Fetching the paper…
Reading the bibliography…
Recently, 23 cases of umbral moonshine, relating mock modular forms and finite groups, have been discovered in the context of the 23 even unimodular Niemeier lattices.
Princeton University Press, Princeton, N. J., 1957
H. Cartan, “Quotient d’un espace analytique par un groupe d’automorphismes,” in Algebraic geometry and topology, pp. 90–102 · 1957
Earlier work this paper cites.
J. Leech, “Some sphere packings in higher space,” Canad. J. Math
1964
Earlier work this paper cites.
J. Leech, “Notes on sphere packings,” Canad. J. Math
1967
Earlier work this paper cites.
J. H. Conway, “A characterisation of Leech’s lattice,” Invent. Math
1969
Earlier work this paper cites.
H.-V. Niemeier, “Definite quadratische Formen der Dimension
1973
Earlier work this paper cites.
V. V. Nikulin, “Finite groups of automorphisms of Kählerian surfaces of type
1976
Earlier work this paper cites.
J. H. Conway and S. P. Norton, “Monstrous Moonshine,” Bull. London Math. Soc
1979
Earlier work this paper cites.
A. H. Durfee, “Fifteen characterizations of rational double points and simple critical points,” Enseign. Math. (2)
1979
Earlier work this paper cites.
V. V. Nikulin, “Finite groups of automorphisms of Kählerian
1979
Earlier work this paper cites.
V. V. Nikulin, “Integral symmetric bilinear forms and some of their applications,” Mathematics of the USSR-Izvestiya
1980
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
1984
Earlier work this paper cites.
Bonner Mathematische Schriften [Bonn Mathematical Publications], 159. Universität Bonn Mathematisches Institut, Bonn, 1985
N.-P. Skoruppa, Über den Zusammenhang zwischen Jacobiformen und Modulformen halbganzen Gewichts · 1984
Earlier work this paper cites.
Springer, New York, 1985
I. B. Frenkel, J. Lepowsky, and A. Meurman, “A moonshine module for the Monster,” in Vertex operators in mathematics and physics (Berkeley, Calif., 1983), vol. 3 of Math. Sci. Res. Inst. Publ., pp. 231–273 · 1985
Earlier work this paper cites.
Birkhäuser, 1985
M. Eichler and D. Zagier, The theory of Jacobi forms · 1985
Earlier work this paper cites.
T. Eguchi and A. Taormina, “Unitary representations of the
1987
Earlier work this paper cites.
A. Cappelli, C. Itzykson, and J. Zuber, “The ADE Classification of Minimal and A1(1) Conformal Invariant Theories,”
1987
Earlier work this paper cites.
A. Cappelli, C. Itzykson, and J. Zuber, “Modular Invariant Partition Functions in Two-Dimensions,”
1987
Earlier work this paper cites.
Z.-a. Qiu, “Modular Invariant Partition Functions for
1987
Earlier work this paper cites.
S. Ochanine Topology. An International Journal of Mathematics
1987
Earlier work this paper cites.
E. Witten, “ELLIPTIC GENERA AND QUANTUM FIELD THEORY,”
1987
Earlier work this paper cites.
T. Eguchi and A. Taormina, “Character formulas for the
1988
Earlier work this paper cites.
D. Gepner, “Space-Time Supersymmetry in Compactified String Theory and Superconformal Models,”
1988
Earlier work this paper cites.
Springer-Verlag, Berlin, 1988
P. S. Landweber, ed., Elliptic curves and modular forms in algebraic topology · 1988
Earlier work this paper cites.
T. Eguchi and A. Taormina, “On the unitary representations of
1988
Earlier work this paper cites.
S. Mukai, “Finite groups of automorphisms of
1988
Earlier work this paper cites.
A. Fujiki, “Finite automorphism groups of complex tori of dimension 2,” Publ. RIMS. Kyoto Univ
1988
Earlier work this paper cites.
