Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry

التفاصيل البيبلوغرافية
العنوان: Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
المؤلفون: Ferko, Christian, Smith, Liam, Tartaglino-Mazzucchelli, Gabriele
المصدر: SciPost Phys. 15, 198 (2023)
سنة النشر: 2023
المجموعة: Mathematics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology, Mathematical Physics
الوصف: 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.
Comment: 64 pages; v3: comments and references added
نوع الوثيقة: Working Paper
DOI: 10.21468/SciPostPhys.15.5.198
URL الوصول: http://arxiv.org/abs/2301.10411
رقم الأكسشن: edsarx.2301.10411
قاعدة البيانات: arXiv
الوصف
DOI:10.21468/SciPostPhys.15.5.198