Abstract
Half-maximal gauged supergravity in seven dimensions coupled to n vector multiplets contains n + 3 vectors and 3n + 1 scalars parametrized by \( {\mathbb{R}}^{+}\times \mathrm{SO}\left(3,\mathrm{n}\right)/\mathrm{SO}(3)\times \mathrm{SO}\left(\mathrm{n}\right) \) coset manifold. The two-form field in the gravity multiplet can be dualized to a three-form field which admits a topological mass term. Possible non-compact gauge groups take the form of G 0 × H ⊂ SO(3, n) with a compact group H. G 0 is one of the five possibilities; SO(3, 1), \( \mathrm{S}\mathrm{L}\left(3,\mathbb{R}\right) \), SO(2, 2), SO(2, 1) and SO(2, 2) × SO(2, 1). We investigate all of these possible non-compact gauge groups and classify their vacua. Unlike the gauged supergravity without a topological mass term, there are new supersymmetric AdS 7 vacua in the SO(3, 1) and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{R}\right) \) gaugings. These correspond to new N = (1, 0) superconformal field theories (SCFT) in six dimensions. Additionally, we find a class of AdS 5 × S 2 and AdS 5 × H 2 backgrounds with SO(2) and SO(2)×SO(2) symmetries. These should correspond to N = 1 SCFTs in four dimensions obtained from twisted compactifications of six-dimensional field theories on S 2 or H 2. We also study RG flows from six-dimensional N = (1, 0) SCFT to N =1 SCFT in four dimensions and RG flows from a four-dimensional N =1 SCFT to a six-dimensional SYM in the IR. The former are driven by a vacuum expectation value of a dimension-four operator dual to the supergravity dilaton while the latter are driven by vacuum expectation values of marginal operators.
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ArXiv ePrint: 1411.4542
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Karndumri, P. Noncompact gauging of N=2 7D supergravity and AdS/CFT holography. J. High Energ. Phys. 2015, 34 (2015). https://doi.org/10.1007/JHEP02(2015)034
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DOI: https://doi.org/10.1007/JHEP02(2015)034