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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
Video

14095

Abstract

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.

Supplements
22332?type=thumb Nakajima Notes 909 KB application/pdf Download
Video/Audio Files

14095

H.264 Video 14095.mp4 324 MB video/mp4 rtsp://videos.msri.org/data/000/022/226/original/14095.mp4 Download
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