Abstract
We found the pre-potential in the superspace with AdS 5 × S 5 background. The pre-potential appears as part of the vielbeins, without derivatives. In both subspaces (AdS 5 and S 5) we used Poincaré coordinates. We picked one bulk coordinate in AdS 5 and one bulk coordinate in S 5 to define the space-cone gauge. Such space-cone gauge destroys the bulk Lorentz covariance. However, it still preserves boundary Lorentz covariance (and gives projective superspace) SO(3, 1) ⊗ SO(4) and so symmetries of boundary CFT are manifest.
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Poláček, M., Siegel, W. Pre-potential in the AdS 5 × S 5 type IIB superspace. J. High Energ. Phys. 2017, 59 (2017). https://doi.org/10.1007/JHEP01(2017)059
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DOI: https://doi.org/10.1007/JHEP01(2017)059