More on $$ T\overline{T} $$-like deformations in higher dimensions
Abstract
A bstract We investigate several possible generalisations of $$ T\overline{T} $$ T T ¯ deformations to three- and higher-dimensional field theories. Starting from the two-dimensional $$ T\overline{T} $$ T T ¯ flow, we work out its higher-dimensional uplift, which results in a non-local and non-isotropic three-dimensional theory. Starting instead from the relation between the Nambu-Goto action and $$ T\overline{T} $$ T T ¯ in d = 2, we study the flow equation obeyed by the Dirac-Nambu-Goto actions in d > 2 dimensions, written in terms of the stress-energy tensor only. Similarly, we derive the stress-tensor flow obeyed by the Born-Infeld actions in d dimensions and by the Dirac-Born-Infeld actions in d = 2 and d = 3.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 6
- Publication date
- 25 June 2026
- Language
- EN