TY - JOUR

T1 - Wronskian solutions of the T-, Q- and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)

AU - Tsuboi, Zengo

PY - 2013/5/1

Y1 - 2013/5/1

N2 - 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.

AB - 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.

KW - Baxter Q-operator

KW - Infinite dimensional representation

KW - Integrable model

KW - Superalgebra

KW - Supercharacter

KW - T-system

UR - http://www.scopus.com/inward/record.url?scp=84875807680&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2013.01.007

DO - 10.1016/j.nuclphysb.2013.01.007

M3 - Article

SN - 0550-3213

VL - 870

SP - 92

EP - 137

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1

ER -