An E7 Surprise

2012/09/06 by Tudor Dimofte, Davide Gaiotto · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1007/jhep10(2012)129

27 pages

arxiv created 2012/09/06 · openalex publication_date 2012/10/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We explore some curious implications of Seiberg duality for an SU(2) four-dimensional gauge theory with eight chiral doublets. We argue that two copies of the theory can be deformed by an exactly marginal quartic superpotential so that they acquire an enhanced E7 flavor symmetry. We argue that a single copy of the theory can be used to define an E7-invariant superconformal boundary condition for a theory of 28 five-dimensional free hypermultiplets. Finally, we derive similar statements for three-dimensional gauge theories such as an SU(2) gauge theory with six chiral doublets or Nf=4 SQED.

Citations

• Generalized Superconformal Index for Three Dimensional Field Theories
• Calculating the Superconformal Index and Seiberg Duality
• S-duality and 2d topological QFT
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• 6j symbols for the modular double, quantum hyperbolic geometry, and supersymmetric gauge theories
• 3-Manifolds and 3d Indices
• Transformations of elliptic hypergometric integrals
• 6j Symbols for the Modular Double, Quantum Hyperbolic Geometry, and Supersymmetric Gauge Theories

Cited by

• (2,2) and (0,4) supersymmetric boundary conditions in 3d N=4 theories and type IIB branes
• 3d N=2 dualities for SU(N_c)× U(1) Chern-Simons gauge theories
• The supersymmetric index in four dimensions *
• E8 orbits of IR dualities
• Infrared computations of defect Schur indices