English

Factorization of the 3d superconformal index

High Energy Physics - Theory 2013-08-19 v2

Abstract

We prove that 3d superconformal index for general N=2\mathcal N=2 U(N) gauge group with fundamentals and anti-fundmentals with/without Chern-Simons terms is factorized into vortex and anti-vortex partition function. We show that for simple cases, 3d vortex partition function coincides with a suitable topological open string partition function. We provide much more elegant derivation at the index level for N=2\mathcal N=2 Seiberg-like dualities of unitary gauge groups with fundamantal matters and N=4\mathcal N=4 mirror symmetry

Keywords

Cite

@article{arxiv.1211.6023,
  title  = {Factorization of the 3d superconformal index},
  author = {Chiung Hwang and Hee-Cheol Kim and Jaemo Park},
  journal= {arXiv preprint arXiv:1211.6023},
  year   = {2013}
}

Comments

43 pages, 2 figures ; minor revisions, some technical details clarified, add references

R2 v1 2026-06-21T22:44:14.119Z