A new look at symmetries in noncommutative field theory.

Abstract:

I will describe a new class of noncommutative field theories, building on many older works in the literature, which possess 'braided gauge symmetries'. Their construction is motivated by recent attempts to relieve the constraints imposed by conventional star-gauge symmetries and their tension with twisted diffeomorphisms, and by the modern perspective on classical field theories based on homotopy algebras. I will review all of the necessary background, focusing on the case of diffeomorphism invariant theories for illustration. As an example, I will show how these considerations lead to a new theory of noncommutative gravity in four dimensions within the Einstein-Cartan-Palatini formalism.

mathematical physics

Audience: researchers in the topic

Noncommutative Geometry and Physics

Series comments: Noncommutative geometry is a very general mathematical paradigm arising from quantum mechanics. As such, it permeates different branches of mathematics and physics.

The series of monthly talks accompanies the special issue of Journal of Physics A and is intended to present the many facets of the emergence of noncommutativity in physics.

Past seminars can be viewed on YouTube channel.