Quantum dilaton supergravity in 2D with non-minimally coupled matter

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General N=(1,1) dilaton supergravity in two dimensions allows a background independent exact quantization of the geometric part, if these theories are formulated as specific graded Poisson-sigma models. In this work the extension of earlier results to models with non-minimally coupled matter is presented. In particular, the modifications of the constraint algebra due to non-minimal couplings are calculated and it is shown that quartic ghost-terms do not arise. Consequently the path-integral quantization as known from bosonic theories and supergravity with minimally coupled matter can be taken over.
8 pages. Contribution to the second international workshop "Gravity, Astrophysics and Strings at the Black Sea", June 10-16, 2004

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