Abstract
The B-RNS-GSS formalism containing both RNS and GS worldsheet variables is extended for the description of the Type II superstring in curved backgrounds. The BRST charge of the theory is expressed in terms of \( \mathcal{N} \) = (1, 1) superconformal generators \( \left(T,G;\hat{T},\hat{G}\right) \), and the classical anticommutation relations {G, G} = −2T and \( \left\{\hat{G},\hat{G}\right\}=-2\hat{T} \) are shown to imply the Type II supergravity equations of motion. The particular case of the Type IIB superstring in an AdS5 × S5 background is discussed and shown to be classically integrable.
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Acknowledgments
The authors are especially grateful to Nathan Berkovits for useful discussions, for suggesting to investigate the integrability of the AdS5 × S5 sigma-model and for carefully reading and commenting on the manuscript. OC would like to thank fondecyt grants 1200342 and 1201550 for partial financial support. JG would also like to thank Lucas N.S. Martins and Rodrigo S. Pitombo for useful discussions, and FAPESP grants 2021/14335-0 (ICTP-SAIFR) and 2022/04105-0 for partial financial support.
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Chandia, O., Gomide, J. B-RNS-GSS type II superstring in Ramond-Ramond backgrounds. J. High Energ. Phys. 2024, 64 (2024). https://doi.org/10.1007/JHEP01(2024)064
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DOI: https://doi.org/10.1007/JHEP01(2024)064