Open AccessAn attempt to relate area-preserving diffeomorphisms to Kac-Moody algebras
Author(s) -
E. Ragoucy,
P. Sorba
Publication year - 1991
Publication title -
letters in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.915
H-Index - 62
eISSN - 1573-0530
pISSN - 0377-9017
DOI - 10.1007/bf00398331
Subject(s) - diffeomorphism , algebra over a field , mathematics , pure mathematics , virasoro algebra , algebra representation , cellular algebra , subalgebra
In the same way as the Virasoro algebra can be connected with Kac-Moody algebras defined on the S1 circle, the area-preserving diffeomorphism algebra SDiff(M), where M is a two-dimensional surface, acts as a derivation algebra on super Kac-Moody algebras with one or two supersymmetries. Then a Sugawara-like construction with fermions of the nonextended SDiff(M) algebra is discussed.
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