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Movshev, M. V.; Schwarz, A.; Xu, Renjun

Homology of Lie algebra of supersymmetries and of super Poincaré Lie algebra. (English) Zbl 1229.81117

Nucl. Phys., B 854, No. 2, 483-503 (2012).
Summary: We study the homology and cohomology groups of super Lie algebras of supersymmetries and of super Poincaré Lie algebras in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions \(\leq 11\). For dimensions \(D=10,11\) we describe also the cohomology of reduction of supersymmetry Lie algebra to lower dimensions. Our methods can be applied to extended supersymmetry Lie algebras.

Cited in 17 Documents

MSC:

81R05 Finite-dimensional groups and algebras motivated by physics and their representations
17B55 Homological methods in Lie (super)algebras
81T70 Quantization in field theory; cohomological methods

Software:

LiE; Macaulay2; GAMMA
PDFBibTeX XMLCite
\textit{M. V. Movshev} et al., Nucl. Phys., B 854, No. 2, 483--503 (2012; Zbl 1229.81117)
Full Text: DOI arXiv

References:

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