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Geometric interpretation of the Poisson structure in affine Toda field theories

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arxiv q-alg/9606023 v2 pith:KQREYVP4 submitted 1996-06-27 q-alg hep-thmath.QA

Benjamin Enriquez , Edward Frenkel This is my paper · ORCID
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keywords poissontermsaffinebracketsfieldfieldshalflocal
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We express the Poisson brackets of local fields of the affine Toda field theories in terms of the Drinfeld-Sokolov dressing operator. For this, we introduce a larger space of fields, containing ``half screening charges'' and ``half integrals of motions''. In addition to local terms, the Poisson brackets contain nonlocal terms related to trigonometric r-matrices.

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  1. Poisson vertex algebras in supersymmetric field theories

    hep-th 2019-08 conditional novelty 6.0 of 10

    Local operators in topological-holomorphic sectors of N=2 supersymmetric theories form a d-shifted Poisson vertex algebra, whose classical limit reproduces known vertex algebras in the conformal case.

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