BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:New knotted solutions of Maxwell's equations - Cobi Sonnenschein
DTSTART:20160929T120000Z
DTEND:20160929T130000Z
UID:TALK67356@talks.cam.ac.uk
CONTACT:Dr. Piotr Tourkine
DESCRIPTION:In this talk I will describe topologically non-trivial solutio
 ns of vacuum electrodynamics. A prototype solution of this class is the Ho
 pfion. I will present a novel method of generating such null solutions by 
 applying conformal transformations with complex parameters on known soluti
 ons expressed in terms of Bateman’s variables. This has enabled us to ge
 t a wide class of solutions from the basic configuration like constant ele
 ctromagnetic fields and plane-waves. I will introduce a covariant formulat
 ion of the Bateman’s construction and discuss the conserved charges asso
 ciated with the conformal group as well as a set of four types of conserve
 d helicities. I will further present a formulation in terms of quaternions
 . This led to a simple map between the electromagnetic knotted and linked 
 solutions into flat connections of SU(2) gauge theory. We have computed th
 e corresponding Chern-Simons charge of a class of such connection.
LOCATION:Potter Room (first floor\, Pav. B)
END:VEVENT
END:VCALENDAR