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This article aims to review a selection of central topics and examples in logarithmic conformal field theory.
Percolation Crossing Formulas and Conformal Field Theory
J Simmons, P Kleban and R Ziff · 1933
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A Certain Category of 𝔤 \mathfrak{g} -Modules
I Bernšteĭn, I Gel’fand and S Gel’fand · 1976
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Characters of Typical Representations of Classical Lie Superalgebras
V Kac · 1977
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T Creutzig and Y Hikida · 1977
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Percolation Theory for Mathematicians
H Kesten · 1982
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Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
A Belavin, A Polyakov and A Zamolodchikov · 1984
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Non-Abelian Bosonization in Two Dimensions
E Witten · 1984
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Conformal Algebra and Multipoint Correlation Functions in 2D Statistical Models
V Dotsenko and V Fateev · 1984
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Infinite Additional Symmetries in Two-Dimensional Conformal Quantum Field Theory
A Zamolodchikov · 1985
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Infinite-Dimensional Algebras and the Conformal Bootstrap
A Kent · 1986
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Exact Determination of the Percolation Hull Exponent in Two Dimensions
H Saleur and B Duplantier · 1987
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Fusion Rules and Modular Transformations in 2D Conformal Field Theory
E Verlinde · 1988
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Modular Invariant Representations of Infinite-Dimensional Lie Algebras and Superalgebras
V Kac and M Wakimoto · 1988
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Fusion Rules and (Sub)Modular Invariant Partition Functions in Nonunitary Theories
I Koh and P Sorba · 1988
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Modular and Conformal Invariance Constraints in Representation Theory of Affine Algebras
V Kac and M Wakimoto · 1988
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Extended Chiral Algebras and Modular Invariant Partition Functions
A Schellekens and S Yankielowicz · 1989
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Simple Currents, Modular Invariants and Fixed Points
A Schellekens and S Yankielowicz · 1990
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Fock Representations and BRST Cohomology in OPEN S L ( 2 CLOSE ) SL\mathopen{}\mathclose{{\left(2}}\right) Current Algebra
D Bernard and G Felder · 1990
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Fractional Level Kac-Moody Algebras and Nonunitary Coset Conformal Field Theories
P Mathieu and M Walton · 1990
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Extended Conformal Algebras Generated by a Multiplet of Primary Fields
H Kausch · 1991
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Quantum Field Theory for the Multivariable Alexander-Conway Polynomial
L Rozansky and H Saleur · 1992
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Critical Percolation in Finite Geometries
J Cardy · 1992
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Fusion Rules for the Fractional Level OPEN s l ( 2 CLOSE ) ^ \widehat{sl\mathopen{}\mathclose{{\left(2}}\right)} Algebra
H Awata and Y Yamada · 1992
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On the Universality of Crossing Probabilities in Two-Dimensional Percolation
R Langlands, C Pichet, P Pouliot and Y Saint-Aubin · 1992
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The Annihilating Ideals of Minimal Models
B Feigin, T Nakanishi and H Ooguri · 1992
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S and T matrices for the Super OPEN U ( 1 , 1 CLOSE ) U\mathopen{}\mathclose{{\left(1,1}}\right) WZW Model: Application to Surgery and Three Manifolds Invariants Based on the Alexander-Conway Polynomial
L Rozansky and H Saleur · 1993
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Logarithmic Operators in Conformal Field Theory
V Gurarie · 1993
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How Complete is the Classification of W Symmetries?
