Baxter'sT-Q equation, SU( N)/SU(2) N - 3 correspondence and Omega-deformed Seiberg-Witten prepotential

Journal of High Energy Physics (Impact Factor: 5.62). 01/2011; 9. DOI: 10.1007/JHEP09(2011)125

ABSTRACT 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 is found. That is, two kinds of 4D {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 = 2 N 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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