Universal Character and Large N Factorization in Topological Gauge/String Theory
نویسنده
چکیده
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.
منابع مشابه
DEVELOPMENT IN STRING THEORY
The string theory is a fast moving subject, both physics wise and in the respect of mathematics. In order to keep up with the discipline it is important to move with new ideas which are being stressed. Here I wish to give extracts from new papers of ideas which I have recently found interesting. There are six papers which are involved: I ."Strings formulated directly in 4 dimensions " A. N...
متن کاملTopological Rigid String Theory and Two Dimensional QCD
We present a string theory that reproduces the large-N expansion of two dimensional YangMills gauge theory on arbitrary surfaces. First, a new class of topological sigma models is introduced, with path integrals localized to the moduli space of harmonic maps. The Lagrangian of these harmonic topological sigma models is of fourth order in worldsheet derivatives. Then we gauge worldsheet diffeomo...
متن کاملGlueballs, strings and topology in SU(N) gauge theory
I show how one can use lattice methods to calculate various continuum properties of SU(N) gauge theories; in part to explore old ideas that N = 3 might be close to N = ∞. I describe calculations of the low-lying ‘glueball’ mass spectrum, of the string tensions of k-strings and of topological fluctuations for 2 ≤ N ≤ 5. We find that mass ratios appear to show a rapid approach to the large–N limi...
متن کاملOn Field/String Theory Approach to Theta Dependence in Large N Yang-Mills Theory
The theta dependence of the vacuum energy in large N Yang-Mills theory has been studied some time ago by Witten using a duality of large N gauge theories with string theory compactified on a certain space-time. We show that within the field theory context vacuum fluctuations of the topological charge give rise the vacuum energy consistent with the string theory computation. Furthermore, we calc...
متن کاملTopological Centers and Factorization of Certain Module Actions
Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule with the left and right module actions $pi_ell: Atimes Xrightarrow X$ and $pi_r: Xtimes Arightarrow X$, respectively. In this paper, we study the topological centers of the left module action $pi_{ell_n}: Atimes X^{(n)}rightarrow X^{(n)}$ and the right module action $pi_{r_n}:X^{(n)}times Arightarrow X^{(n)}$, which inherit from th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008