A BV action for ten-dimensional N=1 supergravity coupled to Yang-Mills is proposed in component fields, with consistency checks but no complete proof of the classical master equation.
Pure spinors in classical and quantum supergravity
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abstract
This is an overview of the method of pure spinor superfields, written for "Handbook of Quantum Gravity", eds. C. Bambi, L. Modesto and I. Shapiro. The main focus is on the use of the formalism in maximal supergravity on a flat background. The basics of pure spinor superfields, and their relation to standard superspace, is reviewed. The pure spinor superstring model of Berkovits is briefly discussed. Consequences for divergence properties of loop diagrams in maximal supergravity are restated. Some final remarks are made concerning desirable development of the theoretical framework.
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Batalin-Vilkovisky formulation of the $\mathcal N=1$ supergravity in ten dimensions
A BV action for ten-dimensional N=1 supergravity coupled to Yang-Mills is proposed in component fields, with consistency checks but no complete proof of the classical master equation.