Elliptic genera of symmetric products and second quantized strings

Communications in Mathematical Physics

Volumn 185, Issue 1, 1997, Pages 197-209

  Dijkgraaf, Robbert ^a   Moore, Gregory ^b   Verlinde, Erik ^c,e   Verlinde, Herman ^d  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b Yale University   (United States)

^c CERN   (Switzerland)

^d UNIVERSITY OF AMSTERDAM   (Netherlands)

^e UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001399319     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050087     Document Type: Article

References (33)

1. Landweber, P.S. (ed.): Elliptic Curves and Modular Forms in Algebraic Topology. Berlin-Heidelberg-New York: Springer-Verlag, 1988; Witten, E.: Commun. Math. Phys. 109, 525 (1987); Schellekens, A. and Warner, N.: Phys. Lett. B177, 317 (1986); Nucl. Phys. B287, 317 (1987)
2. Landweber, P.S. (ed.): Elliptic Curves and Modular Forms in Algebraic Topology. Berlin-Heidelberg-New York: Springer-Verlag, 1988; Witten, E.: Commun. Math. Phys. 109, 525 (1987); Schellekens, A. and Warner, N.: Phys. Lett. B177, 317 (1986); Nucl. Phys. B287, 317 (1987)
3. Landweber, P.S. (ed.): Elliptic Curves and Modular Forms in Algebraic Topology. Berlin-Heidelberg-New York: Springer-Verlag, 1988; Witten, E.: Commun. Math. Phys. 109, 525 (1987); Schellekens, A. and Warner, N.: Phys. Lett. B177, 317 (1986); Nucl. Phys. B287, 317 (1987)
4. Landweber, P.S. (ed.): Elliptic Curves and Modular Forms in Algebraic Topology. Berlin-Heidelberg-New York: Springer-Verlag, 1988; Witten, E.: Commun. Math. Phys. 109, 525 (1987); Schellekens, A. and Warner, N.: Phys. Lett. B177, 317 (1986); Nucl. Phys. B287, 317 (1987)
5. Kawai, T., Yamada, Y. and Yang, S.-K.: Elliptic Genera and N=2 Superconformal Field Theory. Nucl. Phys. B414, 191-212 (1994); Eguchi, T., Ooguri, H., Taormina, A., Yang, S.-K.: Superconformal Algebras and String Compactification on Manifolds with SU(N) Holonomy. Nucl.Phys. B315, 193 (1989)
6. Kawai, T., Yamada, Y. and Yang, S.-K.: Elliptic Genera and N=2 Superconformal Field Theory. Nucl. Phys. B414, 191-212 (1994); Eguchi, T., Ooguri, H., Taormina, A., Yang, S.-K.: Superconformal Algebras and String Compactification on Manifolds with SU(N) Holonomy. Nucl.Phys. B315, 193 (1989)
7. Dijkgraaf, R., Verlinde, E. and Verlinde, H.: Counting Dyons in N=4 String Theory. hep-th/9607026; BPS Spectrum of the Five-Brane and Black Hole Entropy. hep-th/9603126
8. Dijkgraaf, R., Verlinde, E. and Verlinde, H.: Counting Dyons in N=4 String Theory. hep-th/9607026; BPS Spectrum of the Five-Brane and Black Hole Entropy. hep-th/9603126
9. s+2,2(R) and Infinite Products. Invent. Math. 120, 161 (1995)
10. Harvey, J. and Moore, G.: Algebras, BPS States, and Strings. Nucl. Phys. B463, 315-368, (1996), hep-th/9510182
11. Dixon, L., Harvey, J., Vafa, C. and Witten, E. : Nucl. Phys. B261, 620 (1985); Nucl. Phys. B274, 285 (1986)
12. Dixon, L., Harvey, J., Vafa, C. and Witten, E. : Nucl. Phys. B261, 620 (1985); Nucl. Phys. B274, 285 (1986)
13. Hirzebruch, F. and Höfer, T.: On the Euler Number of an Orbifold. Math. Ann. 286, 255 (1990)
14. Vafa, C. and Witten, E.; A Strong Coupling Test of S-Duality. Nucl. Phys. B431, 3-77 (1994), hep-th/9408074
15. Lang, S.: Introduction to Modular Forms. Berlin-Heidelberg-New York: Springer-Verlag, 1976
16. Gritsenko, V.A. and Nikulin, V.V.: Siegel Automorphic Form Corrections of Some Lorentzian Kac-Moody Algebras. alg-geom/9504006
17. Bershadsky, M., Cecotti, S., Ooguri, H. and Vafa, C.: Holomorphic Anomalies in Topological Field Theories. Nucl. Phys. B405, 279-304 (1993), hep-th/9302103
18. Neumann, C.D.D.: The Elliptic Genus of Calabi-Yau 3- and 4-Folds, Product Formulae and Generalized Kac-Moody Algebras. hep-th/9607029
19. Kawai, T.: N = 2 Heterotic String Threshold Correction, K3 Surface and Generalized Kac-Moody Superalgebra. hep-th/9512046
20. Dixon, L., Kaplunovsky, V. and Louis, J.: Moduli-dependence of string loop corrections to gauge coupling constants. Nucl. Phys. B307, 145 (1988)
21. Göttsche, L.: The Betti numbers of the Hilbert Scheme of Points on a Smooth Projective Surface. Math. Ann. 286, 193-297 (1990)
22. Nakajima, H.: Heisenberg Algebra and Hilbert Schemes of Points on Projective Surfaces. alg-geom/9507012
23. Grojnowski, I.: Instantons and Affine Algebras I: The Hilbert Scheme and Vertex Operators. alg-geom/9506020
24. Nekrasov, N.: Princeton PhD-thesis, May 1996, unpublished
25. Polchinski, J.: Dirichlet-Branes and Ramond-Ramond Charges. hep-th/9510017; Polchinski, J., Chaudhuri, S. and Johnson, C.: Notes on D-Branes. hep-th/9602052
26. Polchinski, J.: Dirichlet-Branes and Ramond-Ramond Charges. hep-th/9510017; Polchinski, J., Chaudhuri, S. and Johnson, C.: Notes on D-Branes. hep-th/9602052
27. Witten, E.: Bound States Of Strings And p-Branes. hep-th/9510135
28. Strominger, A., Vafa, C.: Microscopic Origin of the Bekenstein-Hawking Entropy. hep-th/9601029
29. Vafa, C.: Gas of D-Branes and Hagedorn Density of BPS States. hep-th/9511026, Instantons on D-branes. hep-th/9512078; Bershadsky, M., Sadov, V. and Vafa, C.: D-Branes and Topological Field Theories. hep-th/9511222
30. Vafa, C.: Gas of D-Branes and Hagedorn Density of BPS States. hep-th/9511026, Instantons on D-branes. hep-th/9512078; Bershadsky, M., Sadov, V. and Vafa, C.: D-Branes and Topological Field Theories. hep-th/9511222
31. Vafa, C.: Gas of D-Branes and Hagedorn Density of BPS States. hep-th/9511026, Instantons on D-branes. hep-th/9512078; Bershadsky, M., Sadov, V. and Vafa, C.: D-Branes and Topological Field Theories. hep-th/9511222
32. Maldacena, J. and Susskind, L. : D-branes and Fat Black Holes. hep-th/9604042
33. Eichler, M. and Zagier, D.: The Theory of Jacobi Forms. Basel-Boston: Birkhäuser, 1985