English

Large $N$ phase transition in $T \overline{T}$-deformed $2d$ Yang-Mills theory on the sphere

High Energy Physics - Theory 2019-01-16 v2 Mathematical Physics math.MP

Abstract

We study the partition function of a TTT \overline{T}-deformed version of Yang-Mills theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a range of values of the deformation parameter, and that the critical area is lowered. The transition is of third order and also induced by instantons, whose contributions we characterize.

Keywords

Cite

@article{arxiv.1810.05404,
  title  = {Large $N$ phase transition in $T \overline{T}$-deformed $2d$ Yang-Mills theory on the sphere},
  author = {Leonardo Santilli and Miguel Tierz},
  journal= {arXiv preprint arXiv:1810.05404},
  year   = {2019}
}

Comments

I+24 pages, 3 figures; v2: minor corrections, published version