Simple variables for AdS${}_5\times S^5$ superspace

Abstract

We introduce simple variables for describing the AdS${}_5\times S^5$ superspace, i. e. $\frac{PSU(2,2|4)}{SO(4,1)\times SO(5)}$. The idea is to embed the coset superspace into a space described by variables which are in linear (ray) representations of the supergroup $PSU(2,2|4)$ by imposing certain supersymmetric quadratic constraints (up to two overall U(1) factors). The construction can be considered as a supersymmetric generalisation of the elementary realisations of the $Ad{S}_5$ and the $S^5$ spaces by the SO(4,2) and SO(6) invariant quadratic constraints on two six-dimensional flat spaces.

8 pages;v2 corrected typographical errors above the formula (5);v3 added comments at the end;v4 corrected typographical errors

References in corpus (2)

• New Formulation of the Type IIB Superstring Action in $Ad{S}_5\times S^5$
• Parametrization of cosets for AdS5xS5 superstring action