Fetching the paper…
Reading the bibliography…
A general method for constructing logarithmic modules in vertex operator algebra theory is presented.
V. Kac and M. Wakimoto, Modular invariant representations of infinite dimensional Lie algebras and superalgebras, Proc. Natl. Acad. Sci. USA, Vol. 85
1988
Earlier work this paper cites.
H. G. Kausch, Extended conformal algebras generated by multiplet of primary fields, Phys. Lett. 259
1991
Earlier work this paper cites.
D. Adamović, Some rational vertex algebras, Glas. Mat. Ser. III 29
1994
Earlier work this paper cites.
H. Li, Symmetric invariant bilinear forms on vertex operator algebras, J. Pure Appl. Algebra 96
1994
Earlier work this paper cites.
D. Adamović and A. Milas, Vertex operator algebras associated to the modular invariant representations for A 1 ( 1 ) A_{1}^{(1)} , Math. Res. Lett. 2
1995
Earlier work this paper cites.
C. Dong, H. Li, and G. Mason, Simple currents and extensions of vertex operator algebras. Comm. Math. Phys. 180
1996
Earlier work this paper cites.
M. Flohr, On modular invariant partition functions of conformal field theories with logarithmic operators, Internat. J. Modern Phys. A 11
1996
Earlier work this paper cites.
M. Gaberdiel and H. G. Kausch, A rational logarithmic conformal field theory, Phys. Lett B 386
1996
Earlier work this paper cites.
H. Li, The physics superselection principal in vertex operator algebra theory, J. Algebra 196
1997
Earlier work this paper cites.
V. Kac, Vertex algebras for beginners
1998
Earlier work this paper cites.
M. Gaberdiel, Fusion rules and logarithmic representations of a WZW model at fractional level, Nuclear Phys. B 618
2001
Earlier work this paper cites.
J. Fjelstad, J. Fuchs, S. Hwang, A.M. Semikhatov and I. Yu. Tipunin, Logarithmic conformal field theories via logarithmic deformations, Nuclear Phys. B 633
2002
Earlier work this paper cites.
A. Milas, Weak modules and logarithmic intertwining operators for vertex operator algebras. Recent developments in infinite-dimensional Lie algebras and conformal field theory (Charlottesville, VA, 2000), 201–225, Contemp. Math
2002
Earlier work this paper cites.
A. Milas, Fusion rings for degenerate minimal models, J. Algebra 254
2002
Cited alongside, same era.
D. Adamović, Classification of irreducible modules of certain subalgebras of free boson vertex algebra, J. Algebra 270
2003
Cited alongside, same era.
M. Gaberdiel, An algebraic approach to logarithmic conformal field theory, Proceedings of the School and Workshop on Logarithmic Conformal Field Theory and its Applications (Tehran, 2001), Internat. J. Modern Phys. A 18
2003
Cited alongside, same era.
J. Lepowsky and H. Li, Introduction to Vertex Operator Algebras and Their Representations
2003
Cited alongside, same era.
J. Fuchs, S. Hwang, A.M. Semikhatov and I. Yu. Tipunin, Nonsemisimple Fusion Algebras and the Verlinde Formula, Comm. Math. Phys. 247
2004
Cited alongside, same era.
B.L. Feigin, A.M. Gaĭnutdinov, A. M. Semikhatov, and I. Yu Tipunin, Logarithmic extensions of minimal models: characters and modular transformations, Nucl. Phys. B 757
2006
Later among the works it cites.
T. Abe, A ℤ 2 {\mathbb{Z}}_{2} -orbifold model of the symplectic fermionic vertex operator superalgebra. Math. Z
2007
Later among the works it cites.
D. Adamović and A. Milas, Logarithmic intertwining operators and 𝒲 ( 2 , 2 p − 1 ) \mathcal{W}(2,2p-1) -algebras, Journal of Math. Physics
2007
Later among the works it cites.
J. Fuchs,On non-semisimple fusion rules and tensor categories, Contemporary Mathematics 442
2007
Later among the works it cites.
O. Perše, Vertex operator algebras associated to type B B affine Lie algebras on admissible half-integer levels, J. Algebra 307
2007
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Miyamoto, Modular invariance of vertex operator algebras satisfying C 2 C_{2} -cofiniteness. Duke Math. J
2004
Cited alongside, same era.
D. Adamović, A construction of admissible A 1 ( 1 ) A_{1}^{(1)} –modules of level − 4 3 -\tfrac{4}{3} , J. Pure Appl. Algebra 196
2005
Cited alongside, same era.
T. Arakawa, Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture, Duke Math. J
2005
Cited alongside, same era.
N. Carqueville and M. Flohr, Nonmeromorphic operator product expansion and C 2 C_{2} -cofiniteness for a family of 𝒲 \mathcal{W} -algebras. J. Phys
2006
Cited alongside, same era.
A. De Sole and V. Kac, Finite vs. affine W W -algebras, Japanese Journal of Math
2006
Cited alongside, same era.
B.L. Feigin, A.M. Gaĭnutdinov, A. M. Semikhatov, and I. Yu Tipunin, Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center. Comm. Math. Phys
2006
Cited alongside, same era.
B.L. Feigin, A.M. Gaĭnutdinov, A. M. Semikhatov, and I. Yu Tipunin, Kazhdan–Lusztig correspondence for the representation category of the triplet W-algebra in logarithmic CFT, Theor.Math.Phys. 148 (2006) 1210-1235; Teor.Mat.Fiz. 148
2006
Cited alongside, same era.
D. Adamović and A. Milas, On the triplet vertex algebra 𝒲 ( p ) \mathcal{W}(p) , Advances in Math
2008
Later among the works it cites.
2008
Later among the works it cites.
V. Kac and M. Wakimoto, On rationality of W-algebras, Transform. Groups 13
2008
Later among the works it cites.
A. Milas, Logarithmic intertwining operators and vertex operators, Comm. Math. Phys
2008
Later among the works it cites.
D. Adamović and A. Milas, The N = 1 N=1 triplet vertex operator superalgebras, Comm. Math. Phys. 288
2009
Closest in time.
D. Adamović and A. Milas, An analogue of modular BPZ-equations in logarithmic (super)conformal field theory, Vertex Operator Algebras and Related Areas Edited by: Maarten Bergvelt, Gaywalee Yamskulna and Wenhua Zhao, Normal, IL 2009; Contemporary Mathematics 497
2009
Closest in time.
Y.-Z. Huang, Cofiniteness conditions, projective covers and the logarithmic tensor product theory, J. Pure Appl. Algebra 213
2009
Closest in time.