• Corpus ID: 118359613

Vector fields on mapping spaces and a converse to the AKSZ construction

  title={Vector fields on mapping spaces and a converse to the AKSZ construction},
  author={Theodore Th. Voronov},
  journal={arXiv: Mathematical Physics},
  • T. Voronov
  • Published 1 November 2012
  • Mathematics
  • arXiv: Mathematical Physics
The well-known AKSZ construction (for Alexandrov--Kontsevich--Schwarz--Zaboronsky) gives an odd symplectic structure on a space of maps together with a functional $S$ that is automatically a solution for the classical master equation $(S,S)=0$. The input data required for the AKSZ construction consist of a volume element on the source space and a symplectic structure of suitable parity on the target space, both invariant under given homological vector fields on the source and target. In this… 
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