Integrable hierarchies from BRST-anti-BRST gauge-fixing
V. Calian
TL;DR
This paper uses BRST and anti-BRST gauge-fixing techniques to establish criteria for classical bi-Hamiltonian systems and constructs integrable hierarchies from these charges.
Contribution
It introduces a novel approach linking BRST gauge-fixing to the generation of integrable hierarchies in classical systems.
Findings
Derived existence criterion for bi-Hamiltonian systems
Constructed integrable hierarchies from BRST charges
Linked gauge-fixing deformation to integrability
Abstract
The BRST formulation is used in order to derive the existence criterion for classical bi-Hamiltonian systems, based on non-anomalous deformation of the gauge-fixing structure. The recursion operator is then used to provide the entire hierarchy of integrable models associated to the original BRST and anti-BRST charges.
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Taxonomy
TopicsNumerical methods for differential equations · Black Holes and Theoretical Physics · Nonlinear Waves and Solitons