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Boundary conditions and symplectic duality in 3d N=4 theories
Mathematical Physics Seminar| Speaker: | Tudor Dimofte, The Institute for Advanced Study, Princeton |
| Location: | 2112 MSB |
| Start time: | Fri, Dec 12 2014, 4:10PM |
A 3d N=4 gauge theory has a moduli space consisting of (at least) two hyperkahler cones, the so-called Higgs and Coulomb branches. I will discuss a new construction of the Coulomb branch as a complex symplectic manifold. Then I will introduce a class of BPS boundary conditions in 3d N=4 gauge theory whose images on the Higgs and Coulomb branches define holomorphic Lagrangian branes. The correspondence between the Higgs and Coulomb branes begins to explain a recently discovered "symplectic duality" of complex symplectic manifolds in mathematics.
There will be a dinner in honor of the speaker.