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${T\overline{T}}$-like Flows of Yang-Mills Theories

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arxiv 2409.18740 v1 pith:IJIJQ67W submitted 2024-09-27 hep-th

classification hep-th
keywords overlinelikedeformationsflowslagrangiansnon-abeliansolutionstheories
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abstract

We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to ${T\overline{T}}$, we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrised single-trace ${T\overline{T}}$-like deformations, whose solutions in $d=4$ include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Soliton Surfaces and the Geometry of Integrable Deformations of the $\mathbb{CP}^{N-1}$ Model

    hep-th 2025-09 conditional novelty 6.0 of 10

    Instanton solutions with vanishing energy-momentum tensor remain solutions under analytic TTbar-like deformations, and the deformed CP^{N-1} model is equivalent to the undeformed model on a field-dependent unit-determ...

  2. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

  3. Solutions to the Ricci Flow via Einstein Field Equations

    hep-th 2024-11 conditional novelty 5.0 of 10

    Deforming the matter sector via quadratic stress-energy functionals maps solutions of Einstein field equations to solutions of the Ricci-Bourguignon flow.

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