2019/04/30 by Parinya Karndumri, Patharadanai Nuchino · 8 citations
Mathematics · Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Embedding #Gauge group #Gauge theory #Gauged supergravity #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Supergravity #Supersymmetry #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1140/epjc/s10052-019-7168-7
published in The European Physical Journal C 79(8) (Springer Science+Business Media) · 38 pages, no figures, typos corrected and references added
openalex publication_date 2019/08/01 · arxiv created 2019/08/02 · arxiv updated 2019/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We give a large class of supersymmetric domain walls in maximal seven-dimensional gauged supergravity with various types of gauge groups. Gaugings are described by components of the embedding tensor transforming in representations \mathbf 15 and \mathbf 40 of the global symmetry SL(5). The embedding tensor in \mathbf 15 representation leads to CSO(p,q,5-p-q) gauge groups while gaugings in \mathbf 40 representation describes CSO(p,q,4-p-q) gauge groups. These gaugings admit half-supersymmetric domain walls as vacuum solutions. On the other hand, gaugings involving both \mathbf 15 and \mathbf 40 components lead to (1)/(4) -supersymmetric domain walls. In this case, the gauge groups under consideration are SO(2,1)\ltimes \mathbf R4 and CSO(2,0,2)∼ SO(2)\ltimes \mathbf R4 . All of the domain wall solutions are analytically obtained. For SO(5) gauge group, the gauged supergravity admits an N=4 supersymmetric AdS7 vacuum dual to N=(2,0) SCFT in six dimensions. The corresponding domain walls can be interpreted as holographic RG flows from the N=(2,0) SCFT to non-conformal N=(2,0) field theories in the IR. The solutions can be uplifted to eleven dimensions by using a truncation ansatz on S4 . Furthermore, the gauged supergravity with CSO(4,0,1)∼ SO(4)\ltimes \mathbf R4 gauge group can be embedded in type IIA theory via a truncation on S3 . The uplifted domain walls, describing NS5-branes of type IIA theory, are also given.