%0 Book Section %1 statphys23_0301 %A Pearce, P.A. %A Rasmussen, J. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K exactly lattice models polymers solvable statphys23 topic-1 %T Solvable Critical Dense Polymers %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=301 %X A lattice model of critical dense polymers is solved exactly for finite strips. The key to the solution is a functional equation in the form of an inversion identity satisfied by the commuting double-row transfer matrices. This is established directly in the planar Temperley-Lieb algebra and holds independently of the space of link states on which the transfer matrices act. Different sectors are obtained by acting on link states with $s-1$ defects where $s=1,2,3,łdots$ is an extended Kac label. The bulk and boundary free energies and finite-size corrections are obtained from the Euler-Maclaurin formula. In particular, in the scaling limit, we confirm the central charge $c=-2$ and conformal weights $\Delta_s=(2-s)^2-18$ for $s=1,2,3,łdots$.

@incollection{statphys23_0301, abstract = {A lattice model of critical dense polymers is solved exactly for finite strips. The key to the solution is a functional equation in the form of an inversion identity satisfied by the commuting double-row transfer matrices. This is established directly in the planar Temperley-Lieb algebra and holds independently of the space of link states on which the transfer matrices act. Different sectors are obtained by acting on link states with $s-1$ defects where $s=1,2,3,\ldots$ is an extended Kac label. The bulk and boundary free energies and finite-size corrections are obtained from the Euler-Maclaurin formula. In particular, in the scaling limit, we confirm the central charge $c=-2$ and conformal weights $\Delta_{s}=\frac{(2-s)^2-1}{8}$ for $s=1,2,3,\ldots$.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Pearce, P.A. and Rasmussen, J.}, biburl = {https://www.bibsonomy.org/bibtex/2f6909fb2268e7d7d1b8c98dc2113df8b/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {5a3b29ccbe3f5292279731c3bf71a08e}, intrahash = {f6909fb2268e7d7d1b8c98dc2113df8b}, keywords = {exactly lattice models polymers solvable statphys23 topic-1}, month = {9-13 July}, timestamp = {2007-06-20T10:16:16.000+0200}, title = {Solvable Critical Dense Polymers}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=301}, year = 2007 }