flow as characteristic flows
arXiv:2208.05391 · doi:10.1007/JHEP03(2023)243
Abstract
We show that method of characteristics provides a powerful new point of view on -and related deformations. Previously, the method of characteristics has been applied to -deformation mainly to solve Burgers' equation, which governs the deformation of the \emph{quantum} spectrum. In the current work, we study \emph{classical} deformed quantities using this method and show that flow can be seen as a characteristic flow. Exploiting this point of view, we re-derive a number of important known results and obtain interesting new ones. We prove the equivalence between dynamical change of coordinates and the generalized light-cone gauge approaches to -deformation. We find the deformed Lagrangians for a class of -like deformations in higher dimensions and the -deformation in 2d with generic , generalizing recent results in arXiv:2206.03415 and arXiv:2206.10515.
38 pages, 2 figures, references updated
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Cited by in corpus (7)
- Root- Deformed Boundary Conditions in Holography
- Massive gravity generalization of deformations
- Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
- Quantization of the ModMax Oscillator
- ModMax Oscillators and Root--Like Flows in Supersymmetric Quantum Mechanics
- -Like Flows and Nonlinear Supersymmetry
- Root- deformed CFT partition functions at large central charge