We reconsider Chern-Simons gauge theory on a Seifert manifold M (the total space of a
nontrivial circle bundle over a Riemann surface Σ). When M is a Seifert manifold, Lawrence …

A bstract In fivebrane compactifications on 3-manifolds, we point out the importance of all flat
connections in the proper definition of the effective 3d\(\mathcal {N}= 2\) theory. The …

Abstract We reconsider Chern–Simons gauge theory on a Seifert manifold M, which is the
total space of a non-trivial circle bundle over a Riemann surface Σ, possibly with orbifold …

This book is based on my graduate-course lectures given at the Graduate School of
Mathematics of the University of Tokyo in October 2008 (at the invitation of T. Funaki and M …

The eigenvalue probability density function (PDF) for the Gaussian unitary ensemble has a
well-known analogy with the Boltzmann factor for a classical log-gas with pair potential− log …

We study the WZW, Chern-Simons, and 2d qYM theories with gauge group U (N). The U (N)
WZW model is only well-defined for odd level K, and this model is shown to exhibit level …

Employing the random matrix formulation of Chern-Simons theory on Seifert manifolds, we
show how the Stieltjes-Wigert orthogonal polynomials are useful in exact computations in …

We analyze large N phase transitions for U (N) q-deformed two-dimensional Yang-Mills
theory on<? format?> the sphere. We determine the phase diagram of the model and we …

Abstract We study N= 2 N= 2 supersymmetric U (N) Chern–Simons with N_ f N f fundamental
and N_ f N f antifundamental chiral multiplets of mass m in the parameter space spanned by …

We examine the problem of counting bound states of BPS black holes on local Calabi-Yau
threefolds which are fibrations over a Riemann surface by computing the partition function of …