M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
High Energy Physics - Theory
2011-02-23 v3
Abstract
We revisit the relation of the six-dimensional (2,0) M5-brane Conformal Field Theory compactified on a circle to 5D maximally supersymmetric Yang-Mills Gauge Theory. We show that in the broken phase 5D super-Yang-Mills contains a spectrum of soliton states that can be identified with the complete Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides evidence that the (2,0) theory on a circle is equivalent to 5D super-Yang-Mills with no additional UV degrees of freedom, suggesting that the latter is in fact a well-defined quantum theory and possibly finite.
Cite
@article{arxiv.1012.2882,
title = {M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills},
author = {Neil Lambert and Constantinos Papageorgakis and Maximilian Schmidt-Sommerfeld},
journal= {arXiv preprint arXiv:1012.2882},
year = {2011}
}
Comments
16 pages, Latex; v2: typos corrected and references added; v3: expanded discussion of photon states and revised Higgs mechanism, conclusions unchanged