Fetching the paper…
Reading the bibliography…
The monster sporadic group is the automorphism group of a central charge $c=24$ vertex operator algebra (VOA) or meromorphic conformal field theory (CFT).
C. Dong, X. Jiao and N. Yu, “6 A A -Algebra and its representations,” J. Algebra 533
1902
Earlier work this paper cites.
R. Griess Jr., “Research topics in finite groups and vertex algebras,” [ arXiv:1903.08805 ]
1903
Earlier work this paper cites.
“Glueing vertex algebras,” [ arXiv:1906.00119 ]
T. Creutzig, S. Kanade, and R. McRae, · 1906
Earlier work this paper cites.
T. Johnson-Freyd, “Supersymmetry and the Suzuki chain,” [ arXiv:1908.11012 ]
1908
Earlier work this paper cites.
1910
Earlier work this paper cites.
“Fonctions modulaires et fonctions fuchsiennes,”
H. Poincaré, · 1911
Earlier work this paper cites.
Y. H. Lin and S. H. Shao, “Duality Defect of the Monster CFT,” [ arXiv:1911.00042 ]
1911
Earlier work this paper cites.
“Die 5-fach transitiven gruppen von mathieu,”
E. Witt, · 1937
Earlier work this paper cites.
“The Fourier coefficients of the modular invariant J ( τ ) J(\tau) ,”
H. Rademacher, · 1938
Earlier work this paper cites.
“On the partition function p ( n ) p(n) ,”
H. Rademacher, · 1938
Earlier work this paper cites.
“Construction of automorphic forms and integrals,”
D. Niebur, · 1974
Earlier work this paper cites.
“A conjugacy theorem for E 8 ,”
J. G. Thompson, · 1976
Earlier work this paper cites.
“A simple subgroup of M? and E 8 (3),”
P. E. Smith, · 1976
Earlier work this paper cites.
“ θ \theta -series and invariant theory,”
R. Howe, · 1979
Earlier work this paper cites.
J. H. Conway and S. P. Norton, “Monstrous Moonshine,” Bull. London Math. Soc
1979
Earlier work this paper cites.
J. McKay, “Graphs, singularities and finite groups,” The Santa Cruz Conference on Finite Groups (Santa Cruz, 1979), Proc. Symp. Pure Math. vol. 37, Amer. Math. Soc., Providence RI, 1980, pp 183-186
1980
Earlier work this paper cites.
“The friendly giant,”
R. L. Griess Jr., · 1982
Earlier work this paper cites.
I. B. Frenkel, J. Lepowsky and A. Meurman, “A natural representation of the Fischer-Griess Monster with the modular function J J as character,” Proc. Nat. Acad. Sci. U.S.A
1984
Earlier work this paper cites.
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, “The ATLAS of Finite Groups,” Oxford University Press
1985
Earlier work this paper cites.
I. B. Frenkel, J. Lepowsky and A. Meurman, “A moonshine module for the Monster,” in Vertex Operators in Mathematics and Physics
1985
Earlier work this paper cites.
P. Goddard, A. Kent and D. I. Olive, “Virasoro Algebras and Coset Space Models,” Phys. Lett
1985
Earlier work this paper cites.
Inventiones mathematicae
J. H. Conway. “A simple construction for the Fischer-Griess monster group,” · 1985
Earlier work this paper cites.
A. B. Zamolodchikov, “Infinite additional symmetries in two-dimensional conformal quantum field theory,” Teoreticheskaya i Matematicheskaya Fizika
1985
Earlier work this paper cites.
P. Goddard, A. Kent and D. I. Olive, “Unitary Representations of the Virasoro and Supervirasoro Algebras,” Commun. Math. Phys
1986
Earlier work this paper cites.
J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys. B 270
1986
Earlier work this paper cites.
V. A. Fateev and A. B. Zamolodchikov, “Conformal quantum field theory models in two dimensions having ℤ 3 \mathbb{Z}_{3} symmetry,” Nucl. Phys. B
1987
Earlier work this paper cites.
D. Gepner, “Exactly Solvable String Compactifications on Manifolds of SU(N) Holonomy,” Phys. Lett. B
1987
Earlier work this paper cites.
