2002/09/12 by Hitoshi Nishino, Subhash Rajpoot · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Coset #Cosmology and Gravitation Theories #Field (mathematics) #Gauged supergravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.67.025009
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 67(2) (American Physical Society) · 18 pages, No figures
arxiv created 2002/09/12 · openalex publication_date 2003/01/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a topologically nontrivial generalization of gauged N=16 supergravity on the coset E8(+8)/SO(16) in three dimensions. This formulation is based on a combination of a BF term and a Chern-Simons term for an SO(16) gauge field A_\ensuremathμIJ. The fact that an additional vector field B_\ensuremathμIJ is physical and propagating with couplings to \ensuremathσ-model fields makes our new gauging nontrivial and different from the conventional one. Even though the field strength of the A_\ensuremathμIJ field vanishes on shell, the action is topologically nontrivial due to a nonvanishing \ensuremathπ3 homotopy. We also present additional modifications by an extra Chern-Simons term. As by-products, we give also an application to N=9 supergravity coupled to a \ensuremathσ model on the coset F_4(\ensuremath-20)/SO(9), and a new BF-Chern-Simons theory coupled to ^\ensuremath∀N extended supergravity.