The Triple $T\bar{T}$-Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant
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| Format: | Preprint |
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2026
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| _version_ | 1866913175611375616 |
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| author | Babaei-Aghbolagh, H. Chen, Bin He, Song Hou, Jue |
| author_facet | Babaei-Aghbolagh, H. Chen, Bin He, Song Hou, Jue |
| contents | We introduce a one-parameter root-$T\bar T$-like flow, $ \partial_λ\mathcal{L}=\mathcal{R}_λ^{1/α}$, which organizes stress-tensor deformations into irrelevant, marginal, and relevant branches. Within duality-invariant electrodynamics in four dimensions, and equivalently within two-dimensional integrable sigma models, the flow admits a closed-form solution controlled by an auxiliary equation. The marginal point $α=1$ reproduces the root-$T\bar T$ / ModMax branch, while $α<1$ gives irrelevant deformations distinct from the standard Born-Infeld $T\bar T$ flow. For $α>1$, the same construction yields explicit relevant $T\bar T$-like Lagrangians. These results suggest that root-$T\bar T$ flows provide a common organizing principle for duality-invariant and integrable deformations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2606_00536 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Triple $T\bar{T}$-Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant Babaei-Aghbolagh, H. Chen, Bin He, Song Hou, Jue High Energy Physics - Theory We introduce a one-parameter root-$T\bar T$-like flow, $ \partial_λ\mathcal{L}=\mathcal{R}_λ^{1/α}$, which organizes stress-tensor deformations into irrelevant, marginal, and relevant branches. Within duality-invariant electrodynamics in four dimensions, and equivalently within two-dimensional integrable sigma models, the flow admits a closed-form solution controlled by an auxiliary equation. The marginal point $α=1$ reproduces the root-$T\bar T$ / ModMax branch, while $α<1$ gives irrelevant deformations distinct from the standard Born-Infeld $T\bar T$ flow. For $α>1$, the same construction yields explicit relevant $T\bar T$-like Lagrangians. These results suggest that root-$T\bar T$ flows provide a common organizing principle for duality-invariant and integrable deformations. |
| title | The Triple $T\bar{T}$-Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2606.00536 |