A bstract It has been suggested in arXiv:2004.00613 that Dp-brane holography, entanglement the target space of D-brane Yang-Mills theory provides a precise notion bulk gravity dual. We expand on this discussion by providing gauge invariant characterization operator sub-algebras corresponding to such entanglement. This is achieved finding projection which imposes constraint characterizing region...

A quantization method of a gauge theory on a canonical noncommutative space is presented utilizing the path integral formalism. As tools to quantize, we construct the Dixmier trace that is the special trace for the infinite-dimensional matrices and the Dirac operator which behaves as a line element of the noncommutative space. We refer to a suggestion of solving the cosmological constant proble...

The chiral anomaly can be considered as an object defined either on the space of gauge potentials or on the orbit space. We will discuss the relation between the two descriptions. We will also relate to the cohomology of the group of gauge transformations.

We consider in this paper gauge transformations on locally trivial quantum principal fibre bundles (QPFB). If P , B, H , are the algebras of the total space, the base space, the structure group of the bundle, left (right) gauge transformations are defined as automorphisms of the left (right) B-module P which are adapted to the coaction of the Hopf algebra H and to the covering related to the lo...