SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles

Abstract

We give the explicit formulation of the 11D supermembrane as a symplectic torus bundle with non trivial monodromy and non vanishing Euler class. This construction allows a classification of all supermembranes showing explicitly the discrete SL(2,Z) symmetries associated to dualities. It hints as the origin in M-theory of the gauging of the effective theories associated to string theories.

13 pages, Latex

References in corpus (14)

• Generalised Geometry for M-Theory
• Lectures on Gauged Supergravity and Flux Compactifications
• Generalised T-Duality and Non-Geometric Backgrounds
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Flux Compactifications of M-Theory on Twisted Tori
• Flux compactifications, twisted tori and doubled geometry
• Spectral properties in supersymmetric matrix models
• D-branes in T-fold conformal field theory
• The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition
• M-branes on U-folds
• Nonperturbative SL(2,Z) (p,q)-strings manifestly realized on the quantum M2
• Symplectic torus bundles and group extensions
• N=1 4D Supermembrane from 11D
• Existence of symplectic structures on torus bundles over surfaces

Cited by in corpus (10)

• Supermembrane origin of type II gauged supergravities in 9D
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• The Massive Supermembrane on a Knot
• T-duality Invariance of the Supermembrane
• Type IIB parabolic ($p,q$)-strings from M2-branes with fluxes
• A New Mechanism for Gauging a Theory
• On the Geometry of Sculpting-like Gauging Processes
• Aspects of the T-duality construction for the Supermembrane theory
• D2-brane with RR and NSNS fluxes and its dual M-theory origin
• On global aspects of duality invariant theories: M2-brane vs DFT