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Automorphic properties of (2,0) theory on T-6

Måns Henningson (Institutionen för fundamental fysik, Elementarpartikelfysik)
Journal of High Energy Physics (1126-6708). 1, (2010)
[Artikel, refereegranskad vetenskaplig]

We consider ADE-type (2, 0) theory on a family of flat six-tori endowed with flat Sp(4) connections coupled to the R-symmetry. Our main objects of interest are the components of the 'partition vector' of the theory. These constitute an element of a certain finite dimensional vector space, carrying an irreducible representation of a discrete Heisenberg group related to the 't Hooft fluxes of the theory. Covariance under the SL6(Z) mapping class group of a six-torus amounts to a certain automorphic transformation law for the partition vector, which we derive. Because of the absence of a Lagrangian formulation of (2, 0) theory, this transformation property is not manifest, and gives useful non-trivial constraints on the partition vector. As an application, we derive a shifted quantization law for the spatial momentum of (2, 0) theory on a space-time of the form R x T-5. This quantization law is in agreement with an earlier result based on the relationship between (2, 0) theory and maximally supersymmetric Yang-Mills theory together with certain geometric facts about gauge bundles.

Nyckelord: Nonperturbative Effects, Field Theories in Higher Dimensions, Discrete, and Finite Symmetries, M-Theory

Denna post skapades 2010-02-15. Senast ändrad 2016-10-06.
CPL Pubid: 112217


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Institutioner (Chalmers)

Institutionen för fundamental fysik, Elementarpartikelfysik (2005-2013)



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