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Non-Abelian tensor towers and (2,0) superconformal theories

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Abstract

With the aim to study six-dimensional (2, 0) superconformal theories with non-Abelian tensor multiplets we propose a five-dimensional superconformal action with eight supersymmetries for an infinite tower of non-Abelian vector, tensor and hypermultiplets. It describes the dynamics of the complete spectrum of the (2, 0) theories compactified on a circle coupled to an additional vector multiplet containing the circle radius and the Kaluza-Klein vector arising from the six-dimensional metric. All couplings are only given in terms of group theoretical constants and the Kaluza-Klein levels. After superconformal symmetry is reduced to Poincaré supersymmetry we find a Kaluza-Klein inspired action coupling super-Yang-Mills theory to an infinite tower of massive non-Abelian tensors. We explore the possibility to restore sixteen supersymmetries by using techniques known from harmonic superspace. Namely, additional bosonic coordinates on a four-sphere are introduced to enhance the R-symmetry group. Maximally supersymmetric Yang-Mills theories and the Abelian (2, 0) tensor theories are recovered as special cases of our construction. Finally, we comment on the generation of an anomaly balancing Wess-Zumino term for the R-symmetry vector at one loop.

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  1. Max Planck Institute for Physics, Föhringer Ring 6, 80805, Munich, Germany

    Federico Bonetti, Thomas W. Grimm & Stefan Hohenegger

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  1. Federico Bonetti
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Bonetti, F., Grimm, T.W. & Hohenegger, S. Non-Abelian tensor towers and (2,0) superconformal theories. J. High Energ. Phys. 2013, 129 (2013). https://doi.org/10.1007/JHEP05(2013)129

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