English

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

High Energy Physics - Theory 2015-06-18 v2

Abstract

We study a family of circular BPS Wilson loops in N=6 super Chern-Simons-matter theories, generalizing the usual 1/2-BPS circle. The scalar and fermionic couplings depend on two deformation parameters and these operators can be considered as the ABJ(M) counterpart of the DGRT latitudes defined in N=4 SYM. We perform a complete two-loop analysis of their vacuum expectation value, discuss the framing dependence and propose a general relation with cohomologically equivalent bosonic operators. We make an all-loop proposal for computing the Bremsstrahlung function associated to the 1/2-BPS cusp in terms of these generalized Wilson loops. When applied to our two-loop result it reproduces the known expression. Finally, we comment on the generalization of this proposal to the bosonic 1/6-BPS case.

Keywords

Cite

@article{arxiv.1402.4128,
  title  = {BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis},
  author = {Marco S. Bianchi and Luca Griguolo and Matias Leoni and Silvia Penati and Domenico Seminara},
  journal= {arXiv preprint arXiv:1402.4128},
  year   = {2015}
}

Comments

46 pages, 6 figures; references added

R2 v1 2026-06-22T03:10:01.252Z