Abstract
We construct a consistent reduction ansatz of eleven-dimensional supergravity to $N=2$ $SO(4)$ seven-dimensional gauged supergravity with topological mass term for the three-form field. The ansatz is obtained from a truncation of the $S^4$ reduction giving rise to the maximal $N=4$ $SO(5)$ gauged supergravity. Therefore, the consistency is guaranteed by the consistency of the $S^4$ reduction. Unlike the gauged supergravity without topological mass having a half-supersymmetric domain wall vacuum, the resulting 7D gauged supergravity theory admits a maximally supersymmetric $AdS_7$ critical point. This corresponds to $N=(1,0)$ superconformal field theory in six dimensions. We also study RG flows from this $N=(1,0)$ SCFT to non-conformal $N=(1,0)$ Super Yang-Mills theories in the seven-dimensional framework and use the reduction ansatz to uplift this RG flow to eleven dimensions.
Highlights
JHEP11(2014)063 topological mass term for the three-form field, and the resulting theory does not admit AdS7 vacuum solutions
The ansatz is obtained from a truncation of the S4 reduction giving rise to the maximal N = 4 SO(5) gauged supergravity
We study RG flows from this N = (1, 0) SCFT to non-conformal N = (1, 0) Super Yang-Mills theories in the seven-dimensional framework and use the reduction ansatz to uplift this RG flow to eleven dimensions
Summary
We will use the reduction ansatz obtained in the previous section to uplift some seven-dimensional solutions. The dimensional reduction gives rise to the condition g2 = g1. This makes the supersymmetric AdS7 critical point with SO(3)diag symmetry found in [16] disappears. The flow solution given in [16] cannot be uplifted to eleven dimensions with the present reduction ansatz. To give examples of the uplifted solutions, we will study other solutions in the case of g2 = g1
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