Recently I was reading in Stephen B. Sontz' "Principal bundles - The quantum case" and in contrast to "the classical case" he offered almost no connections with physical concepts.

For quantum groups and algebras I know that there are links with modern TQFT constructions (such as in the work of Witten or Turaev-Viro). However for notions like Quantum Principal Bundles I could not find anything more than the papers of Durdevich (referenced by Sontz in his book) about the quantum versions of classical gauge theories.

Are there any other (well-)known applications of quantum principal bundles in the (mathematical-) physics literature or even in the mathematics literature?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.