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Recent work has related the equivariant elliptic genera of sigma models with K3 surface target to a vertex operator superalgebra that realizes moonshine for Conway's group.
Topological methods in algebraic geometry
F. Hirzebruch, · 1966
Earlier work this paper cites.
J. H. Conway, A perfect group of order 8,315,553,613,086 , 720 , 000 8,315,553,613,086,720,000 and the sporadic simple groups , Proc. Nat. Acad. Sci. U.S.A. 61
1968
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J. H. Conway, A group of order 8,315,553,613,086 , 720 , 000 8,315,553,613,086,720,000 , Bull. London Math. Soc. 1
1969
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Modular forms and functions
R. A. Rankin · 1977
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Monstrous moonshine
J. H. Conway and S. P. Norton, · 1979
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Finite groups and modular functions
J. G. Thompson, · 1979
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Some numerology between the Fischer-Griess Monster and the elliptic modular function
J. G. Thompson, · 1979
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Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
I. B. Frenkel · 1981
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A natural representation of the Fischer-Griess Monster with the modular function J J as character ,
I. Frenkel, J. Lepowsky and A. Meurman, · 1984
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A moonshine module for the Monster
I. Frenkel, J. Lepowsky and A. Meurman, · 1985
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Unitary representations of the N = 4 N=4 superconformal algebra
T. Eguchi and A. Taormina, · 1987
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Phys. Lett. B. 195(2) 202–208, 1987
F. Ravanini and S.-K. Yang, Modular invariance in N = 2 N=2 superconformal field theories · 1987
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Character formulas for the N = 4 N=4 superconformal algebra
T. Eguchi and A. Taormina, · 1988
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On the unitary representations of N = 2 N=2 and N = 4 N=4 superconformal algebras
T. Eguchi and A. Taormina, · 1988
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Vertex operator algebras and the Monster
I. Frenkel, J. Lepowsky and A. Meurman, · 1988
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Factoring Out Free Fermions and Superconformal Algebras
P. Goddard and A. Schwimmer · 1988
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Superconformal Algebras and String Compactification on Manifolds with SU(N) Holonomy
T. Eguchi, H. Ooguri, A. Taormina and S.-K. Yang, · 1989
Earlier work this paper cites.
Generalized elliptic genera and Baker-Akhiezer functions
I. M. Krichever, · 1990
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Komplexe elliptische Geschlechter und S 1 S^{1} -äquivariante Kobordismustheorie
G. Höhn, · 1991
Earlier work this paper cites.
Monstrous moonshine and monstrous Lie superalgebras
R. E. Borcherds, · 1992
Earlier work this paper cites.
Vertex operator algebras and conformal field theory
Y.-Z. Huang, · 1992
Earlier work this paper cites.
Ramond sector characters and N = 2 N=2 Landau-Ginzburg models
P. Di Francesco and S. Yankielowicz, · 1993
Earlier work this paper cites.
Nonabelian orbifolds and the boson-fermion correspondence
C. Dong and G. Mason · 1994
Earlier work this paper cites.
On the Landau-Ginzburg description of N = 2 N=2 minimal models
E. Witten, · 1994
Earlier work this paper cites.
Modular invariance of characters of vertex operator algebras
Y. Zhu, · 1996
Earlier work this paper cites.
Twisted representations of vertex operator algebras
C. Dong, H. Li and G. Mason, · 1998
Earlier work this paper cites.
The radical of a vertex operator algebra
C. Dong, H. Li, G. Mason, and P. S. Montague, · 1998
Cited alongside, same era.
Vertex algebras for beginners
V. Kac · 1998
Cited alongside, same era.
Sphere packings, lattices and groups
J. H. Conway and N. J. A. Sloane, · 1999
Cited alongside, same era.
M theory, topological strings and spinning black holes
S. H. Katz, A. Klemm and C. Vafa, · 1999
Cited alongside, same era.
Symmetric invariant pairings in vertex operator super algebras and Grammians
H. Tamanoi, · 1999
Cited alongside, same era.
Elliptic genera and vertex operator super-algebras
H. Tamanoi, · 1999
Cited alongside, same era.
