TY - JOUR
T1 - Noncommutative gauge and gravity theories and geometric Seiberg???Witten map
AU - ASCHIERI, Paolo Maria
AU - CASTELLANI, Leonardo
N1 - Publisher Copyright:
© The Author(s) 2023.
PY - 2023
Y1 - 2023
N2 - We give a pedagogical account of noncommutative gauge and gravity theories, where the exterior product between forms is deformed into a (*)-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.
AB - We give a pedagogical account of noncommutative gauge and gravity theories, where the exterior product between forms is deformed into a (*)-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.
UR - https://iris.uniupo.it/handle/11579/165844
U2 - 10.1140/epjs/s11734-023-00831-7
DO - 10.1140/epjs/s11734-023-00831-7
M3 - Article
SN - 1951-6355
JO - THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS
JF - THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS
ER -