$\mathcal{N}=3$ four dimensional field theories

Abstract

We briefly review a class of four dimensional $\mathcal{N}=3$ field theories constructed by taking a quotient of $\mathcal{N}=4$ SYM with gauge group $U(N)$. The quotient involves a discrete symmetry that only exists for specific, order one, values of the coupling constant, so the resulting theories are intrinsically strongly coupled. These theories admit a simple realization in string theory as the worldvolume theory of a stack of D3 branes probing a generalized orientifold plane, or S-fold. Their holographic dual is given by a non-trivial F-theory fibration over $Ad{S}_5\times S^5/{\mathbb{Z}}_k$ which is weakly curved but with the string coupling frozen at an order one value.

arXiv commentProceedings prepared for the "Workshop on Geometry and Physics", November 2016, Ringberg Castle, Germany

References in corpus (9)

• Infinite Chiral Symmetry in Four Dimensions
• N=3 four dimensional field theories
• S-folds and 4d N=3 superconformal field theories
• Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations
• Exceptional $\mathcal{N}=3$ theories
• Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
• Geometric constraints on the space of N=2 SCFTs II: Construction of special Kähler geometries and RG flows
• ABCD of 3d $\mathcal{N}=8$ and 4 Superconformal Field Theories
• Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs

Cited by in corpus (1)

• A note on 4d N = 3 from little string theory