A proof of selection rules for critical dense polymers
(2011) Journal of Physics A: Mathematical and Theoretical — Vol. 44, n° 495003, p. 1-32 (2011)
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- Abstract
- Among the lattice loop models defined by Pearce, Rasmussen and Zuber (2006), the model corresponding to critical dense polymers (β=0) is the only one for which an inversion relation for the transfer matrix D_N(u) was found by Pearce and Rasmussen (2007). From this result, they identified the set of possible eigenvalues for D_N(u) and gave a conjecture for the degeneracies of its relevant eigenvalues in the link representation, in the sector with d defects. In this paper, we set out to prove this conjecture, using the homomorphism of the TL_N(β) algebra between the loop model link representation and that of the XXZ model for β=−(q+q−1).
- Affiliations
Université de Montréal Département de physique
Citations
Morin Duchesne, A. (2011). A proof of selection rules for critical dense polymers. Journal of Physics A: Mathematical and Theoretical, 44(495003), 1-32. https://doi.org/10.1088/1751-8113/44/49/495003 (Original work published 2011)