Level-Rank Duality in Chern-Simons Theory from a Non-Supersymmetric Brane Configuration
High Energy Physics - Theory
2015-06-22 v1
Abstract
We derive level-rank duality in pure Chern-Simons gauge theories from a non-supersymmetric Seiberg duality by using a non-supersymmetric brane configuration in type IIB string theory. The brane configuration consists of fivebranes, N D3 antibranes and an O3 plane. By swapping the fivebranes we derive a 3d non-supersymmetric Seiberg duality. After level shifts from loop effects, this identifies the IR of Sp(2N)_{2k-2N+2} and Sp(2k-2N+2)_{-2N} pure Chern-Simons theories, which is a level-rank pair. We also derive level-rank duality in a Chern-Simons theory based on a unitary group.
Keywords
Cite
@article{arxiv.1408.4633,
title = {Level-Rank Duality in Chern-Simons Theory from a Non-Supersymmetric Brane Configuration},
author = {Adi Armoni and Edwin Ireson},
journal= {arXiv preprint arXiv:1408.4633},
year = {2015}
}
Comments
10 pages, 3 figures