Abstract
AbstractWe give a pedagogical account of noncommutative gauge and gravity theories, where the exterior product between forms is deformed into a $$\star$$
⋆
-product via an abelian twist (e.g. the Groenewold–Moyal twist). The Seiberg–Witten map between commutative and noncommutative gauge theories is introduced. It allows to express the action of noncommutative Einstein gravity coupled to spinor fields in terms of the usual commutative action with commutative fields plus extra interaction terms dependent on the noncommutativity parameter.
Funder
INFN
Università degli Studi del Piemonte Orientale
Università degli Studi del Piemonte Orientale Amedeo Avogrado
Publisher
Springer Science and Business Media LLC
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,General Materials Science