Advanced studies in pure mathematics· 2018Q3
Integrable Field Theory from Conformal Field Theory
- 465citations
- Q3SCImago
- 2018year
Short summary
Two-dimensional quantum field theories perturbed from conformal field theories (CFTs) can possess non-trivial local integrals of motion, as demonstrated for specific degenerate fields.
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Key points
- Analyzes 2D quantum field theories perturbed from CFTs.
- Shows that specific degenerate perturbations lead to non-trivial local integrals of motion.
- Applies this to the Ising model at criticality with a magnetic field.
- Discusses implications for particle theory and conjectures the exact S-matrix.
AI-generated from the title and abstract; the full text is not read.
Abstract
<!-- *** Custom HTML *** --> Equations of motion for two-dimensional quantum field theory obtained as some relevant perturbation around CFT are analyzed. It is shown that for particular degenerate fields taken as the perturbations, the resulting field theories posseses non-trivial local integrals of motion. The example is the scaling limit of the Ising model at $T = T_c$ but with non-vanishing magnetic field. Implications of the integrals of motion for corresponding particle theory are discussed and the exact S-matrix for the critical Ising model with magnetic field is conjectured.
The authors' abstract, as published at the source. Advanced studies in pure mathematics, 2018 · DOI ↗
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Geometry and TopologyMathematics