Integrability from 2d ${\mathcal{N}}=(2,2)$ dualities

Yamazaki, Masahito; Yan, Wenbin

doi:10.1088/1751-8113/48/39/394001

Integrability from 2d ${\mathcal{N}}=(2,2)$ dualities

Masahito Yamazaki
(
- Princeton, Inst. Advanced Study and
- Tokyo U., IPMU
)
,
Wenbin Yan
(
- Caltech
)

Apr 21, 2015

26 pages

Published in:

J.Phys.A 48 (2015) 394001

Published: Sep 1, 2015

e-Print:

1504.05540 [hep-th]

DOI:

10.1088/1751-8113/48/39/394001

Report number:

IPMU15-0051,
CALT-TH-2015-022

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Abstract: (IOP)

We study integrable models in the context of the recently discovered Gauge/YBE correspondence, where the Yang–Baxter equation (YBE) is promoted to a duality between two supersymmetric gauge theories. We study flavored elliptic genus of 2d

{\mathcal{N}}=(2,2)

quiver gauge theories, which are defined from statistical lattices regarded as quiver diagrams. Our R-matrices are written in terms of theta functions and simplify considerably when the gauge groups at the quiver nodes are Abelian. We also discuss the modularity properties of the R-matrix, reduction of 2d index to 1d Witten index, and string theory realizations of our theories.

Note:

30 pages, 8 figures

2d supersymmetry
susy field theory
Yang–Baxter equation
gauge field theory: quiver
model: integrability
R-matrix
duality
Yang-Baxter equation
string model
Witten index

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Integrability from 2d N=(2,2){\mathcal{N}}=(2,2)N=(2,2) dualities

Citations per year

Integrability from 2d ${\mathcal{N}}=(2,2)$ dualities