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Current Algebras from DG Symplectic Pair...
Ikeda, Noriaki...
Current Algebras from DG Symplectic Pairs in Supergeometry by Ikeda, Noriaki ( Author )
Australian National University
25-08-2023
We propose a new unified formulation of the current algebra theory in terms of supergeometry. We take a QP-structure, i.e. a differential graded symplectic structure, on a graded cotangent bundle as a fundamental framework. A Poisson bracket in a current algebra is constructed by the so called derived bracket of the graded Poisson structure induced from the above symplectic structure. By taking a canonical transformation on a QP-manifold, correct anomalous terms in physical theories are derived. A large class of current algebras with and without anomalous terms are constructed from this structure. Moreover, a new class of current algebras related higher structures are obtained systematically.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1308.0100
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