Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential

Details Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential

2011-07-19

arxiv.org/abs/1107.3756v5

JHEP 1109:125,2011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 figures; v3: a mistaken upload; v4: a typo in arXiv title corrected (SU(N)=SU(2)^{N-3}---->SU(N)/SU(2)^{N-3}); v5:

Scientific paper

10.1007/JHEP09(2011)125

We study Baxter's T-Q equation of XXX spin-chain models under the semiclassical limit where an intriguing SU(N)/SU(2)^{N-3} correspondence emerges. That is, two kinds of 4D \mathcal{N}=2 superconformal field theories having the above different gauge groups are encoded simultaneously in one Baxter's T-Q equation which captures their spectral curves. For example, while one is SU(N_c) with N_f=2N_c flavors the other turns out to be SU(2)^{N_c-3} with N_c hyper-multiplets (N_c > 3). It is seen that the corresponding Seiberg-Witten differential supports our proposal.

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