Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-22
JHEP 0509 (2005) 035
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, LaTeX source, typos corrected
Scientific paper
10.1088/1126-6708/2005/09/035
We give the curvatures of the free differential algebra (FDA) of M--theory compactified to D=4 on a twisted seven--torus with the 4--form flux switched on. Two formulations are given, depending on whether the 1--form field strengths of the scalar fields (originating from the 3--form gauge field $\hat{A}^{(3)}$) are included or not in the FDA. We also give the bosonic equations of motion and discuss at length the scalar potential which emerges in this type of compactifications. For flat groups we show the equivalence of this potential with a dual formulation of the theory which has the full $\rE_{7(7)}$ symmetry.
D'Auria Riccardo
Ferrara Sergio
Trigiante Mario
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