Interacting Supergravity in Ten-Dimensions: The Role of the Six-Index Gauge Field

We construct the interaction of supergravity with Yang-Mills supersymmetry in 10 dimensions. The formulation is only possible with the use of a six-index antisymmetric gauge field in place of the familiar two-index field in the supergravity sector. We are interested in breaking supersymmetry and thus apply the generalized dimensional reduction. The nonpropagating field strength Fμνρσαβγ plays a vital role in making the scalar potential nontrivial. It would be possible to test the predictions of this model once the internal-symmetry group is specified and solutions of the potential minima are obtained.

supersymmetry
gauge field theory: Yang-Mills
symmetry breaking
model: potential
dimension: 10
dimensional reduction
field theory: tensor

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