Details

Autor(en) / Beteiligte

• Linander, Hampus
• Ohlsson, Fredrik

Titel

(2,0) theory on circle fibrations

Ist Teil von

• The journal of high energy physics, 2012-01, Vol.2012 (1), p.Article Number: 159, Article 159

Ort / Verlag

Berlin/Heidelberg: Springer-Verlag

Erscheinungsjahr

2012

Link zum Volltext

Quelle

Springer Nature - Complete Springer Journals

Beschreibungen/Notizen

• A bstract We consider (2, 0) theory on a manifold M 6 that is a fibration of a spatial S 1 over some five-dimensional base manifold M 5 . Initially, we study the free (2, 0) tensor multiplet which can be described in terms of classical equations of motion in six dimensions. Given a metric on M 6 the low energy effective theory obtained through dimensional reduction on the circle is a Maxwell theory on M 5 . The parameters describing the local geometry of the fibration are interpreted respectively as the metric on M 5 , a non-dynamical U(1) gauge field and the coupling strength of the resulting low energy Maxwell theory. We derive the general form of the action of the Maxwell theory by integrating the reduced equations of motion, and consider the symmetries of this theory originating from the superconformal symmetry in six dimensions. Subsequently, we consider a non-abelian generalization of the Maxwell theory on M 5 . Completing the theory with Yukawa and ϕ 4 terms, and suitably modifying the supersymmetry transformations, we obtain a supersymmetric Yang-Mills theory which includes terms related to the geometry of the fibration.