2007/04/25 by Pietro Fré, Pietro Antonio Grassi
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/01/036
published as JHEP0801:036,2008 · LaTex, 47 pages, no figures
arxiv created 2007/04/25 · openalex publication_date 2008/01/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
A long standing problem is the supergauge completion of AdS4 x (G/H)7 or AdS5 x (G/H)5 backgrounds which preserve less then maximal supersymmetry. In parallel with the supersolvable realization of the AdS4 x S7 background based on Kappa-symmetry, we develop a technique which amounts to solving the above-mentioned problem in a way useful for pure spinor quantization for supermembranes and superstrings. Instead of gauge fixing some of the superspace coordinates to zero, we impose an additional constraint on them reproducing the simplifications of the supersolvable representations. The constraints are quadratic, homogeneous, Sp(4,R)-covariant, and consistent from the quantum point of view in the pure spinor approach. Here we provide the geometrical solution which, in a subsequent work, will be applied to the membrane and the superstring sigma models.