Fetching the paper…
Reading the bibliography…
We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras.
S. MacLane, Cohomology theory of abelian groups
1952
Earlier work this paper cites.
V. V. Nikulin, Integral symmetric bilinear forms and some of their geometric applications
1980
Earlier work this paper cites.
R. E. Borcherds, Vertex algebras, Kac-Moody algebras and the Monster
1986
Earlier work this paper cites.
I. Frenkel, J. Lepowsky, A. Meurman, Vertex operator algebras and the Monster
1988
Earlier work this paper cites.
V. G. Kac, Infinite-dimensional Lie algebras
1990
Earlier work this paper cites.
R. E. Borcherds, Monstrous moonshine and monstrous Lie superalgebras
1992
Earlier work this paper cites.
I. B. Frenkel, Y. Zhu, Vertex operator algebras associated to representations of affine and Virasoro algebras
1992
Earlier work this paper cites.
C. Dong, J. Lepowsky, Generalized vertex algebras and relative vertex operators
1993
Earlier work this paper cites.
A. N. Schellekens, Meromorphic c = 24 c\!=\!24 conformal field theories
1993
Earlier work this paper cites.
C. Dong, Representations of the moonshine module vertex operator algebra
1994
Earlier work this paper cites.
C. Dong, J. Lepowsky, The algebraic structure of relative twisted vertex operators
1996
Earlier work this paper cites.
Y. Zhu, Modular invariance of characters of vertex operator algebras
1996
Earlier work this paper cites.
C. Dong, G. Mason, On quantum Galois theory
1997
Earlier work this paper cites.
R. E. Borcherds, Automorphic forms with singularities on Grassmannians
1998
Earlier work this paper cites.
P. S. Montague, Conjectured ℤ 2 \mathbb{Z}_{2} -orbifold constructions of self-dual conformal field theories at central charge 24 – the neighborhood graph
1998
Cited alongside, same era.
J. H. Conway, N. J. A. Sloane, Sphere packings, lattices and groups
1999
Cited alongside, same era.
C. Dong, H. Li, G. Mason, Modular-invariance of trace functions in orbifold theory and generalized Moonshine
2000
Cited alongside, same era.
Y.-Z. Huang, Generalized rationality and a “Jacobi identity” for intertwining operator algebras
2000
Cited alongside, same era.
M. Miyamoto, A modular invariance on the theta functions defined on vertex operator algebras
2000
Cited alongside, same era.
B. Bakalov, V. G. Kac, Twisted modules over lattice vertex algebras
C.-H. Lam, H. Yamauchi, On the structure of framed vertex operator algebras and their pointwise frame stabilizers
2008
Later among the works it cites.
N. R. Scheithauer, The Weil representation of 𝑆𝐿 2 ( ℤ ) \mathit{SL}_{2}(\mathbb{Z}) and some applications
2009
Later among the works it cites.
V. Drinfeld, S. Gelaki, D. Nikshych, V. Ostrik, On braided fusion categories I
2010
Later among the works it cites.
M. Krauel, G. Mason, Vertex operator algebras and weak Jacobi forms
2012
Later among the works it cites.
C. Dong, X. Jiao, F. Xu, Quantum dimensions and quantum Galois theory
2013
Later among the works it cites.
M. Miyamoto, A ℤ 3 \mathbb{Z}_{3} -orbifold theory of lattice vertex operator algebra and ℤ 3 \mathbb{Z}_{3} -orbifold constructions
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2004
Cited alongside, same era.
C. Dong, G. Mason, Holomorphic vertex operator algebras of small central charge
2004
Cited alongside, same era.
C. Dong, G. Mason, Rational vertex operator algebras and the effective central charge
2004
Cited alongside, same era.
M. Miyamoto, K. Tanabe, Uniform product of A g , n ( V ) A_{g,n}(V) for an orbifold model V V and G G -twisted Zhu algebra
2004
Cited alongside, same era.
H. Yamauchi, Module categories of simple current extensions of vertex operator algebras
2004
Cited alongside, same era.
Y.-Z. Huang, Differential equations and intertwining operators
2005
Cited alongside, same era.
Y.-Z. Huang, Vertex operator algebras and the Verlinde conjecture
2008
Cited alongside, same era.
2013
Later among the works it cites.
G. Höhn, N. R. Scheithauer, A generalized Kac-Moody algebra of rank 14
2014
Later among the works it cites.
C. Dong, X. Lin, S.-H. Ng, Congruence property in conformal field theory
2015
Closest in time.
M. Miyamoto, C 2 C_{2} -cofiniteness of cyclic-orbifold models
2015
Closest in time.
C.-H. Lam, H. Shimakura, Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms
2016
Closest in time.
C.-H. Lam, H. Shimakura, A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type A 6 , 7 A_{6,7}
2016
Closest in time.
D. Sagaki, H. Shimakura, Application of a ℤ 3 \mathbb{Z}_{3} -orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices
2016
Closest in time.
C. Dong, L. Ren, F. Xu, On Orbifold Theory
2017
Closest in time.