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Seminars & Lectures

* TITLE

Exact Solution and Physical Combinatorics of Critical Dense

* SPEAKERS

Name	Affiliation	E-mail
Paul A. Pearce	Univ. of Melbourne	sec(at)apctp.org

* HOST(Applicant)

Name	Affiliation	E-mail
-

* DATE / TIME

2008-06-23, 02:00 p.m.

* PLACE

APCTP Headquarters, Pohang

* ABSTRACT

A Yang-Baxter integrable model of critical dense polymers on the
square lattice
is introduced corresponding to the first member LM(1,2) of a family of
logarithmic
minimal models. The model has no local degrees of freedom, only non-
local degrees
of freedom in the form of extended polymers. The model is built
diagrammatically using the
planar Temperley-Lieb algebra and solved exactly on finite width
strips using transfer matrix
techniques. The bulk and boundary free energies and finite-size
corrections are
obtained from the Euler-Maclaurin formula. The spectra are classified
by selection rules and
the physical combinatorics of the eigenvalue patterns of zeros in the
complex
spectral-parameter plane. This yields explicit finitized conformal
characters.
In particular, in the scaling limit, we confirm the central charge c =
-2 and conformal weights
Delta_{1,s}=((2-s)^2-1)/8 for s=1,2,3,... where s-1 is the number of
defects.

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