Spinon basis for higher level SU(2) WZW models - INSPIRE

DataBETA

Spinon basis for higher level SU(2) WZW models

Dec, 1994

10 pages

Published in:

Phys.Lett.B 359 (1995) 304-312

e-Print:

hep-th/9412108 [hep-th]

DOI:

10.1016/0370-2693(95)01078-5

Report number:

USC-94-20,
PUPT-1522

View in:

reference search57 citations

Citations per year

Abstract: (DESY)

We determine the spinon basis for the integrable highest weight modules of (sl2~)_k at levels k\geq 1, and reveal the underlying Yangian symmetry. Evaluating the characters in this spinon basis provides new quasi-particle type expressions for the characters of these integrable modules, and explicitly exhibits the structure of an RSOS times a Yangian part, known \eg from

S

-matrix results. We briefly discuss generalizations to other groups and more general conformal field theories.

field theory: conformal
dimension: 2
Wess-Zumino-Witten model
operator: algebra
algebra: Hecke
algebra: representation
algebra: character

References(38)

Figures(0)

Characters in conformal field theories from thermodynamic Bethe ansatz

- Mod.Phys.Lett.A 8 (1993) 1649-1660
•
e-Print:
- hep-th/9301018
•
DOI:
- 10.1142/S0217732393001392

Fermionic quasiparticle representations for characters of G(1)1 x G(1)1 / G(1)2

R. Kedem
(
- SUNY, Stony Brook
)
,
T.R. Klassen
(
- Rutgers U., Piscataway
)
,
B.M. McCoy
(
- SUNY, Stony Brook
)
,
E. Melzer
(
- SUNY, Stony Brook
)

- Phys.Lett.B 304 (1993) 263-270
•
e-Print:
- hep-th/9211102
•
DOI:
- 10.1016/0370-2693(93)90292-P

Fermionic sum representations for conformal field theory characters

R. Kedem
(
- SUNY, Stony Brook
)
,
T.R. Klassen
(
- Rutgers U., Piscataway
)
,
B.M. McCoy
(
- SUNY, Stony Brook
)
,
E. Melzer
(
- SUNY, Stony Brook
)

- Phys.Lett.B 307 (1993) 68-76
•
e-Print:
- hep-th/9301046
•
DOI:
- 10.1016/0370-2693(93)90194-M

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

Quasiparticles, conformal field theory, and q series

S. Dasmahapatra
(
- ICTP, Trieste
)
,
R. Kedem
(
- SUNY, Stony Brook
)
,
T.R. Klassen
(
- Rutgers U., Piscataway
)
,
B.M. McCoy
(
- SUNY, Stony Brook
)
,
E. Melzer
(
- SUNY, Stony Brook
)

- Int.J.Mod.Phys.B 7 (1993) 3617-3648
•
e-Print:
- hep-th/9303013
•
DOI:
- 10.1142/S0217979293003437

The Sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in (1+1)-dimensional quantum field theory

Rinat Kedem
(
- SUNY, Stony Brook
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Ezer Melzer
(
- SUNY, Stony Brook
)

e-Print:
- hep-th/9304056

The Many faces of a character

Ezer Melzer
(
- Tel Aviv U.
)

- Lett.Math.Phys. 31 (1994) 233-246
•
e-Print:
- hep-th/9312043
•
DOI:
- 10.1007/BF00761715

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

Continued fractions and Fermionic representations for characters of M(p,p-prime) minimal models

Alexander Berkovich
(
- Bonn U.
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)

- Lett.Math.Phys. 37 (1996) 49-66
•
e-Print:
- hep-th/9412030
•
DOI:
- 10.1007/BF00400138

Dilogarithm identities

Anatol N. Kirillov
(
- Tokyo U., Komaba and
- Steklov Math. Inst., St. Petersburg
)

- Prog.Theor.Phys.Suppl. 118 (1995) 61-142
•
e-Print:
- hep-th/9408113
•
DOI:
- 10.1143/PTPS.118.61

Polynomial identities of the Rogers-Ramanujan type

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

- Int.J.Mod.Phys.A 10 (1995) 2291
•
e-Print:
- hep-th/9407191
•
DOI:
- 10.1142/S0217751X9500111X

