Advances in Theoretical and Mathematical Physics

Volume 24 (2020)

Number 2

Chern–Simons theory on a general Seifert $3$-manifold

Pages: 279 – 304

DOI: https://dx.doi.org/10.4310/ATMP.2020.v24.n2.a2

Authors

Matthias Blau (Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Switzerland)

Kaniba Mady Keita (University of Science, Techniques and Technology (USTTB) of Bamako, Mali; and the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy)

K. S. Narain (Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy)

George Thompson (Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy)

Abstract

The path integral for the partition function of Chern–Simons gauge theory with a compact gauge group is evaluated on a general Seifert $3$-manifold. This extends previous results and relies on abelianisation, a background field method and local application of the Kawasaki Index theorem.

Full Text (PDF format)

The work of Matthias Blau is partially supported through the NCCR SwissMAP (The Mathematics of Physics) of the Swiss National Science Foundation. Keita Kaniba Mady would like to thank the Abdus Salam ICTP for the hospitality extended to him during his doctorate studies and the Ministry of Education of Mali for their financial support.

Published 10 July 2020