Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-10-03
Class.Quant.Grav.12:627-636,1995
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, plain TeX, IFUSP-P/1124
Scientific paper
10.1088/0264-9381/12/3/003
We present a central extension of the $(m,n)$ super-Poincar\'e algebra in two dimensions. Besides the usual Poincar\'e generators and the $(m,n)$ supersymmetry generators we have $(m,n)$ Grassmann generators, a bosonic internal symmetry generator and a central charge. We then build up the topological gauge theory associated to this algebra. We can solve the classical field equations for the fields which do not belong to the supergravity multiplet and to a Lagrange multiplier multiplet. The resulting topological supergravity theory turns out to be non-local in the fermionic sector.
Leite Marcelo M.
Rivelles Victor O.
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