# STRINGS, PATHS AND STANDARD TABLEAUX

@article{Dasmahapatra1998STRINGSPA, title={STRINGS, PATHS AND STANDARD TABLEAUX}, author={Srinandan Dasmahapatra and Omar Foda}, journal={International Journal of Modern Physics A}, year={1998}, volume={13}, pages={501-522} }

For the vacuum sectors of regime-III ABF models, we observe that two sets of combinatorial objects: the strings which parametrize the row-to-row transfer matrix eigenvectors, and the paths which parametrize the corner transfer matrix eigenvectors, can both be expressed in terms of the same set of standard tableaux. Furthermore, the momenta of the strings, the energies of the paths, and the charges of the tableaux are such that there is a weight-preserving bijection between the two sets of…

## 21 Citations

FROM CONFIGURATION SUMS AND FRACTIONAL-LEVEL STRING FUNCTIONS TO

- Mathematics
- 1999

In this paper it is shown that the one-dimensional configuration sums of the solvable lattice models of Andrews, Baxter and Forrester and the string functions associated with admissible…

Critical RSOS and minimal models: fermionic paths, Virasoro algebra and fields

- Physics
- 2002

Abstract A framework is presented to extend the finitized characters and recursion methods of (off-critical) corner transfer matrices (CTMs), in a self-consistent fashion, to the calculation of CFT…

Physical combinatorics and quasiparticles

- Physics, Mathematics
- 2009

We consider the physical combinatorics of critical lattice models and their
associated conformal field theories arising in the continuum scaling limit. As
examples, we consider A-type unitary minimal…

Conjugate Bailey pairs

- Mathematics
- 1999

In this paper it is shown that the one-dimensional configuration sums of the
solvable lattice models of Andrews, Baxter and Forrester and the string functions
associated with admissible…

Magnetic Configurations, Riggings, Bethe Ansatz and Robinson-Schensted-Knuth Algorithm

- Physics
- 2001

- dimensional Heinsenberg model of a magnet is considered. Ansatz approach. We provide here a combinatorial description of the following sets of interest: (i) the set of all magnetic configurations…

Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma

- Mathematics
- 2002

In this paper it is shown that the one-dimensional configuration sums of the solvable lattice models of Andrews, Baxter and Forrester and the string functions associated with admissible…

Remarks on Fermionic Formula

- Mathematics, Physics
- 1998

Fermionic formulae originate in the Bethe ansatz in solvable lattice models. They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients. We consider the…

Group Actions and Classification of Quantum States of the Heisenberg Model of Magnetism

- Physics
- 2001

The kinematics and dynamics of the Heisenberg model of magnetism is reviewed from the point of view of combinatorics. The general scheme of the duality of Weyl is presented at two levels: (i) the…

Melzer's identities revisited

- Mathematics, Physics
- 1998

We further develop the finite length path generating transforms introduced previously, and use them to obtain constant sign polynomial expressions that reduce, in the limit of infinite path lengths,…

Q A ] 3 D ec 1 99 8 Remarks on Fermionic Formula

- 1998

Fermionic formulae originate in the Bethe ansatz in solvable lattice models. They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients. We consider the…

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