2017/09/30 by Shlomo S. Razamat, Gabi Zafrir
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Antisymmetric relation #Antisymmetric tensor #Black Holes and Theoretical Physics #Coupling (piping) #Dual polyhedron #Duality (order theory) #Field (mathematics) #Field theory (psychology) #Group (periodic table) #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep11(2017)115
15 pages, harvmac. v2: added references
openalex created_date 2017/09/25 · arxiv created 2017/10/26 · openalex publication_date 2017/11/01 · arxiv updated 2017/12/06 · openalex updated_date 2026/08/05
A bstract We discuss USp(2 n ) supersymmetric models with eight fundamental fields and a field in the antisymmetric representation. Turning on the most generic superpotentials, coupling pairs of fundamental fields to powers of the antisymmetric field while preserving an R symmetry, we give evidence for the statement that the models are connected by a large network of dualities which can be organized into orbits of the Weyl group of E 8 . We make also several curious observations about such models. In particular, we argue that a USp(2 m ) model with the addition of singlet fields and even rank m flows in the IR to a CFT with E 7 × U(1) symmetry. We also discuss an infinite number of duals for the USp(2) theory with eight fundamentals and no superpotential.