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Pure spinor superstrings on generic type IIA supergravity backgrounds

R. D'Auria et al JHEP07(2008)059   doi: 10.1088/1126-6708/2008/07/059  Help

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R. D'Auria1, P. Fré2,3, P.A. Grassi3,4 and M. Trigiante1
1 Dipartimento di Fisica Politecnico di Torino, C.so Duca degli Abruzzi, 24, I-10129 Torino, Italy
2 Dipartimento di Fisica Teorica, Università di Torino, via P. Giuria 1, I-10125 Torino, Italy
3 INFN, Sezione di Torino, via P. Giuria 1, I-10125 Torino, Italy
4 DISTA, Università del Piemonte Orientale, Via Bellini 25/G, Alessandria, 15100, Italy
E-mail: mario.trigiante@polito.it

Abstract. 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.

Key words: BRST Quantization; BRST Symmetry; Superstrings and Heterotic Strings

Received 13 May 2008, accepted for publication 12 June 2008
Published 10 July 2008

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