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Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
Instanton partition functions N=2 SU(N) gauge theories general surface operator W-algebra duals
2011/3/2
We write down an explicit conjecture for the instanton partition functions in 4d N = 2 SU(N) gauge theories in the presence of a certain type of surface operator.
Surface Gap Soliton Ground States for the Nonlinear Schrödinger Equation
Surface Gap Soliton Ground States the Nonlinear Schrö dinger Equation
2010/11/18
We consider the nonlinear Schr\"{o}dinger equation $(-\Delta +V(x))u = \Gamma(x) |u|^{p-1}u$, $x\in \R^n$ with $V(x) = V_1(x) \chi_{\{x_1>0\}}(x)+V_2(x) \chi_{\{x_1<0\}}(x)$ and $\Gamma(x) = \Gamma_1(...
We study the subgroup structure of the \'etale fundamental group $\Pi$ of a projective curve over an algebraically closed field of characteristic 0. We obtain an analog of the diamond theorem for $\P...
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations
the 2D Navier-Stokes surface quasi-geostrophic equations
2010/11/8
This paper is devoted to the global (in time) regularity problem for a family of active scalar equations with fractional dissipation. Each component of the velocity field $u$ is determined by the act...
An Infinite Surface With The Lattice Property I: Veech Groups and Coding Geodesics
The Lattice Property I Veech Groups Coding Geodesics
2010/11/9
We study the symmetries and geodesics of an infinite translation surface which arises as a limit of translation surfaces built from regular polygons, studied by Veech. We find the affine symmetry grou...