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

- Proc.Nat.Acad.Sci. 78 7254

- Adv.Math. 45 21

- Invent.Math. 79 417

Quasi-particles models for the representation of lie algebras and geometry of flag manifold

B.L. Feigin
(
- Kyoto U., RIMS
)
,
A.V. Stoyanovsky
(
- Kyoto U., RIMS
)

- Funct.Anal.Appl. 28 (1994) 68-90
•
e-Print:
- hep-th/9308079

Spinons in conformal field theory

- Nucl.Phys.B 428 (1994) 612-628
•
e-Print:
- hep-th/9404050
•
DOI:
- 10.1016/0550-3213(94)90366-2

Spinon bases, Yangian symmetry and fermionic representations of Virasoro characters in conformal field theory

Peter Bouwknegt
(
- Southern California U.
)
,
Andreas W.W. Ludwig
(
- Princeton U.
)
,
Kareljan Schoutens
(
- Princeton U.
)

- Phys.Lett.B 338 (1994) 448-456
•
e-Print:
- hep-th/9406020
•
DOI:
- 10.1016/0370-2693(94)90799-4

Anyon basis of c = 1 conformal field theory

Satoshi Iso
(
- Tokyo U.
)

- Nucl.Phys.B 443 (1995) 581-595
•
e-Print:
- hep-th/9411051
•
DOI:
- 10.1016/0550-3213(95)00135-F

Combinatorial constructions of modules for infinite dimensional Lie algebras. 1. Principal subspace

Galin Georgiev
(
- Rutgers U., Piscataway
)

e-Print:
- hep-th/9412054

Exact Jastrow-Gutzwiller resonating valence bond ground state of the spin 1/2 antiferromagnetic Heisenberg chain with 1/r**2 exchange

F.D.M. Haldane
(
- UC, San Diego
)

- Phys.Rev.Lett. 60 (1988) 635
•
DOI:
- 10.1103/PhysRevLett.60.635

Exact solution of an S = 1/2 Heisenberg antiferromagnetic chain with long ranged interactions

B. Sriram Shastry
(
- Princeton U.
)

- Phys.Rev.Lett. 60 (1988) 639
•
DOI:
- 10.1103/PhysRevLett.60.639

Yangian symmetry of integrable quantum chains with long range interactions and a new description of states in conformal field theory

F.D.M. Haldane
(
- Princeton U. and
- Ecole Normale Superieure
)
,
Z.N.C. Ha
(
- Princeton U. and
- Ecole Normale Superieure
)
,
J.C. Talstra
(
- Princeton U. and
- Ecole Normale Superieure
)
,
Denis Bernard
(
- Saclay
)
,
V. Pasquier
(
- Saclay
)

- Phys.Rev.Lett. 69 (1992) 2021-2025
•
DOI:
- 10.1103/PhysRevLett.69.2021

Yang-Baxter equation in long range interacting system

Denis Bernard
(
- Saclay and
- Princeton U. and
- Vienna U.
)
,
M. Gaudin
(
- Saclay and
- Princeton U. and
- Vienna U.
)
,
F.D.M. Haldane
(
- Saclay and
- Princeton U. and
- Vienna U.
)
,
V. Pasquier
(
- Saclay and
- Princeton U. and
- Vienna U.
)

- J.Phys.A 26 (1993) 5219-5236
•
e-Print:
- hep-th/9301084
•
DOI:
- 10.1088/0305-4470/26/20/010

Yang-Baxter equation in long range interacting system

Denis Bernard
(
- Saclay and
- Princeton U. and
- Vienna U.
)
,
M. Gaudin
(
- Saclay and
- Princeton U. and
- Vienna U.
)
,
F.D.M. Haldane
(
- Saclay and
- Princeton U. and
- Vienna U.
)
,
V. Pasquier
(
- Saclay and
- Princeton U. and
- Vienna U.
)

- J.Phys.A 26 (1993) 5219-5236
•
e-Print:
- hep-th/9301084
•
DOI:
- 10.1088/0305-4470/26/20/010

1-25 of 38
1
2
25 / page