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We consider a construction of observables by using methods of supersymmetricfield theories. In particular, we give an extension of AKSZ-type observablesusing the Batalin-Vilkovisky structure of AKSZ theories to a formal globalversion with methods of formal geometry. We will consider the case where theAKSZ theory is "split" which will give an explicit construction for formalvector fields on base and fiber within the formal global action. Moreover, weconsider the example of formal global generalized Wilson surface observableswhose expectation values are invariants of higher-dimensional knots by using$BF$ field theory. These constructions give rise to interesting global gaugeconditions such as the differential Quantum Master Equation and furtherextensions.

Formal Global AKSZ Gauge Observables and Generalized Wilson Surfaces