Supersymmetric gauge theory on curved 7-branes

Autor: Daniël Prins
Přispěvatelé: Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
Rok vydání: 2018
Předmět:
Zdroj: Fortsch.Phys.
Fortsch.Phys., 2019, 67 (5), pp.1900009. ⟨10.1002/prop.201900009⟩
Fortschritte der Physik
DOI: 10.48550/arxiv.1812.05349
Popis: We construct novel $7d$ supersymmetric gauge theories which include a Chern-Simons-like term on curved spaces. In order to so, we examine the supersymmetry constraints for E7-branes in type IIA$^*$ theory, rather than making use of an off-shell supergravity. We find two classes of solutions to the constraints, expressed in terms of a $G_2$-structure with non-vanishing intrinsic torsion. The supersymmetric gauge theories are then obtained by coupling flat gauge theory to such supersymmetric backgrounds. Various examples are given, including round and squashed $S^7$ as well as $S^3 \times M_4$ with $M_4$ hyperk\"{a}hler.
Comment: 32 pages. v2: Added off-shell formulation. Updated references, minor corrections
Databáze: OpenAIRE