2014/11/30 by Parinya Karndumri · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1007/jhep02(2015)034
published as JHEP02 (2015) 034 · 24 pages, 2 figures, typos corrected and a reference added
openalex publication_date 2015/02/01 · arxiv created 2015/02/02 · arxiv updated 2015/02/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31
Half-maximal gauged supergravity in seven dimensions coupled to n vector multiplets contains n + 3 vectors and 3n + 1 scalars parametrized by ℝ+× SO(3,n)/SO(3)× SO(n) 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), SL(3,ℝ) , 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 SL(3,ℝ) 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.