Recently, the notion of circuit complexity defined in symmetry group manifolds has been related to geometric actions which generally arise coadjoint orbit method representation theory and play an important role quantization. On other hand, it is known that there exists a precise relation between Berry phases representations. Motivated by these connections, we elaborate on theoretic phase. As si...

A bstract When a quantum field theory is trivially gapped, its infrared fixed point an invertible theory. The partition function of the records response to various background fields in long-distance limit. set can include spacetime-dependent coupling constants, which case we call corresponding parameterized We study such theories arising from free Dirac fermions with mass parameters using Atiya...