2012/11/27 by M.P. García del Moral, M. P. Garcia del Moral, del Moral, M. P. Garcia
Environmental Science · Physics and Astronomy · #Bacteriophages and microbial interactions #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1211.6265
17 pg, latex. arXiv admin note: substantial text overlap with arXiv:1203.2767
arxiv created 2012/11/27 · openalex publication_date 2012/11/27 · arxiv updated 2012/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note I review the role played by dualities in the Supermembrane Theory compactified on a torus. Supermembrane theory realize S, T, so U-duality, as exact symmetries of the theory. There are two well defined sectors: with and without central charges. Both sectors have the SL(2,Z)xZ2 U-duality group in 9D as a symmetry of the theory, but the supermembrane with central charges, also exhibits an extra SL(2,Z) symmetry of the theory associated to the diffeomorphisms not connected with the identity changing the homology basis. The Z2 symmetry is T-duality transformation that acts on the supermembrane and generalize that of the string. This T-duality transformation acts locally and also globally on the supermembrane theory. It has a natural description in terms of the cohomology of the base manifold and the homology of the target torus. When only string-like states are preserved, one recovers both type II string theories in 9D. If one also consider properly limit of the T-duality transformation characterizing the supermembrane, the usual closed string T-duality transformation between the type IIA and type IIB mass operators is recovered.