Gauge Theories

Abstract

In Sect. 4.3 we sawn that the space of multilocal on-shell functionals FS(M) can be characterized as the 0th homology of the differential complex (Λ V, δS) (see 4.10 ). The 1st homology of this complex is interpreted as the space of non-trivial local symmetries. Now we discuss the quantization of theories where this homology group is non-trivial, using the BV framework, in the version proposed in (Fredenhagen and Rejzner, Communications in Mathematical Physics, 314(1):93–127, 2012 and Fredenhagen and Rejzner, Communications in Mathematical Physics, 317(3):697–725, 2012 [FR12b, FR12a]).