Affiliation:
1. Institute for Advanced Study
2. McGill University
3. Perimeter Institute
4. Tsinghua University
Abstract
We present a correspondence between two-dimensional
\mathcal{N} = (2,2)𝒩=(2,2)
supersymmetric gauge theories and rational integrable
\mathfrak{gl}(m|n)𝔤𝔩(m|n)
spin chains with spin variables taking values in Verma modules. To
explain this correspondence, we realize the gauge theories as
configurations of branes in string theory and map them by dualities to
brane configurations that realize line defects in four-dimensional
Chern–Simons theory with gauge group GL(m|n)GL(m|n).
The latter configurations embed the superspin chains into superstring
theory. We also provide a string theory derivation of a similar
correspondence, proposed by Nekrasov, for rational
\mathfrak{gl}(m|n)𝔤𝔩(m|n)
spin chains with spins valued in finite-dimensional representations.
Funder
Government of Canada
National Science Foundation
Natural Sciences and Engineering Research Council
Subject
General Physics and Astronomy
Cited by
7 articles.
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