N=2 Sigma Models for Ramond-Ramond Backgrounds

Abstract

Using the U(4) hybrid formalism, manifestly N=(2,2) worldsheet supersymmetric sigma models are constructed for the Type IIB superstring in Ramond-Ramond backgrounds. The Kahler potential in these N=2 sigma models depends on four chiral and antichiral bosonic superfields and two chiral and antichiral fermionic superfields. When the Kahler potential is quadratic, the model is a free conformal field theory which describes a flat ten-dimensional target space with Ramond-Ramond flux and non-constant dilaton. For more general Kahler potentials, the model describes curved target spaces with Ramond-Ramond flux that are not plane-wave backgrounds. Ricci-flatness of the Kahler metric implies the on-shell conditions for the background up to the usual four-loop conformal anomaly.

19 pages harvmac

References in corpus (3)

• A class of exact pp-wave string models with interacting light-cone gauge actions
• N=2 Superconformal Description of Superstring in Ramond-Ramond Plane Wave Backgrounds
• Matrix String Models for Exact (2,2) String Theories in R-R Backgrounds

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• D-branes of Covariant AdS Superstrings
• On Type II strings in exact superconformal non-constant RR backgrounds
• Remarks on type IIB pp waves with Ramond-Ramond fluxes and massive two dimensional nonlinear sigma models
• Constrained Supermanifolds for AdS M-Theory Backgrounds
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• Local Commutativity and Causality in Interacting PP-wave String Field Theory