Extended global symmetries for 4d N=1 SQCD theories

Abstract

In arXiv:0811.1909 Spiridonov and Vartanov, using the superconformal index technique, found that 4-dimensional N=1 SQCD theory with SU(2) gauge group and four flavors has 72 dual representations. Recently in arXiv:1209.1404 the authors showed that these dual theories, when coupled to 5d hypermultiplets with specific boundary conditions have an extended E_7 global symmetry. In this work we find that for a reduced theory with 3 flavors the explicit SU(6) global symmetry is enhanced to an E_6 symmetry in the presence of 5d hypermultiplets. We also show connections between indices of different theories in 3 and 4 dimensions.

12 pages. V2: misprints corrected

References in corpus (6)

• Notes on SUSY Gauge Theories on Three-Sphere
• Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Superconformal indices for N=1 theories with multiple duals
• An E7 Surprise

Cited by in corpus (11)

• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• The star-triangle relation, lens partition function, and hypergeometric sum/integrals
• The star-triangle relation and 3d superconformal indices
• Vanishing superconformal indices and the chiral symmetry breaking
• A new pentagon identity for the tetrahedron index
• Basic hypergeometry of supersymmetric dualities
• Between symmetry and duality in supersymmetric QFT
• Integrable lattice spin models from supersymmetric dualities
• Mathematical structures behind supersymmetric dualities
• Integral pentagon relations for 3d superconformal indices
• Lens partition function, pentagon identity and star-triangle relation