Published January 1989 | Version v1
Journal article

Existence of connections on superbundles

  • 1. Warwick Univ., Coventry (UK). Mathematics Inst.
  • 2. Genoa Univ. (Italy). Dipt. di Matematica

Description

We show that the existence of a connection on a super vector bundle or on a principal super fibre bundle is equivalent to the vanishing of a cohomological invariant of the superbundle. This invariant is proved to vanish in the case of a De Witt base supermanifold. Finally, some examples are discussed. (orig.)

Additional details

Publishing Information

Journal Title
Letters in Mathematical Physics
Journal Volume
17
Journal Issue
1
Series
Lett. Math. Phys.
Journal Page Range
61-68
ISSN
0377-9017
CODEN
LMPHD

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
20057966
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
SMOOTH MANIFOLDS; SUPERSYMMETRY; TOPOLOGICAL MAPPING; VECTOR FIELDS; VECTORS
Descriptors DEC
MATHEMATICAL MANIFOLDS; SYMMETRY; TENSORS; TRANSFORMATIONS