Wronskian solutions of the T-, Q- and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra image Original Research Article

In (Z. Tsuboi, Nucl. Phys. B 826 (2010) 399, ), we proposed Wronskian-like solutions of the T-system for image-hook of the general linear superalgebra image. We have generalized these Wronskian-like solutions to the ones for the general T-hook, which is a union of image-hook and image-hook (image, image). These solutions are related to Weyl-type supercharacter formulas of infinite dimensional unitarizable modules of image. Our solutions also include a Wronskian-like solution discussed in (N. Gromov, V. Kazakov, S. Leurent, Z. Tsuboi, JHEP 1101 (2011) 155, ) in relation to the image spectral problem.