Communications in Mathematical Physics

, Volume 372, Issue 1, pp 213–260 | Cite as

Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary

  • Alberto S. CattaneoEmail author
  • Nima Moshayedi
  • Konstantin Wernli


We describe a covariant framework to construct a globalized version for the perturbative quantization of nonlinear split AKSZ Sigma Models on manifolds with and without boundary, and show that it captures the change of the quantum state as one changes the constant map around which one perturbs. This is done by using concepts of formal geometry. Moreover, we show that the globalized quantum state can be interpreted as a closed section with respect to an operator that squares to zero. This condition is a generalization of the modified Quantum Master Equation as in the BV-BFV formalism, which we call the modified “differential” Quantum Master Equation.



We thank I. Contreras for helpful comments. Moreover, we want to thank the referee for very important and helpful comments.


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Authors and Affiliations

  1. 1.Institut für MathematikUniversität ZürichZurichSwitzerland

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