Flavored surface defects in 4d N=1 SCFTs

Abstract

We discuss supersymmetric surface defects in compactifications of six dimensional minimal conformal matter of type SU(3) and SO(8) to four dimensions. The relevant field theories in four dimensions are N=1 quiver gauge theories with SU(3) and SU(4) gauge groups respectively. The defects are engineered by giving space-time dependent vacuum expectation values to baryonic operators. We find evidence that in the case of SU(3) minimal conformal matter the defects carry SU(2) flavor symmetry which is not a symmetry of the four dimensional model. The simplest case of a model in this class is SU(3) SQCD with nine flavors and thus the results suggest that this admits natural surface defects with SU(2) flavor symmetry. We analyze the defects using the superconformal index and derive analytic difference operators introducing the defects into the index computation. The duality properties of the four dimensional theories imply that the index of the models is a kernel function for such difference operators. In turn, checking the kernel property constitutes an independent check of the dualities and the dictionary between six dimensional compactifications and four dimensional models.

19 pages, six figures, harvmac

References in corpus (2)

• Compactification of 6d minimal SCFTs on Riemann surfaces
• Defect multiplets of N=1 supersymmetry in 4d

Cited by in corpus (13)

• Superconformal surfaces in four dimensions
• Surface Defect, Anomalies and $b$-Extremization
• On matrix models and their $q$-deformations
• A slow review of the AGT correspondence
• Minimal $(D,D)$ conformal matter and generalizations of the van Diejen model
• Weakly coupled conformal manifolds in 4d
• Elliptic Quantum Curves of 6d SO(N) theories
• An infrared bootstrap of the Schur index with surface defects
• $C_2$ generalization of the van Diejen model from the minimal $(D_5,D_5)$ conformal matter
• On Razamat's $A_2$ and $A_3$ kernel identities
• Deconstructing Defects
• Ground state wavefunctions of elliptic relativistic integrable Hamiltonians
• Aspects of 4d supersymmetric dynamics and geometry