Physics – Mathematical Physics
Scientific paper
2009-06-11
Nucl.Phys.B826:399-455,2010
Physics
Mathematical Physics
70 pages; v2: one figure and a few sentences are added to the introduction; v3: a reference added
Scientific paper
10.1016/j.nuclphysb.2009.08.009
We propose Wronskian-like determinant formulae for the Baxter Q-functions and the eigenvalues of transfer matrices for spin chains related to the quantum affine superalgebra U_{q}(hat{gl}(M|N)). In contrast to the supersymmetric Bazhanov-Reshetikhin formula (the quantum supersymmetric Jacobi-Trudi formula) proposed in [Z. Tsuboi, J. Phys. A: Math. Gen. 30 (1997) 7975], the size of the matrices of these Wronskian-like formulae is less than or equal to M+N. Base on these formulae, we give new expressions of the solutions of the T-system (fusion relations for transfer matrices) for supersymmetric spin chains proposed in the abovementioned paper. Baxter equations also follow from the Wronskian-like formulae. They are finite order linear difference equations with respect to the Baxter Q-functions. Moreover, the Wronskian-like formulae also explicitly solve the functional relations for Backlund flows proposed in [V. Kazakov, A. Sorin, A. Zabrodin, Nucl. Phys. B790 (2008) 345 [arXiv:hep-th/0703147]].
No associations
LandOfFree
Solutions of the T-system and Baxter equations for supersymmetric spin chains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Solutions of the T-system and Baxter equations for supersymmetric spin chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solutions of the T-system and Baxter equations for supersymmetric spin chains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-516228