Published November 2009
| Version v1
Journal article
Deformations of 3-algebras
Creators
- 1. Maxwell Institute and School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
Description
We phrase deformations of n-Leibniz algebras in terms of the cohomology theory of the associated Leibniz algebra. We do the same for n-Lie algebras and for the metric versions of n-Leibniz and n-Lie algebras. We place particular emphasis on the case of n=3 and explore the deformations of 3-algebras of relevance to three-dimensional superconformal Chern-Simons theories with matter.
Additional details
Identifiers
- DOI
- 10.1063/1.3262528;
- arXiv
- arXiv:0903.4871v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 50
- Journal Issue
- 11
- Journal Page Range
- p. 113514-113514.27
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41040522
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; LIE GROUPS; METRICS; QUANTUM FIELD THEORY; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- FIELD THEORIES; MATHEMATICS; SYMMETRY; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2009 American Institute of Physics