(2,0) theory on circle fibrations

Abstract

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 phi^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.

24 pages, v2 References added, typos corrected

References in corpus (5)

• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• On S-duality of 5d super Yang-Mills on S^1
• M5 brane on $R^{1,2}\times S^3$
• Geometric Langlands From Six Dimensions

Cited by in corpus (23)

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• Lessons from M2's and Hopes for M5's
• M5/D4 brane partition function on a circle bundle
• M5 brane on $R^{1,2}\times S^3$
• Deconstructing graviphoton from mass-deformed ABJM
• A nonabelian M5 brane Lagrangian in a supergravity background
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• The non-Abelian tensor multiplet
• The Yang-Mills and chiral fields in six dimensions
• Charged Chiral Fermions from M5-Branes
• Lightlike reduction of the M5 brane
• (2,0) theory on Taub-NUT: A note on WZW models on singular fibrations
• Partition Functions for Maxwell Theory on the Five-torus and for the Fivebrane on S1XT5
• Dimensional reduction of M5 branes
• Partially twisted superconformal M5 brane in R-symmetry gauge field backgrounds
• Q-balls of Quasi-particles in a (2,0)-theory model of the Fractional Quantum Hall Effect
• Five-dimensional Super-Yang-Mills and its Kaluza-Klein tower
• A proposal for the non-Abelian tensor multiplet
• Instantonic string solitons on M5 branes