DEFORMATIONS OF NILPOTENT PARTS OF THE NEVEU-SCHWARZ AND RAMOND SUPERALGEBRAS

Authors
VANDENHIJLIGENBERG N
Citation
N. Vandenhijligenberg, DEFORMATIONS OF NILPOTENT PARTS OF THE NEVEU-SCHWARZ AND RAMOND SUPERALGEBRAS, Journal of mathematical physics, 35(3), 1994, pp. 1427-1440
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
3
Year of publication
1994
Pages
1427 - 1440
Database
ISI
SICI code
0022-2488(1994)35:3<1427:DONPOT>2.0.ZU;2-W
Abstract
Deformations of nilpotent parts of the Neveu-Schwarz superalgebra and of the Ramond superalgebra are studied herein. This study consists of the computation of the second cohomology space with coefficients in th e adjoint representation by means of spectral sequences, the explicit construction of infinitesimal deformations, the extension of these inf initesimal deformations to one-parameter deformations, the realization of these deformations, and the construction of multiparameter deforma tions.