Topological Dilatonic Supergravity Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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.

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