Deformations of spectral triples and their quantum isometry groups via monoidal equivalences

Abstract

In this paper, we propose a new procedure to deform spectral triples and their quantum isometry groups. The deformation data are a spectral triple (A, H, D), a compact quantum group G acting algebraically and by orientation-preserving isometries on (A, H, D) and a unitary fiber functor ψ on G. The deformation procedure is a proper generalization of the cocycle deformation of Goswami and Joardar.