Abstract
In [1, 2], Nekrasov applied the Bethe/Gauge correspondence to derive the \( \mathfrak{su} \) (2) XXX spin-chain coordinate Bethe wavefunction from the IR limit of a 20 \( \mathcal{N} \) = (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 \( \mathfrak{su} \) (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.
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ArXiv ePrint: 1907.00493
To Professor Tetsuji Miwa on his 70th birthday.
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Foda, O., Manabe, M. Nested coordinate Bethe wavefunctions from the Bethe/Gauge correspondence. J. High Energ. Phys. 2019, 36 (2019). https://doi.org/10.1007/JHEP11(2019)036
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DOI: https://doi.org/10.1007/JHEP11(2019)036