Comparing Poisson Sigma Model with A-model
Francesco Bonechi, Alberto S. Cattaneo, Riccardo Iraso

TL;DR
This paper explores the relationship between the Poisson Sigma Model and the A-model, showing how the A-model can be derived as a gauge fixing of the PSM and analyzing its supersymmetry properties.
Contribution
It demonstrates how to recover the A-model observables from the Poisson Sigma Model and discusses the off-shell supersymmetry as a residual BV symmetry.
Findings
A-model as gauge fixing of PSM with symplectic target
Recovery of A-model observables from AKSZ framework
Off-shell supersymmetry as residual BV symmetry
Abstract
We discuss the A-model as a gauge fixing of the Poisson Sigma Model with target a symplectic structure. We complete the discussion in [arXiv:0706.3164], where a gauge fixing defined by a compatible complex structure was introduced, by showing how to recover the A-model hierarchy of observables in terms of the AKSZ observables. Moreover, we discuss the off-shell supersymmetry of the A-model as a residual BV symmetry of the gauge-fixed PSM action.
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