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 -