Nonlinear electrodynamics, its supersymmetric and conformal generalizations and applications

by Dr Steven Duplij (Rutgers Univerisity and Kharkov National University, Ukraine)

Tuesday Apr 17, 2012, 3:00 PM → 4:00 PM Pacific/Honolulu

Watanabe Hall 112

We give a very general description of nonlinear classical electrodynamics, making use of generalized constitutive equations and constitutive tensors. Our approach includes non-Lagrangian as well as Lagrangian theories, allows for electromagnetic feds in the widest possible variety of media (anisotropic, piroelectric, chiral and ferromagnetic), and accommodates the incorporation of nonlocal effects. We then propose a supersymmetric version of the general constitutive equations, in a superfield approach. Then we consider nonlinear classical electrodynamics in six-dimensional case, which is reduced to four-dimensional conformal nonlinear theory. Some possible applications are outlined.