V. A. Fateev and S. L. Lukyanov, “The Models of Two-Dimensional Conformal Quantum Field Theory with ℤ n \mathbb{Z}_{n} Symmetry,” Int. J. Mod. Phys. A
1988
Earlier work this paper cites.
Nucl. Phys. B
E. Verlinde, “Fusion rules and modular transformations in 2d conformal field theory,” · 1988
Earlier work this paper cites.
L. J. Dixon, P. H. Ginsparg and J. A. Harvey, “Beauty and the Beast: Superconformal Symmetry in a Monster Module,” Commun. Math. Phys
1988
Earlier work this paper cites.
S. Mathur, and S. Mukhi, and A. Sen, “On the Classification of Rational Conformal Field Theories,” Phys. Lett. B
1988
Earlier work this paper cites.
P. H. Ginsparg, “Curiosities at c = 1 c=1 ,” Nucl. Phys. B 295
1988
Earlier work this paper cites.
“Remarks on classical invariant theory,”
R. Howe, · 1989
Earlier work this paper cites.
Communications in Mathematical Physics
G. Moore and N. Seiberg, “Classical and quantum conformal field theory,” · 1989
Earlier work this paper cites.
I. Frenkel, J. Lepowsky and A. Meurman, “Vertex Operator Algebras and the Monster,” Volume 134, Academic Press
1989
Earlier work this paper cites.
R. Dijkgraaf, C. Vafa, E. P. Verlinde and H. L. Verlinde, “The Operator Algebra of Orbifold Models,” Commun. Math. Phys
1989
Earlier work this paper cites.
Proceedings of the London Mathematical Society
S. A. Linton and R. A. Wilson. “The maximal subgroups of the Fischer groups Fi 24 {\textsl{Fi}}_{24} and Fi 24 ′ {\textsl{Fi}}^{\prime}_{24} ,” · 1991
Earlier work this paper cites.
R. Borcherds, “Monstrous moonshine and monstrous Lie superalgebras,” Invent. Math
1992
Cited alongside, same era.
Duke Mathematical Journal
I. B. Frenkel and Y. Zhu. “Vertex operator algebras associated to representations of affine and Virasoro algebras,” · 1992
Cited alongside, same era.
J. Symbolic Comput
W. Bosma, J. Cannon, and C. Playoust, “The Magma algebra system I : The user language,” · 1993
Cited alongside, same era.
J. H. Conway and N. J. A. Sloane, “Sphere Packings, Lattices and Groups,” Third edition, Springer 1993
1993
Cited alongside, same era.
W. Meyer and W. Neutsch, “Associative Subalgebras of the Griess Algebra,” Journal of Algebra
1993
Cited alongside, same era.
C. Dong, G. Mason and Y. Zhu, “Discrete Series of the Virasoro Algebra and the Moonshine Module,” Proc. of Symp
1994
Journal of Algebra
H. Pahlings. “The character table of 2 + 1 + 22 . Co 2 2_{+}^{1+22}.{\textsl{Co}}_{2} ,” · 2007
Later among the works it cites.
“Modular differential equations and null vectors,”
M. R. Gaberdiel and C. A. Keller, · 2008
Later among the works it cites.
M. C. N. Cheng, “K3 Surfaces, N=4 Dyons, and the Mathieu Group M24,” Commun. Num. Theor. Phys. 4
2010
Later among the works it cites.
2010
Later among the works it cites.
T. Eguchi and K. Hikami, “Note on twisted elliptic genus of K 3 K3 surface,” Phys. Lett. B 694
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
C. Y. Dong and G. Mason, “Nonabelian orbifolds and the boson - fermion correspondence,” Commun. Math. Phys
1994
Cited alongside, same era.
“Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond,”
R. Howe · 1995
Cited alongside, same era.
G. Höhn, “Selbstdual Vertesoperatorsuperalgebren und das Babymonster,” Ph.D. thesis, Bonn University
1995
Cited alongside, same era.
M. Miyamoto, “Griess Algebras and Conformal Vectors in Vertex Operator Algebras,” Journal of Algebra
1996
Cited alongside, same era.
