GLOBAL DEFORMATIONS OF THE WITT ALGEBRA OF KRICHEVER–NOVIKOV TYPE-Reference-Cited by-同舟云学术

GLOBAL DEFORMATIONS OF THE WITT ALGEBRA OF KRICHEVER–NOVIKOV TYPE

Published:2003-12 Issue:06 Volume:05 Page:921-945
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

FIALOWSKI ALICE¹,SCHLICHENMAIER MARTIN²

Affiliation:

1. Department of Applied Analysis, Eötvös Loránd University, Pázmány Péter sétány 1, H-1117 Budapest, Hungary

2. Universite du Luxembourg, Laboratoire de Mathematiques, Campus Limpertsberg, 162A, Avenue de la Faiencerie, L-1511, Luxembourg

Abstract

By considering non-trivial global deformations of the Witt (and the Virasoro) algebra given by geometric constructions it is shown that, despite their infinitesimal and formal rigidity, they are globally not rigid. This shows the need of a clear indication of the type of deformations considered. The families appearing are constructed as families of algebras of Krichever–Novikov type. They show up in a natural way in the global operator approach to the quantization of two-dimensional conformal field theory. In addition, a proof of the infinitesimal and formal rigidity of the Witt algebra is presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199703001208

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