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Boundary states for WZW models

Matthias R. Gaberdiel
(
- King's Coll. London
)
,
Terry Gannon
(
- Alberta U.
)

Feb, 2002

35 pages

Published in:

Nucl.Phys.B 639 (2002) 471-501

e-Print:

hep-th/0202067 [hep-th]

DOI:

10.1016/S0550-3213(02)00559-X

Report number:

KCL-MTH-02-03

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Abstract:

The boundary states for a certain class of WZW models are determined. The models include all modular invariants that are associated to a symmetry of the unextended Dynkin diagram. Explicit formulae for the boundary state coefficients are given in each case, and a number of properties of the corresponding NIM-reps are derived.

Note:

34 pages, harvmac (b), 4 eps-figures. One reference added: some minor typos, as well as the $A_2$ embedding into $D_4$, are corrected Report-no: KCL-MTH-02-03 Subj-class: High Energy Physics - Theory: Quantum Algebra Journal-ref: Nucl.Phys. B639 (2002) 471-501 DOI: 10.1016/S0550-3213(02)00559-X

11.25.Hf
11.25.-w
Wess-Zumino-Witten model
invariance: modular
boundary condition
field theory: conformal
algebra: fusion
algebra: representation

References(25)

Figures(0)

Boundary Conditions, Fusion Rules and the Verlinde Formula

John L. Cardy
(
- UC, Santa Barbara
)

- Nucl.Phys.B 324 (1989) 581-596
•
DOI:
- 10.1016/0550-3213(89)90521-X

Completeness conditions for boundary operators in 2-D conformal field theory

G. Pradisi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
A. Sagnotti
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Ya.S. Stanev
(
- Rome U., Tor Vergata and
- INFN, Rome
)

- Phys.Lett.B 381 (1996) 97-104
•
e-Print:
- hep-th/9603097
•
DOI:
- 10.1016/0370-2693(96)00578-3

Boundary conditions in rational conformal field theories

Roger E. Behrend
(
- SUNY, Stony Brook
)
,
Paul A. Pearce
(
- Melbourne U.
)
,
Valentina B. Petkova
(
- Clausthal, Tech. U.
)
,
Jean-Bernard Zuber
(
- Saclay
)

- Nucl.Phys.B 570 (2000) 525-589,
- Nucl.Phys.B 579 (2000) 707-773
•
e-Print:
- hep-th/9908036
•
DOI:
- 10.1016/S0550-3213(99)00592-1

Modular data: The Algebraic combinatorics of conformal field theory

Terry Gannon
(
- Alberta U.
)

e-Print:
- math/0103044

Boundary conformal field theory and fusion ring representations

Terry Gannon
(
- Alberta U.
)

- Nucl.Phys.B 627 (2002) 506-564
•
e-Print:
- hep-th/0106105
•
DOI:
- 10.1016/S0550-3213(01)00632-0

Conformal field theories, graphs and quantum algebras

Valentina Petkova
(
- Northumbria U. and
- Sofiya, Inst. Nucl. Res.
)
,
Jean-Bernard Zuber
(
- Saclay
)

- Prog.Math.Phys. 23 (2002) 415-435
•
e-Print:
- hep-th/0108236

Modular invariants, graphs and alpha induction for nets of subfactors. 3.

Jens Bockenhauer
(
- Cardiff U.
)
,
David E. Evans
(
- Cardiff U.
)

- Commun.Math.Phys. 205 (1999) 183-228
•
e-Print:
- hep-th/9812110
•
DOI:
- 10.1007/s002200050673

SU( $N$ ) Lattice Integrable Models Associated With Graphs

P. Di Francesco
(
- Saclay, SPhT
)
,
J.B. Zuber
(
- Saclay, SPhT
)

- Nucl.Phys.B 338 (1990) 602-646
•
DOI:
- 10.1016/0550-3213(90)90645-T

From CFT to graphs

V.B. Petkova
(
- Clausthal, Tech. U. and
- Sofiya, Inst. Nucl. Res.
)
,
J.B. Zuber
(
- Saclay
)

