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Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
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Two solutions of the T-Q equation and Gauge theory N. A. Nekrasovab a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow b Simons Center for Geometry and Physics, Stony Brook University |
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Abstract: The celebrated T-Q equation, in the A_{1} case, is a second order linear difference equation on the eigenvalues of the Baxter Q-operator. It has, accordingly, two linearly independent (over the quasi-constants) solutions. I will present the gauge theoretic construction of these solutions, using the recently proposed gauge origami models, which will be also reviewed. |