English

Universal Character and Large N Factorization in Topological Gauge/String Theory

High Energy Physics - Theory 2008-11-26 v2

Abstract

We establish a formula of the large N factorization of the modular S-matrix for the coupled representations in U(N) Chern-Simons theory. The formula was proposed by Aganagic, Neitzke and Vafa, based on computations involving the conifold transition. We present a more rigorous proof that relies on the universal character for rational representations and an expression of the modular S-matrix in terms of the specialization of characters.

Cite

@article{arxiv.hep-th/0602179,
  title  = {Universal Character and Large N Factorization in Topological Gauge/String Theory},
  author = {Hiroaki Kanno},
  journal= {arXiv preprint arXiv:hep-th/0602179},
  year   = {2008}
}

Comments

16 pages, 2 figures, (v2) typos corrected

R2 v1 2026-07-22T15:34:52.728Z