Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Proof of Selection Rules for Critical Dense Polymers   Among the lattice loop models defined by Pearce, Rasmussen and Zuber (2006),
the model corresponding to critical dense polymers ($\beta = 0$) 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 $TL_N (\beta)$ algebra between the loop model link
representation and that of the XXZ model for $\beta = -(q+q^{-1})$.

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The categories of this paper are: hep-ex
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th