Type II Actions from 11-Dimensional Chern-Simons Theories

Details Type II Actions from 11-Dimensional Chern-Simons Theories Type II Actions from 11-Dimensional Chern-Simons Theories

2006-11-02

arxiv.org/abs/hep-th/0611020v1

Physics

High Energy Physics

High Energy Physics - Theory

60 pages; 7 figures; LaTeX

Scientific paper

This paper continues the discussion of hep-th/0605038, applying the holographic formulation of self-dual theory to the Ramond-Ramond fields of type II supergravity. We formulate the RR partition function, in the presence of nontrivial H-fields, in terms of the wavefunction of an 11-dimensional Chern-Simons theory. Using the methods of hep-th/0605038 we show how to formulate an action principle for the RR fields of both type IIA and type IIB supergravity, in the presence of RR current. We find a new topological restriction on consistent backgrounds of type IIA supergravity, namely the fourth Wu class must have a lift to the H-twisted cohomology.

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