- Nucl.Phys.B 463 (1996) 161-193
•
e-Print:
- hep-th/9510175
•
DOI:
- 10.1016/0550-3213(95)00670-2

- Commun.Math.Phys. 192 349

Chiral structure of modular invariants for subfactors

Jens Bockenhauer
(
- Cardiff U.
)
,
David E. Evans
(
- Cardiff U.
)
,
Yasuyuki Kawahigashi
(
- Tokyo U., Komaba
)

- Commun.Math.Phys. 210 (2000) 733-784
•
e-Print:
- math/9907149
•
DOI:
- 10.1007/s002200050798

Boundary conditions in charge conjugate sl(N) WZW theories

V.B. Petkova
(
- Sofiya, Inst. Nucl. Res.
)
,
J.B. Zuber
(
- Saclay
)

e-Print:
- hep-th/0201239

- J.Am.Math.Soc. 9 237

Fusion Rules and Modular Transformations in 2D Conformal Field Theory

Erik P. Verlinde
(
- Utrecht U.
)

- Nucl.Phys.B 300 (1988) 360-376
•
DOI:
- 10.1016/0550-3213(88)90603-7

Extended Chiral Algebras and Modular Invariant Partition Functions

A.N. Schellekens
(
- CERN
)
,
S. Yankielowicz
(
- CERN
)

- Nucl.Phys.B 327 (1989) 673-703
•
DOI:
- 10.1016/0550-3213(89)90310-6

Bonus Symmetry in Conformal Field Theory

Kenneth A. Intriligator
(
- Harvard U.
)

- Nucl.Phys.B 332 (1990) 541-565
•
DOI:
- 10.1016/0550-3213(90)90001-T

Symmetry breaking boundaries. 1. General theory

Jurgen Fuchs
(
- CERN
)
,
Christoph Schweigert
(
- Zurich, ETH
)

- Nucl.Phys.B 558 (1999) 419-483
•
e-Print:
- hep-th/9902132
•
DOI:
- 10.1016/S0550-3213(99)00406-X

From Dynkin diagram symmetries to fixed point structures

Jurgen Fuchs
(
- NIKHEF, Amsterdam
)
,
Bert Schellekens
(
- NIKHEF, Amsterdam
)
,
Christoph Schweigert
(
- NIKHEF, Amsterdam
)

- Commun.Math.Phys. 180 (1996) 39-98
•
e-Print:
- hep-th/9506135
•
DOI:
- 10.1007/BF02101182

Kac-Moody and Virasoro Algebras in Relation to Quantum Physics

Peter Goddard
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Int.J.Mod.Phys.A 1 (1986) 303,
•
DOI:
- 10.1142/S0217751X86000149

Fusion of twisted representations

Matthias R. Gaberdiel
(
- Cambridge U.
)

- Int.J.Mod.Phys.A 12 (1997) 5183-5208
•
e-Print:
- hep-th/9607036
•
DOI:
- 10.1142/S0217751X97002784

Algorithms for affine Kac-Moody algebras

Terry Gannon
(
- Alberta U.
)

e-Print:
- hep-th/0106123

Group Theory for Unified Model Building

R. Slansky
(
- Los Alamos
)

- Phys.Rept. 79 (1981) 1-128
•
DOI:
- 10.1016/0370-1573(81)90092-2

Universal noninteger 'ground state degeneracy' in critical quantum systems

- Phys.Rev.Lett. 67 (1991) 161-164
•
DOI:
- 10.1103/PhysRevLett.67.161

A Matrix S for all simple current extensions

J. Fuchs
(
- DESY
)
,
A.N. Schellekens
(
- NIKHEF, Amsterdam
)
,
C. Schweigert
(
- IHES, Bures-sur-Yvette
)

- Nucl.Phys.B 473 (1996) 323-366
•
e-Print:
- hep-th/9601078
•
DOI:
- 10.1016/0550-3213(96)00247-7

On fusion algebras and modular matrices

T. Gannon
(
- Alberta U.
)
,
M.A. Walton
(
- Cambridge U., DAMTP
)

- Commun.Math.Phys. 206 (1999) 1-22
•
e-Print:
- q-alg/9709039
•
DOI:
- 10.1007/s002200050695