Algebraic coset conformal field theories

All unitary Rational Conformal Field Theories (RCFT) are conjectured to be related to unitary coset Conformal Field Theories, i.e., gauged Wess–Zumino–Witten (WZW) models with compact gauge groups. In

field theory: conformal
dimension: 2
coset space
operator: algebra
algebra: von Neumann
axiomatic field theory
mathematical methods

References(31)

Figures(0)

The Branching Rules of Conformal Embeddings

- Commun.Math.Phys. 132 (1990) 349-364
•
DOI:
- 10.1007/BF02096653

Vertex algebras, Kac-Moody algebras, and the monster

Richard E. Borcherds
(
- Cambridge U.
)

- Proc.Nat.Acad.Sci. 83 (1986) 3068-3071
•
DOI:
- 10.1073/pnas.83.10.3068

A Classification of Subgroup Truncations of the Bosonic String

F.Alexander Bais
(
- Amsterdam U.
)
,
Peter G. Bouwknegt
(
- Amsterdam U.
)

- Nucl.Phys.B 279 (1987) 561
•
DOI:
- 10.1016/0550-3213(87)90010-1

Coset Construction for Extended Virasoro Algebras

- Nucl.Phys.B 304 (1988) 371-391,
- In *Bouwknegt, P. (ed.), Schoutens, K. (ed.): W-symmetry* 516-536
•
DOI:
- 10.1016/0550-3213(88)90632-3

Characters for coset conformal field theories

David C. Dunbar
(
- Swansea U.
)
,
Keith G. Joshi
(
- Liverpool U.
)

- Int.J.Mod.Phys.A 8 (1993) 4103-4122
•
e-Print:
- hep-th/9210122
•
DOI:
- 10.1142/S0217751X93001685

Maverick examples of coset conformal field theories

David C. Dunbar
(
- Swansea U.
)
,
Keith G. Joshi
(
- Liverpool U.
)

- Mod.Phys.Lett.A 8 (1993) 2803-2814
•
e-Print:
- hep-th/9309093
•
DOI:
- 10.1142/S0217732393003196

Operator algebras and conformal field theory

Fabrizio Gabbiani
(
- Zurich, ETH
)
,
Jurg Frohlich
(
- Zurich, ETH
)

- Commun.Math.Phys. 155 (1993) 569-640
•
DOI:
- 10.1007/BF02096729

The Conformal spin and statistics theorem

Daniele Guido
(
- Rome U., Tor Vergata
)
,
Roberto Longo
(
- Rome U., Tor Vergata and
- Rome, Accad. Lincei
)

- Commun.Math.Phys. 181 (1996) 11-36
•
e-Print:
- hep-th/9505059
•
DOI:
- 10.1007/BF02101672

Relativistic invariance and charge conjugation in quantum field theory

D. Guido
(
- Rome U., Tor Vergata
)
,
R. Longo
(
- Rome U., Tor Vergata
)

- Commun.Math.Phys. 148 (1992) 521-551
•
DOI:
- 10.1007/BF02096548

- J.Reine Angew.Math. 347 69

Modular and conformal invariance constraints in representation theory of affine algebras

- Adv.Math. 70 (1988) 156
•
DOI:
- 10.1016/0001-8708(88)90055-2

Vertex operators in conformal field theory on P(1) and monodromy representations of braid group

A. Tsuchiya
(
- Nagoya U.
)
,
Y. Kanie
(
- Mie U.
)

- Adv.Stud.Pure Math. 16 (1988) 297-372,
- Adv.Stud.Pure Math. 19 (1989) 675-682 (erratum)

A duality for Hopf algebras and for subfactors. 1.

Roberto Longo
(
- Rome U., Tor Vergata
)

- Commun.Math.Phys. 159 (1994) 133-150
•
DOI:
- 10.1007/BF02100488

Index of subfactors and statistics of quantum fields. I

R. Longo
(
- Rome U., Tor Vergata
)

- Commun.Math.Phys. 126 (1989) 217-247
•
DOI:
- 10.1007/BF02125124

Index of subfactors and statistics of quantum fields. 2: Correspondences, braid group statistics and Jones polynomial

R. Longo
(
- Rome U.
)

- Commun.Math.Phys. 130 (1990) 285-309
•
DOI:
- 10.1007/BF02473354

Minimal index and braided subfactors

Roberto Longo
(
- Rome U., Tor Vergata
)

- J.Funct.Anal. 109 (1992) 98-112
•
DOI:
- 10.1016/0022-1236(92)90013-9

Nets of subfactors

R. Longo
(
- Rome U., Tor Vergata
)
,
Karl-Henning Rehren
(
- Hamburg U.
)

- Rev.Math.Phys. 7 (1995) 567-598
•
e-Print:
- hep-th/9411077
•
DOI:
- 10.1142/S0129055X95000232

- J.Funct.Anal. 9 306

Taming the Conformal Zoo

- Phys.Lett.B 220 (1989) 422-430
•
DOI:
- 10.1016/0370-2693(89)90897-6

On Rings of Operators

- Annals Math. 37 (1936) 1, 116-229
•
DOI:
- 10.2307/1968693

- Acta Mat. 172 352

- Annales Sci.Ecole Norm.Sup. 19 57

Nonperturbative Dynamics of Heavy Quarkonia

Yu.A. Simonov
(
- Moscow, ITEP
)

- Nucl.Phys.B 324 (1989) 67-90
•
DOI:
- 10.1016/0550-3213(89)90181-8

Fusion Rules in {Wess-Zumino}-witten Models

Mark A. Walton
(
- Laval U.
)

- Nucl.Phys.B 340 (1990) 777-790
•
DOI:
- 10.1016/0550-3213(90)90470-X

- Invent.Math. 92 345

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