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Surface defects as transfer matrices
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DOI：10.1093/ptep/ptw151.png)
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Abstract
En 中文
The supersymmetric index of the 4D N = 1 theory realized by a brane tiling coincides with the partition function of an integrable 2D lattice model. We argue that a class of half-BPS surface defects in brane tiling models are represented on the lattice model side by transfer matrices constructed from L-operators. For the simplest surface defects in theories with SU(2) flavor groups, we identify the relevant L-operator as that discovered by Sklyanin in the context of the eight-vertex model. We verify this identification by computing the indices of class-S and -Sk theories in the presence of the surface defects.
Keywords:
YANG-BAXTER EQUATION
ELLIPTIC BETA-INTEGRALS
RG FIXED-POINTS
GAUGE-THEORIES
5D SYM
OPERATORS
SYSTEMS
MODELS
BRANES
INDEX
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