Journal
NUCLEAR PHYSICS B
Volume 870, Issue 1, Pages 92-137Publisher
ELSEVIER
DOI: 10.1016/j.nuclphysb.2013.01.007
Keywords
Baxter Q-operator; Infinite dimensional representation; Integrable model; Superalgebra; Supercharacter; T-system
Categories
Funding
- Nishina Memorial Foundation
- Ministry of Education, Culture, Sports, Science and Technology in Japan [19740244]
- [SFB647]
- Grants-in-Aid for Scientific Research [19740244] Funding Source: KAKEN
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In [1] (Z. Tsuboi, Nucl. Phys. B 826 (2010) 399, arXiv:0906.2039), we proposed Wronskian-like solutions of the T-system for [M, NI-hook of the general linear superalgebra gl(M vertical bar N). We have generalized these Wronskian-like solutions to the ones for the general T-hook, which is a union of [M-1, N-1]-hook and [M-2, N-2]-hook (M = M-1 + M-2, N = N-1 + N-2). These solutions are related to Weyl-type supercharacter formulas of infinite dimensional unitarizable modules of gl(M vertical bar N). Our solutions also include a Wronskian-like solution discussed in [2] (N. Gromov, V. Kazakov, S. Leurent, Z. Tsuboi, JHEP 1101 (2011) 155, arXiv:1010.2720) in relation to the AdS(5)/CFT4 spectral problem. (C) 2013 Elsevier B.V. All rights reserved.
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