Nahm's conjecture and coset models

Details Nahm's conjecture and coset models Nahm's conjecture and coset models

2011-03-25

arxiv.org/abs/1103.4986v2

Physics

Mathematical Physics

Scientific paper

When is a $q$-series modular? This is an interesting open question in mathematics that has deep connections to conformal field theory. In this paper we define a particular $r$-fold $q$-hypergeometric series $f_{A,B,C}$, with data given by a matrix $A$, a vector $B$, and a scalar $C$, all rational, and ask when $f_{A,B,C}$ is modular. In the past much work has been done to predict which values of $A$ give rise to modular $f_{A,B,C}$, however there is no straightforward method for calculating corresponding values of $B$. We approach this problem from the point of view of conformal field theory, by considering $(2n+3,2)$--minimal models, and coset models of the form $\hat{su}(2)_k /\hat{u}(1)$. By calculating the characters of these models and comparing them to the functions $f_{A,B,C}$, we succeed in computing appropriate $B$-values in many cases.

Affiliated with

Also associated with

No associations

Rating

Nahm's conjecture and coset models 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 Nahm's conjecture and coset models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nahm's conjecture and coset models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-571058