Fetching the paper…
Reading the bibliography…
We use the representation theory of N=2 superconformal algebra to study the elliptic genera of Calabi-Yau (CY) D-folds.
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis , Cambridge Univ. Press, Cambridge, 1927, 4th ed
1927
Earlier work this paper cites.
G. N. Watson, The final problem: an account of the mock theta functions , J. London Math. Soc. 11
1936
Earlier work this paper cites.
H. Rademacher, Topics in Analytic Number Theory , vol. 169 of Grund. Math. Wiss. , Springer, New York, 1973
1973
Earlier work this paper cites.
J.-P. Serre and H. M. Stark, Modular forms of weight 1 / 2 1/2 , in J.-P. Serre and D. Zagier, eds., Modular Functions of One Variable VI , vol. 627 of Lecture Notes in Mathematics , pp. 27–67, Springer, Berlin, 1977
1977
Earlier work this paper cites.
M. Eichler and D. Zagier, The Theory of Jacobi Forms , vol. 55 of Progress in Mathematics , Birkhäuser, Boston, 1985
1985
Earlier work this paper cites.
T. Eguchi and A. Taormina, Unitary representations of the N = 4 N=4 superconformal algebra , Phys. Lett. B 196
1986
Earlier work this paper cites.
V. K. Dobrev, Characters of the unitarizable highest weight modules over the N = 2 N=2 superconformal algebras , Phys. Lett. B 186
1987
Earlier work this paper cites.
A. Schwimmer and N. Seiberg, Comment on the N = 2 , 3 , 4 N=2,3,4 superconformal algebras in two dimensions , Phys. Lett. B 184
1987
Earlier work this paper cites.
E. Witten, Elliptic genera and quantum field theory , Commun. Math. Phys. 109
1987
Earlier work this paper cites.
F. J. Dyson, A walk through Ramanujan’s garden , in Ramanujan Revisited , pp. 7–28, Academic Press, Boston, 1988
1988
Earlier work this paper cites.
———, Character formulas for the N = 4 N=4 superconformal algebra , Phys. Lett. B 200
1988
Earlier work this paper cites.
———, On the unitary representations of N = 2 N=2 and N = 4 N=4 superconformal algebras , Phys. Lett. B 210
1988
Earlier work this paper cites.
E. B. Kiritsis, Character formulae and the structure of the representations of the N = 1 N=1 , N = 2 N=2 superconformal algebras , Int. J. Mod. Phys. A 3
1988
Earlier work this paper cites.
G. E. Andrews, Mock theta functions , in L. Ehrenpreis and R. C. Gunning, eds., Theta Functions — Bowdoin 1987 , vol. 49 (part 2) of Proc. Symp. Pure Math. , pp. 283–298, Amer. Math. Soc., Providence, 1989
1989
Cited alongside, same era.
T. Eguchi, H. Ooguri, A. Taormina, and S.-K. Yang, Superconformal algebras and string compactification on manifolds with SU( n n ) holonomy , Nucl. Phys. B 315
1989
Cited alongside, same era.
S. Odake, Extension of N = 2 N=2 superconformal algebra and Calabi–Yau compactification , Mod. Phys. Lett. A 4
1989
Cited alongside, same era.
———, c = 3 d c=3d conformal algebra with extended supersymmetry , Mod. Phys. Lett. A 5
1990
Cited alongside, same era.
———, Character formulas of an extended superconformal algebra relevant to string compactification , Int. J. Mod. Phys. A 5
1990
Cited alongside, same era.
N. Yokoi and T. Nakatsu, Three-dimensional extremal black holes and the Maldacena duality , Prog. Theor. Phys. 104
2000
Later among the works it cites.
J. H. Bruinier, Borcherds Products on O ( 2 , ℓ ) O(2,\ell) and Chern Classes of Heegner Divisors , vol. 1780 of Lecture Notes in Mathematics , Springer, Berlin, 2002
2002
Later among the works it cites.
2002
Later among the works it cites.
K. Ono, The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q q -series , no. 102 in CBMS Regional Conference Series in Math., Amer. Math. Soc., Providence, 2004
2004
Later among the works it cites.
A. M. Semikhatov, I. Y. Tipunin, and A. Taormina, Higher-level Appell functions, modular transformations, and characters , Commun. Math. Phys. 255
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
T. Kawai, Y. Yamada, and S.-K. Yang, Elliptic genera and N = 2 N=2 superconformal field theory , Nucl. Phys. B 414
1994
Cited alongside, same era.
L. Rozansky, Witten’s invariants of rational homology spheres at prime values of K and trivial connection contribution , Commun. Math. Phys. 180
1996
Cited alongside, same era.
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein–Hawking entropy , Phys. Lett. B 379
1996
Cited alongside, same era.
M. Cvetič and F. Larsen, Near horizon geometry of rotating black holes in five dimensions , Nucl. Phys. B 531
1998
Cited alongside, same era.
V. Gritsenko, Elliptic genus of Calabi–Yau manifolds and Jacobi and Siegel modular forms , Algebra i Analiz 11
1999
Cited alongside, same era.
C. D. D. Neumann, The elliptic genus of Calabi–Yau 3 3 - and 4 4 -folds, product formulae and generalized Kac–Moody algebras , J. Geom. Phys. 29
1999
Cited alongside, same era.
L. A. Borisov and A. Libgober, Elliptic genera of toric varieties and applications to mirror symmetry , Invent. math. 140
2000
Cited alongside, same era.
2005
Later among the works it cites.
K. Bringmann and K. Ono, The f ( q ) f(q) mock theta function conjecture and partition ranks , Invent. math. 165
2006
Later among the works it cites.
D. Zagier, Ramanujan’s mock theta functions and their applications [d’après Zwegers and Bringmann–Ono] , Séminaire Bourbaki 986
2007
Later among the works it cites.
———, Coefficients of harmonic Maass forms , preprint (2008)
2008
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
B. Gordon and R. J. McIntosh, A survey of classical mock theta functions , preprint (2009)
2009
Later among the works it cites.
———, Unearthing the visions of a master: harmonic Maass forms and number theory , in D. Jerison, B. Mazur, T. Mrowka, W. Schmid, R. P. Stanley, and S.-T. Yau, eds., Current Developments in Mathematics 2008 , pp. 347–454, Intl. Press, Boston, 2009
2009
Later among the works it cites.