T. Eguchi, H. Ooguri, A. Taormina, and S.-K. Yang, “Superconformal Algebras and String Compactification on Manifolds with SU(N) Holonomy,”
1989
Cited alongside, same era.
C. Vafa and N. P. Warner, “Catastrophes and the Classification of Conformal Theories,”
1989
Cited alongside, same era.
E. J. Martinec, “Algebraic Geometry and Effective Lagrangians,”
1989
Cited alongside, same era.
Y. Kazama and H. Suzuki, “New N=2 Superconformal Field Theories and Superstring Compactification,”
1989
Cited alongside, same era.
L. J. Dixon, M. E. Peskin, and J. D. Lykken, “N=2 Superconformal Symmetry and SO(2,1) Current Algebra,”
1989
Cited alongside, same era.
E. Witten, “On string theory and black holes,”
1991
T. Eguchi and Y. Sugawara, “SL(2,R)/U(1) supercoset and elliptic genera of noncompact Calabi-Yau manifolds,”
2004
Later among the works it cites.
Cambridge University Press, 2006
T. Gannon, Moonshine beyond the monster. The bridge connecting algebra, modular forms and physics · 2006
Later among the works it cites.
D. Zagier, “Ramanujan’s mock theta functions and their applications (after Zwegers and Ono-Bringmann),” Astérisque (2009) no. 326, Exp. No. 986, vii–viii, 143–164 (2010). Séminaire Bourbaki. Vol. 2007/2008
2008
Later among the works it cites.
A. Folsom, “What is
2010
Later among the works it cites.
J. Troost, “The non-compact elliptic genus: mock or modular,”
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.
R. E. Borcherds, “Monstrous moonshine and monstrous Lie superalgebras,” Invent. Math
1992
Cited alongside, same era.
R. Dijkgraaf, H. L. Verlinde, and E. P. Verlinde, “String propagation in a black hole geometry,”
1992
Cited alongside, same era.
E. Witten, “Phases of N=2 theories in two-dimensions,”
1993
Cited alongside, same era.
P. Di Francesco and S. Yankielowicz, “Ramond sector characters and N=2 Landau-Ginzburg models,”
1993
Cited alongside, same era.
C. Vafa and E. Witten, “A strong coupling test of
1994
Cited alongside, same era.
E. Witten, “On the Landau-Ginzburg Description of
1994
Cited alongside, same era.
2010
Later among the works it cites.
M. R. Gaberdiel, S. Hohenegger, and R. Volpato, “Mathieu twining characters for K3,”
2010
Later among the works it cites.
M. R. Gaberdiel, S. Hohenegger, and R. Volpato, “Mathieu Moonshine in the elliptic genus of K3,”
2010
Later among the works it cites.
T. Eguchi, H. Ooguri, and Y. Tachikawa, “Notes on the K3 Surface and the Mathieu group
2011
Later among the works it cites.
T. Eguchi and K. Hikami, “Note on Twisted Elliptic Genus of K3 Surface,”
2011
Later among the works it cites.
2011
Later among the works it cites.
S. K. Ashok and J. Troost, “A Twisted Non-compact Elliptic Genus,”
2011
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
M. R. Gaberdiel, S. Hohenegger, and R. Volpato, “Symmetries of K3 sigma models,”
2012
Later among the works it cites.
S. Govindarajan, “Unravelling Mathieu Moonshine,”
2012
Later among the works it cites.
O. Gray, “On the complete classification of unitary
2012
Later among the works it cites.
K. Hashimoto, “Finite symplectic actions on the
2012
Later among the works it cites.
S. Alexandrov, J. Manschot, and B. Pioline, “D3-instantons, Mock Theta Series and Twistors,”
2013
Later among the works it cites.
M. R. Gaberdiel, D. Persson, H. Ronellenfitsch, and R. Volpato, “Generalised Mathieu Moonshine,”
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Closest in time.
J. A. Harvey and S. Murthy, “Moonshine in Fivebrane Spacetimes,”
2014
Closest in time.
T. Wrase, “Mathieu moonshine in four dimensional
2014
Closest in time.