The Spectrum of {Wess-Zumino-Witten} Models

Felder, Giovanni; Gawedzki, K.; Kupiainen, A.

doi:10.1016/0550-3213(88)90288-X

The Spectrum of {Wess-Zumino-Witten} Models

Giovanni Felder
(
- Zurich, ETH
)
,
K. Gawedzki
(
- IHES, Bures-sur-Yvette
)
,
A. Kupiainen
(
- Helsinki U.
)

1988

12 pages

Published in:

Nucl.Phys.B 299 (1988) 355-366

Published: 1988

DOI:

10.1016/0550-3213(88)90288-X

View in:

AMS MathSciNet

reference search31 citations

Citations per year

Abstract: (Elsevier)

We consider the SU(2) and SO(3) Wess-Zumino-Witten models in the Schrödinger representation. Wave functions are sections of a line bundle over a loop group. We compute the spectrum of irreducible lowest weight representations appearing in the model. Fusion rules of the operator product expansion are also discussed.

FIELD THEORY: WESS-ZUMINO TERM
FIELD THEORETICAL MODEL: SIGMA
SYMMETRY: SO(3)
SYMMETRY: SU(2)
FIELD THEORY: CONFORMAL
FIELD THEORY: FIBRE BUNDLE
FIELD THEORY: WAVE FUNCTION
FIELD THEORY: OPERATOR PRODUCT EXPANSION
GROUP THEORY: REPRESENTATION

References(14)

Figures(0)

[1]

Nonabelian Bosonization in Two-Dimensions

Edward Witten
(
- Princeton U.
)

- Commun.Math.Phys. 92 (1984) 455-472,
•
DOI:
- 10.1007/BF01215276

[2]

Current Algebra and Wess-Zumino Model in Two-Dimensions

V.G. Knizhnik
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 247 (1984) 83-103,
- Also in *Goddard, P. (ed.), Olive, D. (ed.): Kac-Moody and Virasoro algebras* 501-521, and in *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 76-96,
•
DOI:
- 10.1016/0550-3213(84)90374-2

[3]

String Theory on Group Manifolds

Doron Gepner
(
- Princeton U.
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 278 (1986) 493-549
•
DOI:
- 10.1016/0550-3213(86)90051-9

[4]

Saclay preprint SPhT/87-59

A. Cappelli
,
C. Itzykson
,
J.-B. Zuber

[5]

B. Kostant

- Lect.Notes Math. 170 (1970) 87

[6]

Cargèse lecture notes

K. Gawedzki

[7]

Goldstone Fields in Two-Dimensions with Multivalued Actions

Alexander M. Polyakov
(
- Moscow, ITEP
)
,
P.B. Wiegmann
(
- Moscow, ITEP
)

- Phys.Lett.B 141 (1984) 223-228
•
DOI:
- 10.1016/0370-2693(84)90206-5

[8]

Kac-moody Groups, Topology of the Dirac Determinant Bundle and Fermionization

Jouko Mickelsson
(
- Helsinki U.
)

- Commun.Math.Phys. 110 (1987) 173
•
DOI:
- 10.1007/BF01207361

[9]

Loop groups

A. Pressley
,
G. Segal

[10]

Arithmetic and geometry,vol.II

V.G. Kac
,
D.H. Peterson

[11]

Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory

A.A. Belavin
(
- Landau Inst.
)
,
Alexander M. Polyakov
(
- Landau Inst.
)
,
A.B. Zamolodchikov
(
- CERN and
- Landau Inst.
)

- Nucl.Phys.B 241 (1984) 333-380,
- IN *ITZYKSON, C. (ED.) ET AL.: CONFORMAL INVARIANCE AND APPLICATIONS TO STATISTICAL MECHANICS* 5-52. (NUCL. PHYS. B241 (1984) 333-380) AND CERN GENEVA - TH. 3827 (84,REC.JUN.) 71 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0550-3213(84)90052-X

[12]

Harvard preprint HUTP-87/A008

C. Vafa

[13]

String Characters From {Kac-Moody} Automorphisms

Denis Bernard
(
- Meudon Observ.
)

- Nucl.Phys.B 288 (1987) 628-648
•
DOI:
- 10.1016/0550-3213(87)90231-8

[14]

Parafermionic Currents in the Two-Dimensional Conformal Quantum Field Theory and Selfdual Critical Points in Z(n) Invariant Statistical Systems

V.A. Fateev
(
- Landau Inst.
)
,
A.B. Zamolodchikov
(
- Landau Inst.
)

- Sov.Phys.JETP 62 (1985) 215-225,
- Zh.Eksp.Teor.Fiz. 89 (1985) 380-399