Modular invariance of characters of vertex operator algebras
Y. Zhu, · 1996
Cited alongside, same era.
L. Dolan, P. Goddard and P. Montague, “Conformal field theories, representations and lattice constructions,” Commun. Math. Phys
1996
Cited alongside, same era.
2010
Later among the works it cites.
in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
G. Höhn. “The group of symmetries of the shorter moonshine module,” · 2010
Later among the works it cites.
2011
Later among the works it cites.
“ E E 8 EE_{8} -lattices and dihedral groups,”
R. L. Griess Jr., and C. H. Lam, · 2011
Later among the works it cites.
2011
Later among the works it cites.
Communications in Mathematical Physics
G. Höhn, C. H. Lam, and H. Yamauchi. “Mckay’s E6 observation on the largest Fischer group,” · 2012
Later among the works it cites.
Springer Science & Business Media
P. Francesco, P. Mathieu, and D. Sénéchal, “Conformal field theory,” · 2012
Later among the works it cites.
2012
Later among the works it cites.
International Mathematics Research Notices
G. Höhn, C. H. Lam, and H. Yamauchi. “Mckay’s E7 observation on the baby monster,” · 2012
Later among the works it cites.
M. C. N. Cheng, J. F. R. Duncan and J. A. Harvey, “Umbral Moonshine,” Commun. Num. Theor. Phys
2014
Later among the works it cites.
2014
Later among the works it cites.
“Vector-valued Rademacher sums and automorphic integrals,”
D. Whalen, · 2014
Later among the works it cites.
Rademacher sums and Rademacher series
M. C. N. Cheng and J. F. R. Duncan · 2014
Later among the works it cites.
J. F. R. Duncan and S. Mack-Crane, “The Moonshine Module for Conway’s Group,” SIGMA
2015
Later among the works it cites.
2015
Later among the works it cites.
T. Gannon, “Much ado about Mathieu,” Adv. Math
2016
Later among the works it cites.
2016
Later among the works it cites.
M. J. Griffin and M. Mertens, “A proof of the Thompson Moonshine Conjecture,” Res. Math. Sci
2016
Later among the works it cites.
C. Franc and G. Mason, “Hypergeometric series, modular linear differential equations, and vector-valued modular forms,” Ramanujan J
2016
Later among the works it cites.
H. Hampapura, and S. Mukhi,, “Two-dimensional RCFT’s without Kac-Moody symmetry,” JHEP
2016
Later among the works it cites.
G. Höhn and G. Mason, “The 290 fixed-point sublattices of the Leech lattice,” J. Algebra
2016
Later among the works it cites.
J. F. R. Duncan, M. H. Mertens and K. Ono, “Pariah moonshine,” Nature Communications
2017
Later among the works it cites.
“Mirror extensions of rational vertex operator algebras,”
X. Lin, · 2017
Later among the works it cites.
A. Maloney, H. Maxfield and G. S. Ng, “A conformal block Farey tail,” JHEP 1706
2017
Later among the works it cites.
The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.8.8; 2017 (https://www.gap-system.org)
2017
Later among the works it cites.
J. A. Harvey and Y. Wu, “Hecke Relations in Rational Conformal Field Theory,” JHEP
2018
Later among the works it cites.
“Quasi-lisse vertex algebras and modular linear differential equations,”
T. Arakawa and K. Kawasetsu, · 2018
Later among the works it cites.
“Vertex operator algebras, Higgs branches, and modular differential equations,”
C. Beem and L. Rastelli, · 2018
Later among the works it cites.
“Schur–Weyl duality for Heisenberg cosets,”
T. Creutzig, S. Kanade, A. R. Linshaw, and D. Ridout, · 2019
Later among the works it cites.
“Exact half-BPS black hole entropies in CHL models from Rademacher series,”
R. Nally, · 2019
Later among the works it cites.
J. Bae, K. Lee and S. Lee, “Monster Anatomy,” JHEP
2019
Later among the works it cites.
SageMath, the Sage Mathematics Software System (Version 8.8) , The Sage Developers, 2019, https://www.sagemath.org
2019
Later among the works it cites.