English

Root-$T \overline{T}$ Deformations in Two-Dimensional Quantum Field Theories

High Energy Physics - Theory 2022-11-23 v4 Statistical Mechanics Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

In this letter we introduce a one-parameter deformation of two-dimensional quantum field theories generated by a non-analytic operator which we call Root-TTT \overline{T}. For a conformal field theory, the operator coincides with the square-root of the TTT \overline{T} operator. More generally, the operator is defined so that classically it is marginal and generates a flow which commutes with the TTT \overline{T}-flow. Intriguingly, the Root-TTT \overline{T} flow is closely related to the ModMax theory recently constructed by Bandos, Lechner, Sorokin and Townsend.

Keywords

Cite

@article{arxiv.2206.10515,
  title  = {Root-$T \overline{T}$ Deformations in Two-Dimensional Quantum Field Theories},
  author = {Christian Ferko and Alessandro Sfondrini and Liam Smith and Gabriele Tartaglino-Mazzucchelli},
  journal= {arXiv preprint arXiv:2206.10515},
  year   = {2022}
}

Comments

6 pages; LaTeX; references and note added

R2 v1 2026-06-24T11:58:47.507Z