W Eholzer, A Honecker and R Hübel · 1993
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Quasirational Fusion Products
W Nahm · 1994
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Fusion Algebra at a Rational Level and Cohomology of Nilpotent Subalgebras of Supersymmetric s l ^ 2 \widehat{sl}_{2}
B Feigin and F Malikov · 1994
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Conformal Invariance in Two-Dimensional Percolation
R Langlands, P Pouliot and Y Saint-Aubin · 1994
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Fusion in Conformal Field Theory as the Tensor Product of the Symmetry Algebra
M Gaberdiel · 1994
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Fusion Rules of Chiral Algebras
M Gaberdiel · 1994
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Integrable Highest Weight Modules over Affine Superalgebras and Number Theory
V Kac and M Wakimoto · 1994
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Operator Algebra of the SL(2) Conformal Field Theories
O Andreev · 1995
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Vertex Operator Algebras Associated to Modular Invariant Representations of A 1 OPEN ( 1 CLOSE ) A_{1}^{\mathopen{}\mathclose{{\left(1}}\right)}
D Adamović and A Milas · 1995
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Indecomposable Fusion Products
M Gaberdiel and H Kausch · 1996
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On Modular Invariant Partition Functions of Conformal Field Theories with Logarithmic Operators
M Flohr · 1996
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A Rational Logarithmic Conformal Field Theory
M Gaberdiel and H Kausch · 1996
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Fusion, Crossing and Monodromy in Conformal Field Theory Based on S L ( 2 ) SL(2) Current Algebra with Fractional Level
J Petersen, J Rasmussen and M Yu · 1996
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A Crossing Probability for Critical Percolation in Two-Dimensions
G Watts · 1996
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A Braided Monoidal Category for Free Super-Bosons
I Runkel · 1996
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Cellular Algebras
J Graham and G Lehrer · 1996
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Conformal Field Theory
P Di Francesco, P Mathieu and D Sénéchal · 1997
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Vertex Operator Algebras Associated to Admissible Representations of s l ^ 2 \widehat{sl}_{2}
C Dong, H Li and G Mason · 1997
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A 1 OPEN ( 1 CLOSE ) A_{1}^{\mathopen{}\mathclose{{\left(1}}\right)} Admissible Representations — Fusion Transformations and Local Correlators
P Furlan, A Ganchev and V Petkova · 1997
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OPEN O S P ( 1 | 2 CLOSE ) OSP\mathopen{}\mathclose{{\left(1\middle|2}}\right) Conformal Field Theory
I Ennes, A Ramallo and J Sanchez de Santos · 1997
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Fusion of Twisted Representations
M Gaberdiel · 1997
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Representation Theory of the Affine Lie Superalgebra OPEN s l ( 2 | 1 ; C ) sl\mathopen{}\mathclose{{\left(2\middle|1;C}}\right) at Fractional Level
P Bowcock and A Taormina · 1997
Cited alongside, same era.
On the Structure of Verma Modules over Virasoro and Neveu-Schwarz Algebras
A Astashkevich · 1997
Cited alongside, same era.
Classification of Irreducible Modules of W 3 W_{3} Algebra with c = − 2 c=-2
W Wang · 1998
Cited alongside, same era.
Equivalence Between Chain Categories of Representations of Affine OPEN s l ( 2 CLOSE ) sl\mathopen{}\mathclose{{\left(2}}\right) and N = 2 N=2 Superconformal Algebras
B Feigin, A Semikhatov and I Yu Tipunin · 1998
Cited alongside, same era.
Fusion Rules for Admissible Representations of Affine Algebras: The Case of A 2 OPEN ( 1 CLOSE ) A_{2}^{\mathopen{}\mathclose{{\left(1}}\right)}
P Furlan, A Ganchev and V Petkova · 1998
Cited alongside, same era.
The Extended Algebra of the Minimal Models
P Mathieu and D Ridout · 2007
Later among the works it cites.
From Percolation to Logarithmic Conformal Field Theory
P Mathieu and D Ridout · 2007
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On the OPEN S U ( 2 | 1 CLOSE ) SU\mathopen{}\mathclose{{\left(2\middle|1}}\right) WZW Model and its Statistical Mechanics Applications
H Saleur and V Schomerus · 2007
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Fusion Algebra of Critical Percolation
J Rasmussen and P Pearce · 2007
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Free Fermion Resolution of Supergroup WZNW Models
T Quella and V Schomerus · 2007
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Characters of Admissible Representations of the Affine Superalgebra OPEN s l ( 2 | 1 ; C ) k sl\mathopen{}\mathclose{{\left(2\middle|1;C}}\right)_{k}
P Bowcock, M Hayes and A Taormina · 1998
Cited alongside, same era.
The Large N N Limit of Superconformal Field Theories and Supergravity
J Maldacena · 1998
Cited alongside, same era.
A Local Logarithmic Conformal Field Theory
M Gaberdiel and H Kausch · 1999
Cited alongside, same era.
On Principal Admissible Representations and Conformal Field Theory
P Mathieu and M Walton · 1999
Cited alongside, same era.
Conformal Field Theory of AdS Background with Ramond-Ramond Flux
N Berkovits, C Vafa and E Witten · 1999
Cited alongside, same era.
c c -Theorem for Disordered Systems
V Gurarie · 1999
Cited alongside, same era.
