Root-$T\bar{T}$ Deformations on Causal Self-Dual Electrodynamic Theories
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| author | Babaei-Aghbolagh, Hossein Velni, Komeil Babaei He, Song Pezhman, Zahra |
| author_facet | Babaei-Aghbolagh, Hossein Velni, Komeil Babaei He, Song Pezhman, Zahra |
| contents | The self-dual condition, which ensures invariance under electromagnetic duality, manifests as a partial differential equation in nonlinear electromagnetism theories. The general solution to this equation is expressed in terms of an auxiliary field, $τ$, and Courant-Hilbert functions, $\ell(τ)$, which depend on $τ$. Recent studies have shown that duality-invariant nonlinear electromagnetic theories fulfill the principle of causality under the conditions $\frac{\partial \ell}{\partial τ} \ge 1$ and $\frac{\partial^2 \ell}{\partial τ^2} \ge 0$.
In this paper, we investigate theories with two coupling constants that also comply with the principle of causality. We demonstrate that these theories possess a new universal representation of the root-$T\bar{T}$ operator. Additionally, we derive marginal and irrelevant flow equations for the logarithmic causal self-dual electrodynamics and identify a symmetry referred to as $α$-symmetry, which is present in all these models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10361 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Root-$T\bar{T}$ Deformations on Causal Self-Dual Electrodynamic Theories Babaei-Aghbolagh, Hossein Velni, Komeil Babaei He, Song Pezhman, Zahra High Energy Physics - Theory The self-dual condition, which ensures invariance under electromagnetic duality, manifests as a partial differential equation in nonlinear electromagnetism theories. The general solution to this equation is expressed in terms of an auxiliary field, $τ$, and Courant-Hilbert functions, $\ell(τ)$, which depend on $τ$. Recent studies have shown that duality-invariant nonlinear electromagnetic theories fulfill the principle of causality under the conditions $\frac{\partial \ell}{\partial τ} \ge 1$ and $\frac{\partial^2 \ell}{\partial τ^2} \ge 0$. In this paper, we investigate theories with two coupling constants that also comply with the principle of causality. We demonstrate that these theories possess a new universal representation of the root-$T\bar{T}$ operator. Additionally, we derive marginal and irrelevant flow equations for the logarithmic causal self-dual electrodynamics and identify a symmetry referred to as $α$-symmetry, which is present in all these models. |
| title | Root-$T\bar{T}$ Deformations on Causal Self-Dual Electrodynamic Theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.10361 |