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(21.12.) Analytically continued Chern-Simons theory on plumbed 3-manifolds
Pavel Putrov (ICTP Trieste)
21.12.2023 at 16:15
I will present a "finite-dimensional model" for analytically continued Chern-Simons theory on closed 3-manifolds that are described by plumbing trees. This model provides an efficient description of Stokes phenomenon for perturbative expansions in Chern-Simons theory around classical solutions -- flat connections. The Stokes constants can be also categorified, i.e. promoted to graded vector spaces, in terms of this finite-dimensional model. At least naively, the categorification provides counting of BPS states in 5d maximally supersymmetric Yang-Mills theory on the 3-manifold times a line. I will also comment on necessity of considering certain "flat connections at infinity" in the description of Stokes phenomenon. The talk is based on an upcoming joint work with Sergei Gukov.
Arnold Sommerfeld Center Theresienstrasse 37
Room 348 via ZOOM