10.10.2012 (Wednesday)

Minimal Area Surfaces and Wilson Loops

Regular Seminar Martin Kruczenski (Purdue)

at:
14:00 IC
room H503
abstract:

The AdS/CFT correspondence has recently allowed the computation of gauge theory quantities in the strong coupled regime (for certain particular theories). One important such quantity is the Wilson loop which is related to the quark/ anti-quark potential, scattering amplitudes, etc. The computation is reduced to finding minimal area surfaces in hyperbolic space. Although this is a classical problem in mathematics its solution is not easy since it involves non-linear partial differential equations. In this talk I will describe some recent work where we found an infinite parameter family of such surfaces by using Riemann Theta functions to analytically solve the equations.