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# Conformal Field Theory Techniques in Large N Yang-mills Theory

@inproceedings{LargeConformalFT, title={Conformal Field Theory Techniques in Large N Yang-mills Theory}, author={Large and Yang-Mills Theory and Michael R. Douglas} }

Following some motivating comments on large N two-dimensional Yang-Mills theory, we discuss techniques for large N group representation theory, using quantum mechanics on the group manifold U(N), its equivalence to a quasirelativistic two-dimensional free fermion theory, and bosonization. As applications, we compute the free energy for two-dimensional Yang-Mills theory on the torus to O(1/N 2), and an interesting approximation to the leading answer for the sphere. We discuss the question of… CONTINUE READING