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.

Discrete

Nonperturbative Effects

M-Theory

and Finite Symmetries

Field Theories in Higher Dimensions

Författare

Måns Henningson

Chalmers, Teknisk fysik, Elementarpartikelfysik

Journal of High Energy Physics

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

1

Ämneskategorier

Fysik

DOI

10.1007/JHEP01(2010)090

Mer information

Skapat

2017-10-07