2003/11/07 by Urs Schreiber, Schreiber, Urs · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/0311064
80 pages, no figures, example calculation of curvature corrections to superstring spectrum for AdS3/pp-wave scenario added, introduction expanded
openalex publication_date 2003/11/07 · arxiv created 2004/02/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a general formalism for covariant Hamiltonian evolution of supersymmetric (field) theories by making use of the fact that these can be represented on the exterior bundle over their bosonic configuration space as generalized Dirac-Kaehler systems of the form (d ± d^†)\ketψ = 0. By using suitable deformations of the supersymmetry generators we find covariant Hamiltonians for target spaces with general gravitational and Kalb-Ramond field backgrounds and discuss their perturbation theory. As an example, these results are applied to the study of curvature corrections of superstring spectra for AdS3 x S3 close to its pp-wave limit.