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On Self-Dual Yang-Mills Theory

by Dr. Alexei Rosly (ITEP, Mosca - Russia)

Dec 11, 2014 from 11:00 AM to 12:30 PM

Where Aula Teorici, via Irnerio 46

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Abstract:

We shall discuss a first-order gauge theory whose equations of motion are the self-duality equations. There are reasons to regard this theory as a "part" of standard YM Lagrangian responsible for "mostly plus" scattering amplitudes. The quantum properties of this self-dual theory are peculiarly simple, but still instructive, and hint at a possible complete solvabillity. This type of theory, on one hand, can be related to a certain limit of (twisted) N=2 super Yang-Mills theory, while, on the other hand, it is equivalent to a holomorphic Chern-Simons type theory on twistor space classically and presumably quantum mechanically.