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Twistor construction of Coulomb branches

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TWT - Twistor theory

There has been considerable interest in Coulomb branches, i.e. (singular)hyperkaehler manifolds which arise as certain irreducible components of moduli spacesof vacua in N=4 supersymmetric quantum gauge theories. For a restricted class of theories,Coulomb branches have been rigourously constructed, as affine Poisson varieties,by Braverman, Finkelberg, and Nakajima. This construction has been subsequentlyextended to a more general class of theories by several authors. In my talk I shallpresent an alternative construction, which, in addition to being simpler, yields the fullhyperkaehler structure of Coulomb branches. This is joint work with Lorenzo Foscolo.

This talk is part of the Isaac Newton Institute Seminar Series series.

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