Quantization of the Superstring in Ramond-Ramond Backgrounds

Details Quantization of the Superstring in Ramond-Ramond Backgrounds Quantization of the Superstring in Ramond-Ramond Backgrounds

1999-10-29

arxiv.org/abs/hep-th/9910251v2

Class.Quant.Grav.17:971-978,2000

Physics

High Energy Physics

High Energy Physics - Theory

Corrected a few typos, Talk given at Strings `99 in Potsdam

Scientific paper

10.1088/0264-9381/17/5/306

Sigma model actions are constructed for the Type II superstring compactified to four and six dimensional curved backgrounds which can contain non-vanishing Ramond-Ramond fields. These actions are N=2 worldsheet superconformally invariant and can be covariantly quantized preserving manifest spacetime supersymmetry. They are constructed using a hybrid version of superstring variables which combines features of the Ramond-Neveu-Schwarz and Green-Schwarz formalisms. For the $AdS_2\times S^2$ and $AdS_3\times S^3$ backgrounds, these actions differ from the classical Greeen-Schwarz actions by a crucial kinetic term for the fermions. Parts of this work have been done in collaborations with M. Bershadsky, T. Hauer, W. Siegel, C. Vafa, E. Witten, S. Zhukov and B. Zwiebach.

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