OPEN P S L ( n | n CLOSE ) PSL\mathopen{}\mathclose{{\left(n\middle|n}}\right) Sigma Model as a Conformal Field Theory
M Bershadsky, S Zhukov and A Vaintrob · 1999
Cited alongside, same era.
Logarithmic Intertwining Operators and OPEN W ( 2 , 2 p − 1 CLOSE ) W\mathopen{}\mathclose{{\left(2,2p-1}}\right) -Algebras
D Adamović and A Milas · 2007
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The WZNW model on OPEN P S U ( 1 , 1 | 2 ) PSU\mathopen{}\mathclose{{\left(1,1\middle|2}}\right)
G Gotz, T Quella and V Schomerus · 2007
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Y Hikida and V Schomerus · 2007
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Conformal Invariance and Quantum Integrability of Sigma Models on Symmetric Superspaces
A Babichenko · 2007
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Fusion Algebras of Logarithmic Minimal Models
J Rasmussen and P Pearce · 2007
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From Boundary to Bulk in Logarithmic CFT
M Gaberdiel and I Runkel · 2008
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P Mathieu and D Ridout · 2008
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Integrable Boundary Conditions and W W -Extended Fusion in the Logarithmic Minimal Models OPEN L M ( 1 , p CLOSE ) LM\mathopen{}\mathclose{{\left(1,p}}\right)
P Pearce, J Rasmussen and P Ruelle · 2008
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D Adamović and A Milas · 2008
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W-Extended Fusion Algebra of Critical Percolation
J Rasmussen and P Pearce · 2008
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T Creutzig, T Quella and V Schomerus · 2008
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Boundary Spectra in Superspace Sigma-Models
T Quella, V Schomerus and T Creutzig · 2008
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D Ridout · 2009
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On Staggered Indecomposable Virasoro Modules
K Kytölä and D Ridout · 2009
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On the Percolation BCFT and the Crossing Probability of Watts
D Ridout · 2009
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T Creutzig and P Rønne · 2009
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Fusion Rules and Boundary Conditions in the c = 0 c=0 Triplet Model
M Gaberdiel, I Runkel and S Wood · 2009
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A LeClair · 2009
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Boundary Correlators in Supergroup WZNW Models
T Creutzig and V Schomerus · 2009
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T Creutzig · 2009
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SLE Local Martingales in Logarithmic Representations
K Kytölä · 2009
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Radford, Drinfeld and Cardy Boundary States in ( 1 , p ) (1,p) Logarithmic Conformal Field Models
A Gainutdinov and I Yu Tipunin · 2009
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D Ridout · 2010
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J Dubail, J Jacobsen and H Saleur · 2010
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P Pearce, J Rasmussen and P Ruelle · 2010
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S Wood · 2010
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D Adamović and A Milas · 2010
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From World-Sheet Supersymmetry to Super Target Spaces
T Creutzig and P Rønne · 2010
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Cohomological Reduction of Sigma Models
C Candu, T Creutzig, V Mitev and V Schomerus · 2010
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A Modular Invariant Bulk Theory for the c = 0 c=0 Triplet Model
M Gaberdiel, I Runkel and S Wood · 2011
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J Rasmussen · 2011
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On Modular Properties of the 𝖠𝖽𝖲 3 \mathsf{AdS}_{3} CFT
W Baron and C Núñez · 2011
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J Fjelstad · 2011
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Supergroup - Extended Super Liouville Correspondence
T Creutzig, Y Hikida and P Rønne · 2011
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Indecomposability Parameters in Chiral Logarithmic Conformal Field Theory
R Vasseur, J Jacobsen and H Saleur · 2011
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Modular Data and Verlinde Formulae for Fractional Level WZW Models I
T Creutzig and D Ridout · 2012
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D Adamović and A Milas · 2012
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Non-Chiral Logarithmic Couplings for the Virasoro Algebra
D Ridout · 2012
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The Puzzle of Bulk Conformal Field Theories at Central Charge c = 0 c=0
R Vasseur, A Gainutdinov, J Jacobsen and H Saleur · 2012
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Relating the Archetypes of Logarithmic Conformal Field Theory
T Creutzig and D Ridout · 2013
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T Creutzig and D Ridout · 2013
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Takiff Superalgebras and Conformal Field Theory
A Babichenko and D Ridout · 2013
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Lattice Fusion Rules and Logarithmic Operator Product Expansions
A Gainutdinov and R Vasseur · 2013
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