1203.2767 (M. P. Garcia del Moral et al.)

Supermembrane origin of type II gauged supergravities in 9D    [PDF]

M. P. Garcia del Moral, J. M. Pena, A. Restuccia

We find that the M-theory origin of the IIB gauged supergravities in nine dimensions, classified according to the inequivalent classes of monodromy, corresponds to the global description of the supermembrane with central charges due to an irreducible wrapping. The global description is a realization of the sculpting mechanism of gauging (arXiv:1107.3255) and it is associated to particular deformation of fibrations. For the case of the supermembrane it corresponds to the inequivalent classes of symplectic torus bundles with monodromies SL(2,Z). The gauging of the trombone symmetry appears as a inequivalent class of symplectic torus fibration where the nonlinear realization of the SL(2,Z) symmetry modifies the homology basis of the fibered torus. The supermembrane exhibits invariance under T-duality. We find the explicit T-duality transformation realized in the supermembrane theory. It has a natural interpretation in terms of the cohomology of the base manifold and the homology of the target torus. We conjecture that this construction also holds for the IIA origin of gauged supergravities in 9D such that the supermembrane becomes the origin of all type II supergravities in 9D. The geometric structure of the symplectic torus bundle goes beyond the classification on conjugated classes of SL(2,Z). In the cases of torus fibrations with torsion, an extra restriction on the possible quantized values of the charges appears.

View original: http://arxiv.org/abs/1203.2767