TL;DR
This paper introduces a new multi-parameter family of boundary Poisson brackets that satisfy the Jacobi identity, extending known cases and enriching the mathematical framework for boundary conditions in physics.
Contribution
It presents a novel continuous family of ultra-local boundary Poisson brackets encompassing previously known special cases.
Findings
Introduces a d-parameter family of boundary Poisson brackets.
Includes known boundary Poisson brackets as special cases.
Ensures all brackets satisfy the Jacobi identity.
Abstract
We find a new d-parameter family of ultra-local boundary Poisson brackets that satisfy the Jacobi identity. The two already known cases (hep-th/9305133, hep-th/9806249 and hep-th/9901112) of ultra-local boundary Poisson brackets are included in this new continuous family as special cases.
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