3d N=2 gauge theories, Seifert geometry and fibering operators
APA
Closset, C. (2019). 3d N=2 gauge theories, Seifert geometry and fibering operators. Perimeter Institute. https://pirsa.org/19030121
MLA
Closset, Cyril. 3d N=2 gauge theories, Seifert geometry and fibering operators. Perimeter Institute, Mar. 26, 2019, https://pirsa.org/19030121
BibTex
@misc{ pirsa_PIRSA:19030121, doi = {10.48660/19030121}, url = {https://pirsa.org/19030121}, author = {Closset, Cyril}, keywords = {Quantum Fields and Strings}, language = {en}, title = {3d N=2 gauge theories, Seifert geometry and fibering operators}, publisher = {Perimeter Institute}, year = {2019}, month = {mar}, note = {PIRSA:19030121 see, \url{https://pirsa.org}} }
I will give an overview of recent results on three-dimensional N=2 supersymmetric gauge theories placed on arbitrary half-BPS geometries. In particular, I will explain an explicit computation of the supersymmetric partition function on any Seifert three-manifold; such manifolds can have very intricate and interesting topology (for instance, a nice example is the Poincaré sphere) and can provide new interesting observables in 3d SCFTs. I will also discuss to which extent these results exhibit a generalisation of the 3d TQFT structure of Chern-Simons theory to non-topological (but supersymmetric) theories.