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Pure spinor superstrings on generic type IIA supergravity backgrounds

R. D'Auria1, P. Fré2,3, P.A. Grassi3,4 and M. Trigiante1

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We derive the Free Differential Algebra for type IIA supergravity in 10 dimensions in the string frame. We provide all fermionic terms for all curvatures. We derive the Green-Schwarz sigma model for type IIA superstring based on the FDA construction and we check its invariance under κ-symmetry. Finally, we derive the pure spinor sigma model and we check the BRST invariance. The present derivation has the advantage that the resulting sigma model is constructed in terms of the superfields appearing in the FDA and therefore one can directly relate a supergravity background with the corresponding sigma model. The complete explicit form of the BRST transformations is given and some new pure spinor constraints are obtained. Finally, the explicit form of the action is given.

Keywords

Superstrings and Heterotic Strings

BRST Quantization

BRST Symmetry

PACS

04.65.+e Supergravity

11.25.-w Strings and branes

02.10.-v Logic, set theory, and algebra

11.30.Pb Supersymmetry

Subjects

Mathematical physics

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 07 (July 2008)

Received 13 May 2008, accepted for publication 12 June 2008

Published 10 July 2008



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