Elliptic genera of toric varieties and applications to mirror symmetry
Note on Twisted Elliptic Genus of K3 Surface ,
T. Eguchi and K. Hikami, · 2011
Later among the works it cites.
Notes on the K3 Surface and the Mathieu group M 24 M_{24}
T. Eguchi, H. Ooguri and Y. Tachikawa · 2011
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Symmetries of K3 sigma models
M. R. Gaberdiel, S. Hohenegger, and R. Volpato, · 2012
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Modular Data and Verlinde Formulae for Fractional Level WZW Models II
T. Creutzig and D. Ridout, · 2013
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The overarching finite symmetry group of Kummer surfaces in the Mathieu group M 24 M_{24}
A. Taormina and K. Wendland, · 2013
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Modular invariance for twisted modules over a vertex operator superalgebra
J. Van Ekeren, · 2013
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L A. Borisov and A. Libgober, · 2000
Cited alongside, same era.
Modular invariance of trace functions in orbifold theory and generalized Moonshine
C. Dong, H. Li and G. Mason, · 2000
Cited alongside, same era.
An Introduction to Conformal Field Theory
M. R. Gaberdiel, · 2000
Cited alongside, same era.
Vertex algebras and mirror symmetry
L A. Borisov, · 2001
Cited alongside, same era.
A Hiker’s Guide to K 3 K3 - Aspects of N = ( 4 , 4 ) N=(4,4) Superconformal Field Theory with central charge c = 6 c=6
W. Nahm and K. Wendland, · 2001
Cited alongside, same era.
TFT construction of RCFT correlators I: Partition functions
J. Fuchs, I. Runkel and C. Schweigert, · 2002
Cited alongside, same era.
Umbral Moonshine,
M. C. N. Cheng, J. F. R. Duncan, and J. A. Harvey · 2014
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Umbral Moonshine and the Niemeier Lattices,
M. C. N. Cheng, J. F. R. Duncan, and J. A. Harvey · 2014
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Mathieu Moonshine and the Geometry of K3 Surfaces
T. Creutzig and G. Höhn, · 2014
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A K3 sigma model with ℤ 2 8 \mathbb{Z}^{8}_{2} : 𝕄 20 \mathbb{M}_{20} symmetry,
M. R. Gaberdiel, A. Taormina, R. Volpato and K. Wendland, · 2014
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On symmetries of 𝒩 = ( 4 , 4 ) \mathcal{N}=(4,4) sigma models on T 4 T^{4}
R. Volpato, · 2014
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Mock Modular Mathieu Moonshine Modules ,
M. Cheng, X. Dong, J. Duncan, S. Harrison, S. Kachru, and T. Wrase, · 2015
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Moonshine
J. F. R. Duncan, M. J. Griffin, and K. Ono, · 2015
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Proof of the Umbral Moonshine Conjecture
J. F. R. Duncan, M. J. Griffin, and K. Ono, · 2015
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The Moonshine Module for Conway’s Group
J. Duncan and S. Mack-Crane · 2015
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Three equivalent rationalities of vertex operator superalgebras
J. Han and C. Ai, · 2015
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Symmetry-surfing the moduli space of Kummer K3s
A. Taormina and K. Wendland, · 2015
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A twist in the M 24 M_{24} Moonshine story
A. Taormina and K. Wendland, · 2015
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Snapshots of conformal field theory
K. Wendland, · 2015
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Derived Equivalences of K3 Surfaces and Twined Elliptic Genera
J. Duncan and S. Mack-Crane · 2016
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T. Gannon, · 2016
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A proof of the Thompson Moonshine Conjecture ,
M. J. Griffin and M. H. Mertens, · 2016
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Traces of Singular Moduli and Moonshine for the Thompson Group ,
J. A. Harvey and B. C. Rayhaun, · 2016
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On the motivic stable pairs invariants of K 3 K3 surfaces
S. H. Katz, A. Klemm and R. Pandharipande, · 2016
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The Katz-Klemm-Vafa conjecture for K 3 K3 surfaces
R. Pandharipande and R. P. Thomas, · 2016
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The global sections of the chiral de Rham complex on a Kummer surface
B. Song, · 2016
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