2009/04/30 by Changhyun Ahn, Kyungsung Woo · 13 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmological constant #Cosmology and Gravitation Theories #Gauged supergravity #Geometry #Higgs boson #Invariant (physics) #Mathematical physics #Particle physics #Physics #Pure mathematics #Scalar (mathematics) #Scalar field #Scalar potential #Submanifold #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1142/s0217751x10048251
published in International Journal of Modern Physics A 25(09), 1819-1851 (World Scientific) · 44p; the main text and appendices improved for compact presentation;the acknowledgments added and to appear in IJMPA
arxiv created 2009/12/23 · openalex publication_date 2010/04/10 · arxiv updated 2015/05/13 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We consider the most general SU(3) singlet space of gauged [Formula: see text] supergravity in four dimensions. The SU(3)-invariant six scalar fields in the theory can be viewed in terms of six real four-forms. By exponentiating these four-forms, we eventually obtain the new scalar potential. For the two extreme limits, we reproduce the previous results found by Warner in 1983. In particular, for the [Formula: see text] critical point, we find the constraint surface parametrized by three scalar fields on which the cosmological constant has the same value. We obtain the BPS domain-wall solutions for restricted scalar submanifold. We also describe the three-dimensional mass-deformed superconformal Chern–Simons matter theory dual to the above supersymmetric flows in four dimensions.