Topological Dilatonic Supergravity Theories

Abstract

We present a central extension of the $(m,n)$ super-Poincaré algebra in two dimensions. Besides the usual Poincaré 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.

11 pages, plain TeX, IFUSP-P/1124

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Cited by in corpus (6)

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• Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra
• Free differential algebras and generic 2D dilatonic (super)gravities
• A Solvable Model of Flat Space Holography
• Black Holes in the Gauge Theoretic Formulation of Dilatonic Gravity
• Gauge Theoretic Formulation of Dilatonic Gravity Coupled to Particles