CONFORMALLY INVARIANT CONSTRAINED FERMION MODELS

Cabra, D.; Moreno, E.; von Reichenbach, C.

doi:10.1142/S0217751X90001070

CONFORMALLY INVARIANT CONSTRAINED FERMION MODELS

Sep 25, 1989

34 pages

Published in:

Int.J.Mod.Phys.A 5 (1990) 2313

DOI:

10.1142/S0217751X90001070

Report number:

Print-89-0779 (LA PLATA)

View in:

reference search16 citations

Citations per year

Abstract: (WSP)

We construct constrained fermion models within the path-integral framework. By an appropriate choice of constraints we obtain an effective theory with central charge in the minimal unitary series, its supersymmetric generalization and other well-known series. We also discuss the relation between these constrained fermion models and gauged Wess-Zumino-Witten models.

field theory: conformal
dimension: 2
algebra: central charge
Wess-Zumino-Witten model
coset space
algebra: Kac-Moody
algebra: Virasoro
path integral
ghost
operator: Casimir

References(33)

Figures(0)

Conformal symmetry of critical fluctuations

Alexander M. Polyakov
(
- Landau Inst.
)

- JETP Lett. 12 (1970) 381-383,
- Pisma Zh.Eksp.Teor.Fiz. 12 (1970) 538-541

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

Conformal Invariance, Unitarity and Two-Dimensional Critical Exponents

Daniel Friedan
(
- Chicago U., EFI and
- Chicago U.
)
,
Zong-an Qiu
(
- Chicago U., EFI and
- Chicago U.
)
,
Stephen H. Shenker
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Rev.Lett. 52 (1984) 1575-1578
•
DOI:
- 10.1103/PhysRevLett.52.1575

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

Operator Content of Two-Dimensional Conformally Invariant Theories

John L. Cardy
(
- UC, Santa Barbara
)

- Nucl.Phys.B 270 (1986) 186-204,
- Also in *Goddard, P. (ed.), Olive, D. (ed.): KAC-MOODY AND VIRASORO ALGEBRAS* 461-479
•
DOI:
- 10.1016/0550-3213(86)90552-3

Superconformal Invariance in Two-Dimensions and the Tricritical Ising Model

Daniel Friedan
(
- Chicago U., EFI and
- Chicago U.
)
,
Zong-an Qiu
(
- Chicago U., EFI and
- Chicago U.
)
,
Stephen H. Shenker
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Lett.B 151 (1985) 37-43
•
DOI:
- 10.1016/0370-2693(85)90819-6

- Teor.Mat.Fiz. 99 103

Conformal quantum field theory models in two dimensions having Z3 symmetry

V.A. Fateev
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 280 (1987) 644-660,
- Nucl.Phys.B 280 (1987) 644-660
•
DOI:
- 10.1016/0550-3213(87)90166-0

- Sov.Phys.JETP 82 215

New Conformal Field Theories Associated with Lie Algebras and their Partition Functions

Doron Gepner
(
- Princeton U.
)

- Nucl.Phys.B 290 (1987) 10-24
•
DOI:
- 10.1016/0550-3213(87)90176-3

Virasoro Algebras and Coset Space Models

P. Goddard
(
- Cambridge U.
)
,
A. Kent
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Phys.Lett.B 152 (1985) 88-92
•
DOI:
- 10.1016/0370-2693(85)91145-1

Unitary Representations of the Virasoro and Supervirasoro Algebras

P. Goddard
(
- Cambridge U.
)
,
A. Kent
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Commun.Math.Phys. 103 (1986) 105-119,
- IN *ITZYKSON, C. (ED.) ET AL.: CONFORMAL INVARIANCE AND APPLICATIONS TO STATISTICAL MECHANICS* 159-173. (COMMUN. MATH. PHYS. 103 (1986) 105-119) AND CAMBRIDGE UNIV. - DAMTP 85-21 (85,REC.NOV.) 31 P. (SEE BOOK INDEX)
•
DOI:
- 10.1007/BF01464283

G/h Conformal Field Theory from Gauged WZW Model

K. Gawedzki
(
- IHES, Bures-sur-Yvette
)
,
A. Kupiainen
(
- Helsinki U.
)

- Phys.Lett.B 215 (1988) 119-123
•
DOI:
- 10.1016/0370-2693(88)91081-7

- Phys.Lett.B 168 307

Conformal Invariance and Current Algebra

Adrian Kent
(
- Chicago U., EFI
)

- Phys.Lett.B 173 (1986) 413-416
•
DOI:
- 10.1016/0370-2693(86)90406-5

String Models with c < 1 Components

- Nucl.Phys.B 299 (1988) 151,
- NUCL. PHYS. B299 (1988) 151-182 AND CERN GENEVA - TH. 4760 (87,REC.SEP.) 40p
•
DOI:
- 10.1016/0550-3213(88)90470-1

Nonabelian Bosonization in Two-Dimensions

Edward Witten
(
- Princeton U.
)

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

Two-dimensional Ising model as a soluble problem of many fermions

T.D. Schultz
(
- IBM Watson Res. Ctr.
)
,
D.C. Mattis
(
- IBM Watson Res. Ctr.
)
,
Elliott H. Lieb
(
- Yeshiva U.
)

- Rev.Mod.Phys. 36 (1964) 856-871
•
DOI:
- 10.1103/RevModPhys.36.856

Constrained Fermi Systems and Virasoro Algebras

Eduardo H. Fradkin
(
- Illinois U., Urbana and
- La Plata U.
)
,
Carlos M. Naon
(
- La Plata U.
)
,
Fidel A. Schaposnik
(
- La Plata U.
)

- Phys.Lett.B 200 (1988) 95-97
•
DOI:
- 10.1016/0370-2693(88)91116-1

Theory of Nonabelian Goldstone Bosons

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

- Phys.Lett.B 131 (1983) 121-126,
•
DOI:
- 10.1016/0370-2693(83)91104-8

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

Path Integral Formulation of Two-dimensional Gauge Theories With Massless Fermions

- Nucl.Phys.B 185 (1981) 239-253
•
DOI:
- 10.1016/0550-3213(81)90375-8

Two-dimensional Nonabelian Bosonization in the Presence of External Gauge Fields and Gravity

- Phys.Lett.B 193 (1987) 471-475
•
DOI:
- 10.1016/0370-2693(87)91700-X

Critical Dimensions for Strings on Group Manifolds From Path Integral Methods

Anna Ceresole
(
- SUNY, Stony Brook
)
,
A. Lerda
(
- SUNY, Stony Brook
)
,
P. Pizzochero
(
- SUNY, Stony Brook
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Phys.Lett.B 189 (1987) 34-38
•
DOI:
- 10.1016/0370-2693(87)91265-2

Conformal Algebra and Multipoint Correlation Functions in Two-Dimensional Statistical Models

V.S. Dotsenko
(
- Nordita
)
,
V.A. Fateev
(
- Landau Inst.
)

- Nucl.Phys.B 240 (1984) 312,
- IN *ITZYKSON, C. (ED.) ET AL.: CONFORMAL INVARIANCE AND APPLICATIONS TO STATISTICAL MECHANICS* 214-250. (NUCL. PHYS. B240 |FS12| (1984) 312-348) AND NORDITA COPENHAGEN - NORDITA-84-08 (84,REC.MAY) 75 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0550-3213(84)90269-4

1-25 of 33
1
2
25 / page