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Pure spinor approach to type IIA superstring sigma models and free differential algebras

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Abstract

This paper considers the Free Differential Algebra and rheonomic parametrization of type IIA Supergravity, extended to include the BRS differential and the ghosts. We consider not only the ghosts λ’s of supersymmetry but also the ghosts corresponding to gauge and Lorentz transformations. In this way we can derive not only the BRS transformations of fields and ghosts but also the standard pure spinor constraints on λ’s. Moreover the formalism allows to derive the action for the pure spinor formulation of type IIA superstrings in a general background, recovering the action first obtained by Berkovits and Howe.

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Authors and Affiliations

  1. Dipartimento di Fisica, Universita degli Studi di Padova, Via F. Marzolo 8, 35131, Padova, Italy

    Mario Tonin

  2. INFN, Sezione di Padova, Via F. Marzolo 8, 35131, Padova, Italy

    Mario Tonin

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  1. Mario Tonin
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ArXiv ePrint: 1002.3500

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Tonin, M. Pure spinor approach to type IIA superstring sigma models and free differential algebras. J. High Energ. Phys. 2010, 83 (2010). https://doi.org/10.1007/JHEP06(2010)083

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