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An Algebraic approach to logarithmic conformal field theory

Matthias R Gaberdiel
(
- King's Coll. London
)

Nov, 2001

55 pages

Part of Logarithmic conformal field theory and its applications. Proceedings, School and Workshop, Tehran, Iran, September 4-18, 2001

Published in:

Int.J.Mod.Phys.A 18 (2003) 4593-4638

Contribution to:

School and Workshop on Logarithmic Conformal Field Theory

e-Print:

hep-th/0111260 [hep-th]

DOI:

10.1142/S0217751X03016860

Report number:

KCL-MTH-01-46

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Abstract:

A comprehensive introduction to logarithmic conformal field theory, using an algebraic point of view, is given. A number of examples are explained in detail, including the c=-2 triplet theory and the k=-4/3 affine su(2) theory. We also give some brief introduction to the work of Zhu.

lectures: Tehran 2001/09/04
field theory: conformal
algebra: Virasoro
Wess-Zumino-Witten model: SU(2)
model: triplet
algebra: fusion
algebra: representation
partition function
fermion: symplectic
n-point function

References(71)

Figures(0)

Polymers and percolation in two-dimensions and twisted N=2 supersymmetry

H. Saleur
(
- Yale U.
)

- Nucl.Phys.B 382 (1992) 486-531
•
e-Print:
- hep-th/9111007
•
DOI:
- 10.1016/0550-3213(92)90657-W

On modular invariant partition functions of conformal field theories with logarithmic operators

Michael A.I. Flohr
(
- Madrid, IMAFF
)

- Int.J.Mod.Phys.A 11 (1996) 4147-4172
•
e-Print:
- hep-th/9509166
•
DOI:
- 10.1142/S0217751X96001954

Curiosities at c = -2

Horst G. Kausch
(
- Cambridge U.
)

e-Print:
- hep-th/9510149

A Crossing probability for critical percolation in two-dimensions

G.M.T. Watts
(
- King's Coll. London
)

- J.Phys.A 29 (1996) L363
•
e-Print:
- cond-mat/9603167
•
DOI:
- 10.1088/0305-4470/29/14/002

The Alfven effect and conformal field theory

M.R. Rahimi Tabar
(
- Sharif U. of Tech. and
- IPM, Tehran
)
,
S. Rouhani
(
- Sharif U. of Tech. and
- IPM, Tehran
)

- Nuovo Cim.B 112 (1997) 1079-1084
•
e-Print:
- hep-th/9507166

Two-dimensional turbulence: Yet another conformal field theory solution

Michael A.I. Flohr
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 482 (1996) 567-578
•
e-Print:
- hep-th/9606130
•
DOI:
- 10.1016/S0550-3213(96)00563-9

A Logarithmic conformal field theory solution for two-dimensional magnetohydrodynamics in presence of the Alf'ven effect

M.R. Rahimi Tabar
(
- IPM, Tehran and
- Iran U. Sci. Tech.
)
,
S. Rouhani
(
- IPM, Tehran and
- Sharif U. of Tech.
)

- EPL 37 (1997) 447-451
•
e-Print:
- hep-th/9606143
•
DOI:
- 10.1209/epl/i1997-00170-7

The Haldane-Rezayi quantum Hall state and conformal field theory

- Nucl.Phys.B 498 (1997) 513-538
•
e-Print:
- cond-mat/9701212
•
DOI:
- 10.1016/S0550-3213(97)00351-9

Modular invariants in the fractional quantum Hall effect

Kazusumi Ino
(
- Tokyo U., ISSP
)

- Nucl.Phys.B 532 (1998) 783-806
•
e-Print:
- cond-mat/9804198
•
DOI:
- 10.1016/S0550-3213(98)00598-7

Scaling fields in the two-dimensional Abelian sandpile model

Stephane Mahieu
(
- Louvain U.
)
,
Philippe Ruelle
(
- Louvain U.
)

- Phys.Rev.E 64 (2001) 066130
•
e-Print:
- hep-th/0107150
•
DOI:
- 10.1103/PhysRevE.64.066130

Logarithmic operators and hidden continuous symmetry in critical disordered models

