Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-18
Nucl.Phys.B745:165-175,2006
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 2 figures, (v2) typos corrected
Scientific paper
10.1016/j.nuclphysb.2006.03.014
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.
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