Spin Chern-Simons and Spin TQFTs

Details Spin Chern-Simons and Spin TQFTs Spin Chern-Simons and Spin TQFTs

2006-05-09

arxiv.org/abs/math/0605239v1

Mathematics

Differential Geometry

Scientific paper

In a previous paper we constructed classical spin Chern-Simons for any compact Lie group $G$: a gauge theory whose action depends on the spin structure of the 3-manifold. Here we apply geometric quantization to the classical Hamiltonian theory and investigate the formal properties of the partition function in the Lagrangian theory, all in the case $G = SO_3$. We find that the quantum theory for $SO_3$ spin Chern-Simons corresponds to the spin TQFT constructed by Blanchet and Masbaum in the same way that the quantum theory for standard $SU_2$ Chern-Simons corresponds to the TQFT constructed by Reshetikhen and Turaev or the TQFT constructed by Blanchet, Habegger, Masbaum, and Vogel.

Affiliated with

Also associated with

No associations

Rating

Spin Chern-Simons and Spin TQFTs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spin Chern-Simons and Spin TQFTs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin Chern-Simons and Spin TQFTs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-675818