Automorphic properties of (2,0) theory on T-6
Artikel i vetenskaplig tidskrift, 2010

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.


Nonperturbative Effects


and Finite Symmetries

Field Theories in Higher Dimensions


Måns Henningson

Chalmers, Teknisk fysik, Elementarpartikelfysik

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)