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We study TT[over ¯]-like deformations of d>2 Yang-Mills theories. The standard TT[over ¯] flows lead to multitrace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to TT[over ¯], 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 symmetrized single-trace TT[over ¯]-like deformations, whose solutions in d=4 include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.

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Publication Details

Journal
Physical Review Letters
Published
2025-03-14
DOI
https://doi.org/10.1103/physrevlett.134.101603
Citations
6
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
11.22

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article

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Christian Ferko, Tommaso Morone, Roberto Tateo, Gabriele Tartaglino‐Mazzucchelli et al.
6 citations
Physical Review Letters
Black Holes and Theoretical Physics
11.22
article

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Christian Ferko, Tommaso Morone, Roberto Tateo, Gabriele Tartaglino‐Mazzucchelli, Jue Hou
article en
6 citations

Abstract

We study TT[over ¯]-like deformations of d>2 Yang-Mills theories. The standard TT[over ¯] flows lead to multitrace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to TT[over ¯], 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 symmetrized single-trace TT[over ¯]-like deformations, whose solutions in d=4 include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.

Physical Review LettersVol. 134(10)
Northeastern University (US), The University of Queensland (AU), Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT), The NSF AI Institute for Artificial Intelligence and Fundamental Interactions (US), University of Turin (IT), Southeast University (CN), Universidad del Noreste (MX)
National Science Foundation, University of California, University of Queensland, China Postdoctoral Science Foundation, Ministero dell’Istruzione, dell’Università e della Ricerca, Australian Research Council, Instituto Nazionale di Fisica Nucleare
Openalex Percentile: Top 2%
Black Holes and Theoretical Physics
11.22
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