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In this expository note, we compare the fusion product of conformal field theory, as defined by Gaberdiel and used in the Nahm-Gaberdiel-Kausch (NGK) algorithm, with the $P(w)$-tensor product of vertex operator algebra modules, as defined by Huang, Lepowsky and Zhang (HLZ).
Logarithmic tensor product theory I–VIII
Y-Z Huang, J Lepowsky, and L Zhang · 1929
Earlier work this paper cites.
Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras
B Feigin and D Fuchs · 1988
Earlier work this paper cites.
Polynomial equations for rational conformal field theories
G Moore and N Seiberg · 1988
Earlier work this paper cites.
Vertex Operator Algebras and the Monster
I Frenkel, J Lepowsky, and A Meurman · 1988
Earlier work this paper cites.
Classical and quantum conformal field theory
G Moore and N Seiberg · 1989
Earlier work this paper cites.
Classical and quantum conformal field theory
G Moore and N Seiberg · 1989
Earlier work this paper cites.
Affine Lie algebras and quantum groups
D Kazhdan and G Lusztig · 1991
Earlier work this paper cites.
Vertex operator algebras associated to representations of affine and Virasoro algebras
I Frenkel and Y Zhu · 1992
Earlier work this paper cites.
The annihilating ideals of minimal models
B Feigin, T Nakanishi, and H Ooguri · 1992
Earlier work this paper cites.
Tensor structures arising from affine Lie algebras. I
D Kazhdan and G Lusztig · 1993
Earlier work this paper cites.
Tensor structures arising from affine Lie algebras. II
D Kazhdan and G Lusztig · 1993
Earlier work this paper cites.
Logarithmic operators in conformal field theory
V Gurarie · 1993
Earlier work this paper cites.
On axiomatic approaches to vertex operator algebras and modules
I Frenkel, Y-Z Huang, and J Lepowsky · 1993
Earlier work this paper cites.
Generalized vertex algebras and relative vertex operators
C Dong and J Lepowsky · 1993
Earlier work this paper cites.
Quasirational fusion products
W Nahm · 1994
Earlier work this paper cites.
Representation theory and tensor product theory for vertex operator algebras
H Li · 1994
Earlier work this paper cites.
Fusion in conformal field theory as the tensor product of the symmetry algebra
M Gaberdiel · 1994
Earlier work this paper cites.
Fusion rules of chiral algebras
M Gaberdiel · 1994
Earlier work this paper cites.
Tensor structures arising from affine Lie algebras. III
D Kazhdan and G Lusztig · 1994
Earlier work this paper cites.
Tensor structures arising from affine Lie algebras. IV
D Kazhdan and G Lusztig · 1994
Earlier work this paper cites.
Tensor products of modules for a vertex operator algebra and vertex tensor categories
Y-Z Huang and J Lepowsky · 1994
Earlier work this paper cites.
A theory of tensor products for module categories for a vertex operator algebra, I
Y-Z Huang and J Lepowsky · 1995
Earlier work this paper cites.
A theory of tensor products for module categories for a vertex operator algebra, II
Y-Z Huang and J Lepowsky · 1995
Earlier work this paper cites.
A theory of tensor products for module categories for a vertex operator algebra. III
Y-Z Huang and J Lepowsky · 1995
Earlier work this paper cites.
Indecomposable fusion products
M Gaberdiel and H Kausch · 1996
Cited alongside, same era.
A rational logarithmic conformal field theory
M Gaberdiel and H Kausch · 1996
Cited alongside, same era.
Vertex Algebras for Beginners
V Kac · 1996
Cited alongside, same era.
Modular invariance of characters of vertex operator algebras
Y Zhu · 1996
Cited alongside, same era.
Fusion of twisted representations
M Gaberdiel · 1997
Cited alongside, same era.
Two-dimensional conformal geometry and vertex operator algebras
Y-Z Huang · 1997
Cited alongside, same era.
On the structure of Verma modules over Virasoro and Neveu-Schwarz algebras
Fusion rules and boundary conditions in the c = 0 c=0 triplet model
M Gaberdiel, I Runkel, and S Wood · 2009
Later among the works it cites.
Lattice construction of logarithmic modules for certain vertex algebras
D Adamović and A Milas · 2009
Later among the works it cites.
On staggered indecomposable Virasoro modules
K Kytölä and D Ridout · 2009
Later among the works it cites.
Cofiniteness conditions, projective covers and the logarithmic tensor product theory
Y-Z Huang · 2009
Later among the works it cites.
Fusion rules of the W ( p , q ) W\left(p,q\right) triplet models
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A Astashkevich · 1997
Cited alongside, same era.
An analogue of the Hom functor and a generalized nuclear democracy theorem
H Li · 1998
Cited alongside, same era.
Vertex operator algebras and associative algebras
C Dong, H Li, and G Mason · 1998
Cited alongside, same era.
An introduction to conformal field theory
M Gaberdiel · 2000
Cited alongside, same era.
Fusion rules and logarithmic representations of a WZW model at fractional level
M Gaberdiel · 2001
Cited alongside, same era.
Vertex Algebras and Algebraic Curves
E Frenkel and D Ben-Zvi · 2001
Cited alongside, same era.
S Wood · 2010
Later among the works it cites.
J Rasmussen · 2011
Later among the works it cites.
D Ridout · 2011
Later among the works it cites.
Logarithmic intertwining operators and associative algebras
Y-Z Huang and J Yang · 2012
Later among the works it cites.
Tensor categories and the mathematics of rational and logarithmic conformal field theory
Y-Z Huang and J Lepowsky · 2013
Later among the works it cites.
Logarithmic conformal field theory: beyond an introduction
T Creutzig and D Ridout · 2013
Later among the works it cites.
The tensor structure on the representation category of the 𝒲 p \mathcal{W}_{p} triplet algebra
A Tsuchiya and S Wood · 2013
Later among the works it cites.
Relating the archetypes of logarithmic conformal field theory
T Creutzig and D Ridout · 2013
Later among the works it cites.
Lattice fusion rules and logarithmic operator product expansions
A Gainutdinov and R Vasseur · 2013
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C 1 C_{1} -cofiniteness and fusion products for vertex operator algebras
M Miyamoto · 2014
Later among the works it cites.
Braided tensor categories and extensions of vertex operator algebras
Y-Z Huang, A Kirillov Jr, and J Lepowsky · 2015
Later among the works it cites.
Boundary algebras and Kac modules for logarithmic minimal models
A Morin-Duchesne, J Rasmussen, and D Ridout · 2015
Later among the works it cites.
Fusion rules for the logarithmic N = 1 N=1 superconformal minimal models I: The Neveu-Schwarz sector
M Canagasabey, J Rasmussen, and D Ridout · 2015
Later among the works it cites.
Bosonic ghosts at c = 2 c=2 as a logarithmic CFT
D Ridout and S Wood · 2015
Later among the works it cites.
The Verlinde formula in logarithmic CFT
D Ridout and S Wood · 2015
Later among the works it cites.
M Canagasabey and D Ridout · 2016
Later among the works it cites.
Braided tensor categories of admissible modules for affine Lie algebras
T Creutzig, Y-Z Huang, and J Yang · 2018
Closest in time.
Schur-Weyl duality for Heisenberg cosets
T Creutzig, S Kanade, A Linshaw, and D Ridout · 2019
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Logarithmic conformal field theory: A lattice approach
A Gainutdinov, J Jacobsen, N Read, H Saleur, and R Vasseur · 2082
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