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.
arXiv comment38 pages, 2 figures, references updated
References in corpus (44)
- On space of integrable quantum field theories
- -deformed 2D Quantum Field Theories
- A non-linear duality-invariant conformal extension of Maxwell's equations
- Asymptotic Fragility, Near Holography and
- Solving the Simplest Theory of Quantum Gravity
- Cutoff AdS versus the deformation
- The deformation of quantum field theory as random geometry
- Partition Function from Topological Gravity
- Holography at finite cutoff with a deformation
- The perturbation and its geometric interpretation
- -deformations in closed form
- Entanglement entropy and deformation
- and the mirage of a bulk cutoff
- Nonlinear electrodynamics with the maximum allowable symmetries
- A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
- On p-form gauge theories and their conformal limits
- Natural Tuning: Towards A Proof of Concept
- Emergence of non-linear electrodynamic theories from -like deformations
- Deformations, Massive Gravity and Non-Critical Strings
- deformed CFT as a non-critical string
- -deformations, AdS/CFT and correlation functions
- Correlation functions, entanglement and chaos in the /-deformed CFTs
- Conserved currents and irrelevant deformations of 2D integrable field theories
- Root- Deformations in Two-Dimensional Quantum Field Theories
- Sphere partition functions and cut-off AdS
- Entanglement Entropy for deformed CFT in general dimensions
- Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite deformations
- Correlation functions of the CFTs on torus with deformation
- -Deformed Actions and (1,1) Supersymmetry
- Path Integral Optimization for Deformation
- deformations and integrable spin chains
- , , and deformations
- -deformation and long range spin chains
- -like Flows in Non-linear Electrodynamic Theories and S-duality
- Boosting to BMS
- Aspects of Hyperscaling Violating Geometries at Finite Cutoff
- Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
- -deformed 1d Bose gas
- deformation in SCFTs and integrable supersymmetric theories
- Note on the nonrelativistic deformation
- Maximally Supersymmetric RG Flows in 4D and Integrability
- Lax Connections in -deformed Integrable Field Theories
- Deformations of nonrelativistic models
- Irrelevant Deformations with Boundaries and Defects
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