An E7 Surprise

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.

27 pages

References in corpus (7)

• 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
• Seiberg-Witten Theories on Ellipsoids
• Generalized Superconformal Index for Three Dimensional Field Theories
• Superconformal indices for N=1 theories with multiple duals
• Calculating the Superconformal Index and Seiberg Duality
• Transformations of elliptic hypergometric integrals

Cited by in corpus (58)

• Holomorphic Blocks in Three Dimensions
• Boundary and Interface CFTs from the Conformal Bootstrap
• Defects in conformal field theory
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• On Three Dimensional Quiver Gauge Theories and Integrability
• Boundaries, Mirror Symmetry, and Symplectic Duality in 3d $\mathcal{N}=4$ Gauge Theory
• Infrared Computations of Defect Schur Indices
• SUSY monopole potentials in 2+1 dimensions
• New N=1 Dualities
• E-String Theory on Riemann Surfaces
• Line and surface defects for the free scalar field
• The supersymmetric index in four dimensions
• Rank $Q$ E-string on a torus with flux
• Bootstrapping boundary-localized interactions
• Surface Defect, Anomalies and $b$-Extremization
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Duality walls and defects in 5d N=1 theories
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• Defect $a$-Theorem and $a$-Maximization
• Bootstrapping boundary-localized interactions II: Minimal models at the boundary
• Boundary F-maximization
• The star-triangle relation and 3d superconformal indices
• A tale of exceptional 3d dualities
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• Vanishing superconformal indices and the chiral symmetry breaking
• N=1 theories of class S_k
• Supersymmetric Indices of 3d S-fold SCFTs
• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
• (2,2) and (0,4) Supersymmetric Boundary Conditions in 3d N = 4 Theories and Type IIB Branes
• A new pentagon identity for the tetrahedron index
• Curious patterns of IR symmetry enhancement
• Dualities from dualities: the sequential deconfinement technique
• Between symmetry and duality in supersymmetric QFT
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Extended global symmetries for 4d N=1 SQCD theories
• Refined 3d-3d Correspondence
• Flips, dualities and symmetry enhancements
• Symmetry enhancement in RCFT
• E_8 orbits of IR dualities
• Supersymmetric Casimir Energy and $\mathrm{SL}(3,\mathbb{Z})$ Transformations
• New 3d $\mathcal{N}=2$ Dualities from Quadratic Monopoles
• Mathematical structures behind supersymmetric dualities
• Duality and Confinement in 3d $\mathcal{N}=2$ "chiral" $SU(N)$ gauge theories
• 3d $\mathcal{N}=2$ dualities for $SU(N_c)\times U(1)$ Chern-Simons gauge theories
• (Delta a) curiosities in some 4d susy RG flows
• Branes, partition functions and quadratic monopole superpotentials
• Lectures on 4d N=1 dynamics and related topics
• Abelian mirror symmetry of $\mathcal{N}=(2,2)$ boundary conditions
• S-duality wall of SQCD from Toda braiding
• Modified elliptic gamma functions and 6d superconformal indices
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Hyperbolic and trigonometric hypergeometric solutions to the star-star equation
• 3d Self-Dualities
• Superconformal indices, Seiberg dualities and special functions
• Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• On Bailey pairs for $\mathcal{N}=2$ supersymmetric gauge theories on $S_b^3/{\mathbb{Z}}_r$
• Local Operators from the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Aspects of 4d supersymmetric dynamics and geometry