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Superstrings on AdS_5 x S^5 supertwistor space

Radu Roiban·Warren Siegel
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Abstract

We derive the Green-Schwarz action on AdS_5 x S^5 using an alternate version of the coset superspace construction. By Wick rotations and Lie algebra identifications we bring the coset to GL(4|4)/(Sp(4) x GL(1))^2, which allows us to represent the conformal transformations on unconstrained matrices. The derivation is more streamlined even for the bosonic sector, and conformal symmetry is manifest at every step. Kappa-symmetry gauge fixing is more transparent.

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Radu Roiban, Warren Siegel. 2000-11-02. Superstrings on AdS_5 x S^5 supertwistor space. https://doi.org/10.1088/1126-6708%2F2000%2F11%2F024

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