Liouville Field, Modular Forms and Elliptic Genera

Details Liouville Field, Modular Forms and Elliptic Genera Liouville Field, Modular Forms and Elliptic Genera

2006-11-30

arxiv.org/abs/hep-th/0611338v3

JHEP 0703:119,2007

Physics

High Energy Physics

High Energy Physics - Theory

1+19 pages, no figure; v2 A proof of identity (2.40) due to D.Zagier is included in Appendix C, minor changes, references adde

Scientific paper

10.1088/1126-6708/2007/03/119

When we describe non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the modular transformations. In this article, we propose a method of combining discrete and continuous representations so that the resulting combinations have a simpler modular behavior and can be used as conformal blocks of the theory. We compute elliptic genera of ALE spaces and obtain results which agree with those suggested from the decompactification of K3 surface. Consistency of our approach is assured by some remarkable identity of theta functions whose proof, by D. Zagier, is included in an appendix.

Affiliated with

Also associated with

No associations

Rating

Liouville Field, Modular Forms and Elliptic Genera does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Liouville Field, Modular Forms and Elliptic Genera, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Liouville Field, Modular Forms and Elliptic Genera will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422898