On the combinatorics of row and corner transfer matrices of the A-(1)(n-1) restricted face models - INSPIRE

DataBETA

On the combinatorics of row and corner transfer matrices of the A-(1)(n-1) restricted face models

Srinandan Dasmahapatra
(
- London, City U.
)

Dec, 1995

36 pages

Published in:

Int.J.Mod.Phys.A 12 (1997) 3551-3586

e-Print:

hep-th/9512095 [hep-th]

DOI:

10.1142/S0217751X97001845

Report number:

CMPS-95-114

View in:

reference search8 citations

Citations per year

Abstract:

We establish a weight-preserving bijection between the index sets of the spectral data of row-to-row and corner transfer matrices for

U_q\widehat{sl(n)}

restricted interaction round a face (IRF) models. The evaluation of momenta by adding Takahashi integers in the spin chain language is shown to directly correspond to the computation of the energy of a path on the weight lattice in the two-dimensional model. As a consequence we derive fermionic forms of polynomial analogues of branching functions for the cosets

{(A~{(1)}_{n-1})_{\ell -1}\otimes (A~{(1)}_{n-1})_{1}} \over (A~{(1)}_{n-1})_{\ell}

, and establish a bosonic-fermionic polynomial identity.

References(38)

Figures(0)

Eight vertex SOS model and generalized Rogers-Ramanujan type identities

- J.Statist.Phys. 35 (1984) 193-266
•
DOI:
- 10.1007/BF01014383

Automorphic properties of local height probabilities for integrable solid-on-solid models

- Phys.Rev.B 35 (1987) 2105-2107
•
DOI:
- 10.1103/PhysRevB.35.2105

The A( $n$ )(1) Face Models

- Commun.Math.Phys. 119 (1988) 543
•
DOI:
- 10.1007/BF01218344

LOCAL STATE PROBABILITIES OF SOLVABLE LATTICE MODELS: AN A(1)(n-1) FAMILY

- Nucl.Phys.B 300 (1988) 74-108
•
DOI:
- 10.1016/0550-3213(88)90587-1

Diagonalization of the XXZ Hamiltonian by vertex operators

Brian Davies
(
- Australian Natl. U., Canberra
)
,
Omar Foda
(
- Nijmegen U. and
- Melbourne U.
)
,
Michio Jimbo
(
- Kyoto U.
)
,
Tetsuji Miwa
(
- Kyoto U., RIMS
)
,
Atsushi Nakayashiki
(
- Kobe U.
)

- Commun.Math.Phys. 151 (1993) 89-153
•
e-Print:
- hep-th/9204064
•
DOI:
- 10.1007/BF02096750

Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model

- J.Sov.Math. 24 (1984) 241-267,
- Zap.Nauchn.Semin. 109 (1981) 134-178
•
DOI:
- 10.1007/BF01087245

- J.Statist.Phys. 71 883

Virasoro characters from Bethe equations for the critical ferromagnetic three state Potts model

Srinandan Dasmahapatra
(
- ICTP, Trieste
)
,
Rinat Kedem
(
- SUNY, Stony Brook
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Ezer Melzer
(
- SUNY, Stony Brook
)

- J.Statist.Phys. 74 (1994) 239
•
e-Print:
- hep-th/9304150
•
DOI:
- 10.1007/BF02186814

Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series M (nu nu + 1)

Alexander Berkovich
(
- Bonn U.
)

- Nucl.Phys.B 431 (1994) 315-348
•
e-Print:
- hep-th/9403073
•
DOI:
- 10.1016/0550-3213(94)90108-2

Virasoro character identities from the Andrews-Bailey construction

Omar Foda
(
- Melbourne U.
)
,
Yas-Hiro Quano
(
- Melbourne U.
)

- Int.J.Mod.Phys.A 12 (1997) 1651-1676
•
e-Print:
- hep-th/9408086
•
DOI:
- 10.1142/S0217751X97001110

Crystalline spinon basis for RSOS models

Astushi Nakayashiki
(
- Kyushu U.
)
,
Yasuhiko Yamada
(
- Kyushu U.
)

- Int.J.Mod.Phys.A 11 (1996) 395-408
•
e-Print:
- hep-th/9505083
•
DOI:
- 10.1142/S0217751X96000201

A Bijection which implies Melzer's polynomial identities

Omar Foda
(
- Melbourne U.
)
,
S.Ole Warnaar
(
- Melbourne U.
)

- Lett.Math.Phys. 36 (1996) 145-155
•
e-Print:
- hep-th/9501088
•
DOI:
- 10.1007/BF00714377

- J.Sov.Math. 41 916

Restricted Solid on Solid Models Connected With Simply Based Algebras and Conformal Field Theory

V. Bazhanov
(
- Serpukhov, IHEP
)
,
N. Reshetikhin
(
- UC, Davis and
- Steklov Math. Inst., St. Petersburg
)

- J.Phys.A 23 (1990) 1477
•
DOI:
- 10.1088/0305-4470/23/9/012

On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain

H. Bethe

- Z.Phys. 71 (1931) 205-226
•
DOI:
- 10.1007/BF01341708

- Prog.Theor.Phys. 46 401

GENERALIZED HEISENBERG FERROMAGNET AND THE GROSS-NEVEU MODEL

- Sov.Phys.JETP 53 (1981) 108-114,
- Zh.Eksp.Teor.Fiz. 80 (1981) 214-228,
- Leningrad Steklov Math Inst A N - E-4-79 (79,REC.MAR 80) 24p

- J.Sov.Math. 41 925

- Compt.Rend.Hebd.Seances Acad.Sci.A 268 323

- J.Geom.Phys. 5 365

- Invent.Math. 92 349

Fusion algebras in integrable systems in two-dimensions

- Phys.Lett.B 262 (1991) 259-264
•
DOI:
- 10.1016/0370-2693(91)91563-B

- Contemp.Math. 175 89

Combinatorics of representations of U-q(sl(n)) at q = 0

Michio Jimbo
(
- Kyoto U.
)
,
C. Misra
(
- North Carolina State U.
)
,
Tetsuji Miwa
(
- Kyoto U., RIMS
)
,
Masato Okado
(
- Osaka U.
)

- Commun.Math.Phys. 136 (1991) 543-566
•
DOI:
- 10.1007/BF02099073

Crystal Base for the Basic Representation of U- $q$ (sl( $n$ ))

- Commun.Math.Phys. 134 (1990) 79-88
•
DOI:
- 10.1007/BF02102090

1-25 of 38
1
2
25 / page