Conformal characters and the modular representation

Journal of High Energy Physics

Volumn , Issue 2, 2006, Pages 005-

  Bantay, Peter ^a   Gannon, Terry ^b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Conformal and W Symmetry; Conformal Field Models in String Theory

Indexed keywords

EID: 33644781592     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/02/005     Document Type: Article

References (21)

1. Tom M. Apostol, Modular functions and Dirichlet series in number theory volume 41 of GTM Springer-Verlag, 1976
2. P. Bántay, The kernel of the modular representation and the galois action in RCFT 2003 Comm. Math. Phys. 233 423 [math.qa/0102149]
3. P. Bantay and T. Gannon, in preparation
4. P. Degiovanni, Z/NZ conformal field theories 1993 Comm. Math. Phys. 153 159
5. F. Diamond and J. Shurman, A first course in modular forms volume 228 of GTM Springer-Verlag, 2005
6. W. Eholzer and N.-P. Skoruppa, Conformal characters and theta series 1995 Lett. Math. Phys. 35 197 [hep-th/9410077]
7. I. Frenkel, J. Lepowsky, and A. Meurman, Vertex operator algebras and the monster (Academic Press), 1988
8. The GAP Group, GAP - Groups, algorithms, and programming, Version 4.4.5 2005, http://www.gap-system.org
9. G.M. Greuel, G. Pfister, and H. Schönemann, Singular 3.0. A computer algebra system for polynomial computations Centre for Computer Algebra, University of Kaiserslautern, 2005, http://www.singular.uni-kl.de
10. R.C. Gunning, Riemann surfaces and generalized theta functions Springer-Verlag, 1976
11. M. Knopp and G. Mason, Generalized modular forms 2003 J. Number Theory 99 1
12. M. Knopp and G. Mason, Vector-valued modular forms and Poincare series 2004 Illinois J. Math. 48 1
13. N. Koblitz, Introduction to Elliptic Curves and Modular Forms volume 97 of GTM Springer-Verlag, 1993
14. S. Lang, Elliptic Functions 2nd edition, Springer-Verlag, 1997
15. S.D. Mathur, S. Mukhi and A. Sen, On the classification of rational conformal field theories 1988 Phys. Lett. B 213 303
16. S. Mukai, An Introduction to Invariants and Moduli volume 81 of Cambridge studies in advanced mathematics (Cambridge University Press), 2003
17. 2) II 1976 Comment. Math. Helvetici 51 491
18. The PARI Group, PARI/GP, Version 2.2.10 2004. http://pari.math.u-bordeaux.fr/
19. A. Rocha-Caridi, Vacuum vector reprsentations of the Virasoro algebra in: Vertex operators in mathematics and physics 451, Springer-Verlag, 1985
20. A.N. Schellekens, Meromorphic c ≤ 24 conformal field theories 1993 Comm. Math. Phys. 153 159 [hep-th/9205072]
21. Y. Zhu, Modular invariance of characters of vertex operator algebras 1996 J. Amer. Math. Soc. 9 237