Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections

• Published in: The journal of high energy physics Vol. 2018; no. 6; pp. 1 - 24
• Main Authors: Huang, Kuo-Wei, Roiban, Radu, Tseytlin, Arkady A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018; Springer Nature B.V; Springer Berlin; SpringerOpen
• Subjects: Anomalies in Field and String Theories; Classical and Quantum Gravitation; Elementary Particles; Field Theories in Higher Dimensions; Gauge Symmetry; High energy physics; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Gauge Symmetry; Anomalies in Field and String Theories; Field Theories in Higher Dimensions
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP06(2018)134

A bstract We study a 6d model of a set of self-dual 2-form B -fields interacting with a non-abelian vector A -field which is restricted to a 5d subspace. One motivation is that if the gauge vector could be expressed in terms of the B -field or integrated out, this model could lead to an interacting theory of B -fields only. Treating the 5d gauge vector as a background field, we compute the divergent part of the corresponding one-loop effective action which has the ( DF ) 2 + F 3 structure and compare it with similar contributions from other 6d fields. We also discuss a 4d analog of the non-abelian self-dual model, which turns out to be UV finite.