Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry
We identify the unique stress tensor deformation which preserves zero-birefringence conditions in non-linear electrodynamics, which is a $4d$ version of the $T\overline{T}$ operator. We study the flows driven by this operator in the three Lagrangian theories without birefringence - Born-Infeld, Pleb...
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| Format: | Article |
| Language: | English |
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SciPost
2023-11-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.5.198 |
| _version_ | 1797537402778025984 |
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| author | Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli |
| author_facet | Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli |
| author_sort | Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli |
| collection | DOAJ |
| description | We identify the unique stress tensor deformation which preserves zero-birefringence conditions in non-linear electrodynamics, which is a $4d$ version of the $T\overline{T}$ operator. We study the flows driven by this operator in the three Lagrangian theories without birefringence - Born-Infeld, Plebanski, and reverse Born-Infeld - all of which admit ModMax-like generalizations using a root-$T\overline{T}$-like flow that we analyse in our paper. We demonstrate one way of making this root-$T\overline{T}$-like flow manifestly supersymmetric by writing the deforming operator in $\mathcal{N} = 1$ superspace and exhibit two examples of superspace flows. We present scalar analogues in $d = 2$ with similar properties as these theories of electrodynamics in $d = 4$. Surprisingly, the Plebanski-type theories are fixed points of the classical $T\overline{T}$-like flows, while the Born-Infeld-type examples satisfy new flow equations driven by relevant operators constructed from the stress tensor. Finally, we prove that any theory obtained from a classical stress-tensor-squared deformation of a conformal field theory gives rise to a related "subtracted" theory for which the stress-tensor-squared operator is a constant. |
| first_indexed | 2024-03-10T12:15:37Z |
| format | Article |
| id | doaj.art-a91543504d774a588118b0a707868486 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-10T12:15:37Z |
| publishDate | 2023-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-a91543504d774a588118b0a7078684862023-11-21T15:53:58ZengSciPostSciPost Physics2542-46532023-11-0115519810.21468/SciPostPhys.15.5.198Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetryChristian Ferko, Liam Smith, Gabriele Tartaglino-MazzucchelliWe identify the unique stress tensor deformation which preserves zero-birefringence conditions in non-linear electrodynamics, which is a $4d$ version of the $T\overline{T}$ operator. We study the flows driven by this operator in the three Lagrangian theories without birefringence - Born-Infeld, Plebanski, and reverse Born-Infeld - all of which admit ModMax-like generalizations using a root-$T\overline{T}$-like flow that we analyse in our paper. We demonstrate one way of making this root-$T\overline{T}$-like flow manifestly supersymmetric by writing the deforming operator in $\mathcal{N} = 1$ superspace and exhibit two examples of superspace flows. We present scalar analogues in $d = 2$ with similar properties as these theories of electrodynamics in $d = 4$. Surprisingly, the Plebanski-type theories are fixed points of the classical $T\overline{T}$-like flows, while the Born-Infeld-type examples satisfy new flow equations driven by relevant operators constructed from the stress tensor. Finally, we prove that any theory obtained from a classical stress-tensor-squared deformation of a conformal field theory gives rise to a related "subtracted" theory for which the stress-tensor-squared operator is a constant.https://scipost.org/SciPostPhys.15.5.198 |
| spellingShingle | Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry SciPost Physics |
| title | Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry |
| title_full | Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry |
| title_fullStr | Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry |
| title_full_unstemmed | Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry |
| title_short | Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry |
| title_sort | stress tensor flows birefringence in non linear electrodynamics and supersymmetry |
| url | https://scipost.org/SciPostPhys.15.5.198 |
| work_keys_str_mv | AT christianferkoliamsmithgabrieletartaglinomazzucchelli stresstensorflowsbirefringenceinnonlinearelectrodynamicsandsupersymmetry |