue de la Faiencerie, L-1511 Luxembourg (Luxembourg)
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 multipoint 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.
- OSTI ID:
- 21039279
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 956; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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