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It was recently shown that gl^(1|1) admits an infinite family of simple current extensions.
Gauge Transformations and Diffeomorphisms
A Polyakov · 1990
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Conformal Field Theories via Hamiltonian Reduction
M Bershadsky · 1991
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Quantum Field Theory for the Multivariable Alexander-Conway Polynomial
L Rozansky and H Saleur · 1992
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S and T Matrices for the Super U ( 1 , 1 ) U\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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Quasirational Fusion Products
W Nahm · 1994
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A Rational Logarithmic Conformal Field Theory
M Gaberdiel and H Kausch · 1996
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Indecomposable Fusion Products
M Gaberdiel and H Kausch · 1996
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Symplectic Fermions
H Kausch · 2000
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g l ( N | N ) gl\left(N\middle|N\right) Super Current Algebras for Disordered Dirac Fermions in Two-Dimensions
S Guruswamy, A LeClair, and A Ludwig · 2000
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W n ( 2 ) W^{\left(2\right)}_{n} Algebras
B Feigin and A Semikhatov · 2004
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The G L ( 1 ∣ 1 ) GL\left(1\mid 1\right) WZW Model: From Supergeometry to Logarithmic CFT
H Saleur and V Schomerus · 2006
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The Extended Algebra of the S U ( 2 ) SU\left(2\right) Wess-Zumino-Witten Models
P Mathieu and D Ridout · 2007
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The Extended Algebra of the Minimal Models
P Mathieu and D Ridout · 2007
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Representation Theory of 𝔰 𝔩 ( 2 | 1 ) \mathfrak{sl}\left(2\middle|1\right)
G Gotz, T Quella, and V Schomerus · 2007
Boundary Correlators in Supergroup WZNW Models
T Creutzig and V Schomerus · 2009
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T Creutzig · 2009
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𝔰 𝔩 ^ ( 2 ) − 1 / 2 \widehat{\mathfrak{sl}}\left(2\right)_{-1/2} : A Case Study
D Ridout · 2009
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On Staggered Indecomposable Virasoro Modules
K Kytölä and D Ridout · 2009
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The G L ( 1 | 1 ) GL\left(1\middle|1\right) -Symplectic Fermion Correspondence
T Creutzig and P Rønne · 2009
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Free Fermion Resolution of Supergroup WZNW Models
T Quella and V Schomerus · 2007
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Branes in the G L ( 1 | 1 ) GL\left(1\middle|1\right) WZNW-Model
T Creutzig, T Quella, and V Schomerus · 2008
Cited alongside, same era.
Relating the Archetypes of Logarithmic Conformal Field Theory
T Creutzig and D Ridout
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A Commutant Realization of W n ( 2 ) W^{\left(2\right)}_{n} at Critical Level
T Creutzig, P Gao, and A Linshaw
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From World-Sheet Supersymmetry to Super Target Spaces
T Creutzig and P Rønne · 2010
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𝔰 𝔩 ^ ( 2 ) − 1 / 2 \widehat{\mathfrak{sl}}\left(2\right)_{-1/2} and the Triplet Model
D Ridout · 2010
Later among the works it cites.