TY - JOUR
T1 - Three-dimensional = 2 supersymmetric gauge theories and partition functions on Seifert manifolds: A review
AU - Closset, C.
AU - Kim, H.
PY - 2019
Y1 - 2019
N2 - We give a pedagogical introduction to the study of supersymmetric partition functions of 3D N=2 supersymmetric Chern–Simons-matter theories (with an R-symmetry) on half-BPS closed three-manifolds — including S3, S2×S1, and any Seifert three-manifold. Three-dimensional gauge theories can flow to nontrivial fixed points in the infrared. In the presence of 3D N=2 supersymmetry, many exact results are known about the strongly-coupled infrared, due in good part to powerful localization techniques. We review some of these techniques and emphasize some more recent developments, which provide a simple and comprehensive formalism for the exact computation of half-BPS observables on closed three-manifolds (partition functions and correlation functions of line operators). Along the way, we also review simple examples of 3D infrared dualities. The computation of supersymmetric partition functions provides exceedingly precise tests of these dualities.
AB - We give a pedagogical introduction to the study of supersymmetric partition functions of 3D N=2 supersymmetric Chern–Simons-matter theories (with an R-symmetry) on half-BPS closed three-manifolds — including S3, S2×S1, and any Seifert three-manifold. Three-dimensional gauge theories can flow to nontrivial fixed points in the infrared. In the presence of 3D N=2 supersymmetry, many exact results are known about the strongly-coupled infrared, due in good part to powerful localization techniques. We review some of these techniques and emphasize some more recent developments, which provide a simple and comprehensive formalism for the exact computation of half-BPS observables on closed three-manifolds (partition functions and correlation functions of line operators). Along the way, we also review simple examples of 3D infrared dualities. The computation of supersymmetric partition functions provides exceedingly precise tests of these dualities.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85071074200&partnerID=MN8TOARS
U2 - 10.1142/S0217751X19300114
DO - 10.1142/S0217751X19300114
M3 - Article
SN - 0217-751X
VL - 34
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
IS - 23
M1 - 1930011
ER -