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Coulomb branches of 3d N=4 gauge theories and motivic DT-invariants

Categorical Structures in Harmonic Analysis November 17, 2014 - November 21, 2014

November 18, 2014 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Hiraku Nakajima (Kavli Institute for the Physics and Mathematics of the Universe )
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



Cremonesi, Hanany and others recently compute Coulomb branch Hilbert series of 3-dimensional N=4 gauge theories, and write down explicit combinatorial expressions. I identify their expressions with certain motivic DT-type invariants, defined by moduli stack of bundles over the projective line together with their sections. In particular, characters of coordinate rings of many hyper-Kaehler manifolds (such as instanton moduli spaces on R^4) are conjecturally equal to those invariants.

22332?type=thumb Nakajima Notes 909 KB application/pdf Download
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