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Conformal properties of the Self-Dual YM Theory

Starts at:Mon 18 Nov 2019, 14:00
Speaker:Alexei RoslyInstitute:ITEP, Skoltech & HSE

Abstract:I would like to promote the Self-Dual Yang Mills Theory as a possibly
simplest non-linear conformal field theory in 4d with no supersymmetry.
This field theory possesses UV divergences, but these do not spoil the
conformal covariance: the effect of renormalization is that the coupling
constant does not run, it is only a field renormalization which is
needed. This results in a conformal invariance of the effective action
under anomalous conformal transformations. I can give only a partial,
but hopefully convincing proof of the latter. If the time permits I will
also discuss the issue of conformal observables in this theory in
relation with twistor geometry.

Room:Seminarraum 0.01
Contact: Stefan Theisen