Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds
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 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.
Cite
@article{arxiv.0803.1703,
title = {Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds},
author = {R. D'Auria and P. Fre' and P. A. Grassi and M. Trigiante},
journal= {arXiv preprint arXiv:0803.1703},
year = {2009}
}
Comments
31 pp. no figures, latex, some modifications at pag 21, a missing term in 4.51 corrected. Discussion on BRST symmetry improved