Six-dimensional (2,0) theory on tori

6th International Symposium on Quantum Theory and Symmetries

Henningson, Måns^1

Department of Fundamental Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden^1

关键词: Abstract types;    Higher dimensions;    M theory;    Mapping class groups;    Partition functions;    Yang-Mills theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/462/1/012020/pdf
DOI  :  10.1088/1742-6596/462/1/012020

来源: IOP

【 摘 要 】

The six-dimensional (2,0) theories are a comparatively new and rather abstract type of quantum theory with important relations both to supersymmeric Yang-Mills theory in lower dimensions and to string- and M-theory in higher dimensions. After a short introduction to these theories, we focus on the case when they are considered on flat tori [1][2]. In particular, we give an example of how their ground state degeneracies can be computed, and also briefly discuss the spectrum of BPS-states. Finally, we comment on the automorphic transformation properties of the partition function of such a theory under the mapping class group of a six-torus.