English

Comments on 3d Seiberg-like dualities

High Energy Physics - Theory 2012-08-15 v4

Abstract

We study Seiberg-like dualities in three dimensional N=2 supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the duality map. We introduce new Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations. These dualities are derived from Aharony duality by real mass deformations. They allow to initiate the systematic study of Seiberg-like dualities in Chern-Simons quivers. We also comment on known Seiberg-like dualities for symplectic and orthogonal gauge groups and extend the latter to the Yang-Mills case. We check our proposals by showing that the localized partition functions on the squashed S^3 match between dual descriptions.

Keywords

Cite

@article{arxiv.1108.5373,
  title  = {Comments on 3d Seiberg-like dualities},
  author = {Francesco Benini and Cyril Closset and Stefano Cremonesi},
  journal= {arXiv preprint arXiv:1108.5373},
  year   = {2012}
}

Comments

42 pages, 2 figures; v2: Corrected typos, added references and a footnote on SUSY breaking; v3: Corrected paragraph at page 33; v4: Typos corrected

R2 v1 2026-06-21T18:55:46.115Z