TT¯-deformation of q-Yang-Mills theory

Leonardo Santilli, Richard J. Szabo, Miguel Tierz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)
55 Downloads (Pure)


We derive the TT¯ -perturbed version of two-dimensional q-deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first order formalism to Jackiw-Teitelboim gravity. We show that the TT¯ -deformation results in a breakdown of the connection with a Chern-Simons theory on a Seifert manifold, and of the large N factorization into chiral and anti-chiral sectors. For the U(N) gauge theory on the sphere, we show that the large N phase transition persists, and that it is of third order and induced by instantons. The effect of the TT¯ -deformation is to decrease the critical value of the ’t Hooft coupling, and also to extend the class of line bundles for which the phase transition occurs. The same results are shown to hold for (q, t)-deformed Yang-Mills theory. We also explicitly evaluate the entanglement entropy in the large N limit of Yang-Mills theory, showing that the TT¯ -deformation decreases the contribution of the Boltzmann entropy.

Original languageEnglish
Article number86
JournalJournal of High Energy Physics
Issue number11
Early online date17 Nov 2020
Publication statusPublished - Nov 2020


  • Field Theories in Lower Dimensions
  • Matrix Models
  • Nonperturbative Effects

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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