Superspin chains from superstring theory

Ishtiaque, Nafiz; Moosavian, Seyed Faroogh; Raghavendran, Surya; Yagi, Junya

doi:10.21468/SciPostPhys.13.4.083

SciPost Physics

Superspin chains from superstring theory

Nafiz Ishtiaque, Seyed Faroogh Moosavian, Surya Raghavendran, Junya Yagi

SciPost Phys. 13, 083 (2022) · published 5 October 2022

doi: 10.21468/SciPostPhys.13.4.083
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Abstract

We present a correspondence between two-dimensional N=(2,2) supersymmetric gauge theories and rational integrable 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). 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 gl(m|n) spin chains with spins valued in finite-dimensional representations.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.4.083
TI  - Superspin chains from superstring theory
PY  - 2022/10/05
UR  - https://scipost.org/SciPostPhys.13.4.083
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 4
SP  - 083
A1  - Ishtiaque, Nafiz
AU  - Moosavian, Seyed Faroogh
AU  - Raghavendran, Surya
AU  - Yagi, Junya
AB  - We present a correspondence between two-dimensional N=(2,2) supersymmetric gauge theories and rational integrable 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). 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 gl(m|n) spin chains with spins valued in finite-dimensional representations.
ER  -

@Article{10.21468/SciPostPhys.13.4.083,
	title={{Superspin chains from superstring theory}},
	author={Nafiz Ishtiaque and Seyed Faroogh Moosavian and Surya Raghavendran and Junya Yagi},
	journal={SciPost Phys.},
	volume={13},
	pages={083},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.4.083},
	url={https://scipost.org/10.21468/SciPostPhys.13.4.083},
}

Cited by 10

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¹ Nafiz Ishtiaque,
² Seyed Faroogh Moosavian,
³ Surya Raghavendran,
⁴ Junya Yagi

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