One physical problem with possible mathematical significance

A. M. Polyakov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We analyze three-dimensional gauge theory with Chern-Simons action, which arises in the context of high Tc superconductivity. We show that the main effect in this theory is the change of spin and statistics of charged particles. Also, the amplitudes of particle propagation acquire phases dependent on the topology of the knot formed by their trajectories. In the end, we discuss possible generalizations of this theory, and their relations to strings.

Original languageEnglish (US)
Pages (from-to)595-600
Number of pages6
JournalJournal of Geometry and Physics
Issue number4
StatePublished - 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


  • Chern-Simons action
  • knots
  • spin
  • statistic
  • super conductivity strings


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