Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-12
JHEP 0807:059,2008
Physics
High Energy Physics
High Energy Physics - Theory
31 pp. no figures, latex, some modifications at pag 21, a missing term in 4.51 corrected. Discussion on BRST symmetry improved
Scientific paper
10.1088/1126-6708/2008/07/059
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 kappa-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.
D'Auria Riccardo
Fre' Pietro
Grassi Pietro Antonio
Trigiante Mario
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