Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-07-19
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.
Muneyuki Kenji
Tai Ta-Sheng
Yonezawa Nobuhiro
Yoshioka Reiji
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