- Nucl.Phys.B 466 (1996) 444-462,
- In *Shifman, M. (ed.) et al.: From fields to strings, vol. 3* 2223-2245
•
e-Print:
- hep-th/9511134
•
DOI:
- 10.1016/0550-3213(96)00118-6

Logarithmic operators and dynamical extension of the symmetry group in the bosonic SU(2)-0 and SUSY SU(2)-2 WZNW models

- Nucl.Phys.B 489 (1997) 469-484
•
e-Print:
- hep-th/9606138
•
DOI:
- 10.1016/S0550-3213(97)00011-4

Nonunitary conformal field theory and logarithmic operators for disordered systems

Z. Maassarani
(
- Saclay
)
,
D. Serban
(
- Saclay
)

- Nucl.Phys.B 489 (1997) 603-625
•
e-Print:
- hep-th/9605062
•
DOI:
- 10.1016/S0550-3213(97)00014-X

Disordered Dirac fermions: Multifractality termination and logarithmic conformal field theories

J.S. Caux
(
- Oxford U.
)
,
N. Taniguchi
(
- Oxford U. and
- Hiroshima U.
)
,
A.M. Tsvelik
(
- Oxford U.
)

- Nucl.Phys.B 525 (1998) 671-696
•
e-Print:
- cond-mat/9801055
•
DOI:
- 10.1016/S0550-3213(98)00331-9

g l(N|N) super current algebras for disordered Dirac fermions in two-dimensions

- Nucl.Phys.B 583 (2000) 475-512
•
e-Print:
- cond-mat/9909143
•
DOI:
- 10.1016/S0550-3213(00)00245-5

A Free field representation of the Osp(2|2) current algebra at level k = -2, and Dirac fermions in a random SU(2) gauge potential

Andreas W.W. Ludwig
(
- UC, Santa Barbara and
- Amsterdam U.
)

e-Print:
- cond-mat/0012189

A Rational logarithmic conformal field theory

Matthias R. Gaberdiel
(
- Cambridge U.
)
,
Horst G. Kausch
(
- Cambridge U.
)

- Phys.Lett.B 386 (1996) 131-137
•
e-Print:
- hep-th/9606050
•
DOI:
- 10.1016/0370-2693(96)00949-5

A Local logarithmic conformal field theory

Matthias R. Gaberdiel
(
- Cambridge U.
)
,
Horst G. Kausch
(
- Durham U.
)

- Nucl.Phys.B 538 (1999) 631-658
•
e-Print:
- hep-th/9807091
•
DOI:
- 10.1016/S0550-3213(98)00701-9

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

Polynomial Equations for Rational Conformal Field Theories

- Phys.Lett.B 212 (1988) 451-460
•
DOI:
- 10.1016/0370-2693(88)91796-0

S and T matrices for the superU(1,1) WZW model: Application to surgery and three manifolds invariants based on the Alexander-Conway polynomial

L. Rozansky
(
- Texas U.
)
,
H. Saleur
(
- Yale U.
)

- Nucl.Phys.B 389 (1993) 365-423
•
e-Print:
- hep-th/9203069
•
DOI:
- 10.1016/0550-3213(93)90326-K

Logarithmic operators in conformal field theory

V. Gurarie
(
- Princeton U.
)

- Nucl.Phys.B 410 (1993) 535-549
•
e-Print:
- hep-th/9303160
•
DOI:
- 10.1016/0550-3213(93)90528-W

Indecomposable fusion products

Matthias R. Gaberdiel
(
- Cambridge U.
)
,
Horst G. Kausch
(
- Cambridge U.
)

- Nucl.Phys.B 477 (1996) 293-318
•
e-Print:
- hep-th/9604026
•
DOI:
- 10.1016/0550-3213(96)00364-1

On gravitational dressing of 2-D field theories in chiral gauge

Adel Bilal
(
- Ecole Normale Superieure
)
,
Ian I. Kogan
(
- Oxford U.
)

- Nucl.Phys.B 449 (1995) 569-588
•
e-Print:
- hep-th/9503209
•
DOI:
- 10.1016/0550-3213(95)00301-8

Logarithmic currents in the SU(2)0 WZNW model

A. Nichols
(
- Oxford U.
)

- Phys.Lett.B 516 (2001) 439-445
•
e-Print:
- hep-th/0102156
•
DOI:
- 10.1016/S0370-2693(01)00965-0

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