2015/06/25 by John H. Schwarz, Schwarz, John H.
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.1506.07706
openalex publication_date 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Previous studies of the type IIB superstring in an AdS5 × S5 background are based on a description of the superspace geometry as the quotient space PSU(2,2|4)/SO(4,1) × SO(5). This paper develops an alternative approach in which the Grassmann coordinates provide a nonlinear realization of PSU(2,2|4) based on the quotient space PSU(2,2|4)/SU(2,2) × SU(4), and the bosonic coordinates are described as a submanifold of SU(2,2) × SU(4). This formulation keeps all bosonic symmetries manifest, and it provides the complete dependence on the Grassmann coordinates in terms of simple analytic expressions. It is used to construct the superstring world-sheet action in a form in which the PSU(2,2|4) symmetry is manifest and kappa symmetry can be established. This formulation might have some advantages compared to previous ones, but this remains to be demonstrated.