Abstract
An odd vector field Q on a supermanifold M is called homological, if Q2 = 0. The operator of Lie derivative LQ makes the algebra of smooth tensor fields on M into a differential tensor algebra. In this paper, we give a complete classification of certain invariants of homological vector fields called characteristic classes. These take values in the cohomology of the operator LQ and are represented by Q-invariant tensors made up of the homological vector field and a symmetric connection on M by means of the algebraic tensor operations and covariant differentiation.
Original language | English |
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Pages (from-to) | 243-261 |
Number of pages | 19 |
Journal | Letters in Mathematical Physics |
Volume | 94 |
Issue number | 3 |
DOIs | |
Publication status | Published - Dec 2010 |
Externally published | Yes |
Keywords
- characteristic classes
- gauge theories
- Q-manifolds
ASJC Scopus subject areas
- Mathematical Physics
- Statistical and Nonlinear Physics