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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.24058 |
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| _version_ | 1866914357871378432 |
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| author | Brizio, Nicolò Kade, Moritz Sfondrini, Alessandro Sorokin, Dmitri P. |
| author_facet | Brizio, Nicolò Kade, Moritz Sfondrini, Alessandro Sorokin, Dmitri P. |
| contents | We investigate several possible generalisations of $T\overline{T}$ deformations to three- and higher-dimensional field theories. Starting from the two-dimensional $T\overline{T}$ 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 $T\overline{T}$ 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 $d=3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_24058 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | More on $T \overline{T}$-like deformations in higher dimensions Brizio, Nicolò Kade, Moritz Sfondrini, Alessandro Sorokin, Dmitri P. High Energy Physics - Theory We investigate several possible generalisations of $T\overline{T}$ deformations to three- and higher-dimensional field theories. Starting from the two-dimensional $T\overline{T}$ 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 $T\overline{T}$ 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 $d=3$. |
| title | More on $T \overline{T}$-like deformations in higher dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.24058 |