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We consider exceptional vertex operator algebras for which particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendants of the vacuum.
A. Belavin, A. Polyakov, and A. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory
1984
Earlier work this paper cites.
J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker and R.A. Wilson, Atlas of finite groups
1985
Earlier work this paper cites.
R. Borcherds, Vertex algebras, Kac-Moody algebras and the Monster
1986
Earlier work this paper cites.
V. Kac and A.K. Raina, Bombay lectures on highest weight representations of infinite dimensional Lie algebras
1987
Earlier work this paper cites.
I. Frenkel, J. Lepowsky and A. Meurman, Vertex operator algebras and the Monster
1988
Earlier work this paper cites.
I. Frenkel, Y-Z. Huang and J. Lepowsky, On axiomatic approaches to vertex operator algebras and modules
1993
Earlier work this paper cites.
W. Wang, Rationality of Virasoro vertex operator algebras
1993
Earlier work this paper cites.
H. Li, Symmetric invariant bilinear forms on vertex operator algebras
1994
Earlier work this paper cites.
A.M. Cohen, Some indications that the exceptional groups form a series
1996
Earlier work this paper cites.
A.M. Cohen and R. de Man, Computational evidence for Deligne’s conjecture regarding exceptional Lie groups
1996
Earlier work this paper cites.
P. Deligne, La série exceptionnelle de groupes de Lie (The exceptional series of Lie groups)
1996
Cited alongside, same era.
P. Deligne and R. de Man, La série exceptionnelle de groupes de Lie II (The exceptional series of Lie groups II)
1996
Cited alongside, same era.
G. Höhn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster
1996
Cited alongside, same era.
Y. Zhu, Modular invariance of characters of vertex operator algebras
1996
Cited alongside, same era.
R.L.Griess, The vertex operator algebra related to E 8 E_{8} with automorphism group O + ( 10 , 2 ) O^{+}(10,2)
1998
Cited alongside, same era.
V. Kac, Vertex operator algebras for beginners
1998
Cited alongside, same era.
J.M. Landsberg and L. Manivel, Triality, exceptional Lie algebras and the Deligne dimension formulas
2002
Later among the works it cites.
G. Mason and M.P. Tuite, Torus chiral n-point functions for free boson and lattice vertex operator algebras
2003
Later among the works it cites.
J. Lepowsky and H. Li, Introduction to vertex operator algebras and their representations
2004
Later among the works it cites.
H. Shimakura, The automorphism group of the vertex operator algebra V L + V_{L}^{+} for an even lattice L without roots
2004
Later among the works it cites.
H. Maruoka, A. Matsuo and H. Shimakura, Trace formulas for representations of simple Lie algebras via vertex operator algebras
2005
Later among the works it cites.
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J. Polchinski, String Theory,
1998
Cited alongside, same era.
A. Matsuo and K. Nagatomo, Axioms for a vertex algebra and the locality of quantum fields
1999
Cited alongside, same era.
A. Matsuo, Norton’s trace formula for the Griess algebra of a vertex operator algebra with large symmetry
2001
Cited alongside, same era.
K. Hurley, The space of graded traces for holomorphic vertex operator algebras of small central charge
Cited in the paper.
G. Mason, 2-Dimensional vector-valued modular forms
Cited in the paper.
Cited in the paper.
2006
Later among the works it cites.
M.P. Tuite, The Virasoro algebra and some exceptional Lie and finite groups
2007
Later among the works it cites.
G. Höhn, Conformal designs based on vertex operator algebras
2008
Closest in time.
G. Mason, M.P. Tuite and A. Zuevsky, Torus chiral n-point functions for ℝ \mathbb{R} graded vertex operator superalgebras and continuous fermion orbifolds
2008
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