Year: 2019
Type: article
Abstract: In [1, 2], Nekrasov applied the Bethe/Gauge correspondence to derive the $$ \mathfrak{su} $$ su (2) XXX spin-chain coordinate Bethe wavefunction from the IR limit of a 20 $$ \mathcal{N} $$ N = (2, 2) supersymmetric A1 quiver gauge theory with an orbifold-type codimension-2 defect. Later, Bullimore, Kim and Lukowski implemented Nekrasov’s construction at the level of the UV A1 quiver gauge theory, recovered his result, and obtained further extensions of the Bethe/Gauge correspondence [3]. In this work, we extend the construction of the defect to AM quiver gauge theories to obtain the $$ \mathfrak{su} $$ su (M + 1) XXX spin-chain nested coordinate Bethe wavefunctions. The extension to XXZ spin-chain is straightforward. Further, we apply a Higgsing procedure to obtain more general AM quivers and the corresponding wavefunctions, and interpret this procedure (and the Hanany-Witten moves that it involves) on the spin-chain side in terms of Izergin-Korepin-type specializations (and re-assignments) of the parameters of the coordinate Bethe wavefunctions.
Source: Journal of High Energy Physics
Authors: Omar Foda, Masahide Manabe
Institution: The University of Melbourne
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: Australian Research Council
OpenAlex ID: W2955329239