Complex Chern-Simons from M5-branes on the Squashed Three-Sphere
High Energy Physics - Theory
2013-05-14 v1
Abstract
We derive an equivalence between the (2,0) superconformal M5-brane field theory dimensionally reduced on a squashed three-sphere, and Chern-Simons theory with complex gauge group. In the reduction, the massless fermions obtain an action which is second order in derivatives and are reinterpreted as ghosts for gauge fixing the emergent non-compact gauge symmetry. A squashing parameter in the geometry controls the imaginary part of the complex Chern-Simons level.
Keywords
Cite
@article{arxiv.1305.2891,
title = {Complex Chern-Simons from M5-branes on the Squashed Three-Sphere},
author = {Clay Cordova and Daniel L. Jafferis},
journal= {arXiv preprint arXiv:1305.2891},
year = {2013}
}
Comments
26 pages + appendices