Towards a loop representation of connection theories defined over a super Lie algebra
- Departamento de Fisica, Universidad Autonoma Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 (Mexico), D. F.
The purpose of this contribution is to review some aspects of the loop space formulation of pure gauge theories having the connection defined over a Lie algebra. The emphasis is focused on the discussion of the Mandelstam identities, which provide the basic constraints upon both the classical and the quantum degrees of freedom of the theory. In the case where the connection is extended to be valued on a super Lie algebra, some new results are presented which can be considered as first steps towards the construction of the Mandelstam identities in this situation, which encompasses such interesting cases as supergravity in 3+1 dimensions together with 2+1 super Chern-Simons theories, for example. Also, these ideas could be useful in the loop space formulation of fully supersymmetric theories. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 401038
- Report Number(s):
- CONF-9511225-; ISSN 0094-243X; TRN: 96:029237
- Journal Information:
- AIP Conference Proceedings, Vol. 359, Issue 1; Conference: Workshop on particles and fields and phenomenology of fundamental interactions, Puebla (Mexico), Nov 1995; Other Information: PBD: Feb 1996
- Country of Publication:
- United States
- Language:
- English
Similar Records
Theory of super LIE groups
Superspace formulation in a three-algebra approach to D=3, N=4, 5 superconformal Chern-Simons matter theories