Wronskian solutions of the T-, Q- and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)

In . [1] (Z. Tsuboi, Nucl. Phys. B 826 (2010) 399, . arXiv:0906.2039), we proposed Wronskian-like solutions of the T-system for . [M,N]-hook of the general linear superalgebra . gl(M|N). We have generalized these Wronskian-like solutions to the ones for the general T-hook, which is a union of . [M1,N1]-hook and . [M2,N2]-hook (. M=M1+M2, . N=N1+N2). These solutions are related to Weyl-type supercharacter formulas of infinite dimensional unitarizable modules of . gl(M|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 . AdS5/CFT4 spectral problem.