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Cluster-like coordinates in supersymmetric quantum field theory.

Abstract：

:Recently it has become apparent that N = 2 supersymmetric quantum field theory has something to do with cluster algebras. I review one aspect of the connection: supersymmetric quantum field theories have associated hyperkähler moduli spaces, and these moduli spaces carry a structure that looks like an extension of the notion of cluster variety. In particular, one encounters the usual variables and mutations of the cluster story, along with more exotic extra variables and generalized mutations. I focus on a class of examples where the underlying cluster varieties are moduli spaces of flat connections on surfaces, as considered by Fock and Goncharov [Fock V, Goncharov A (2006) Publ Math Inst Hautes Études Sci 103:1-211]. The work reviewed here is largely joint with Davide Gaiotto and Greg Moore.

journal_name

Proc Natl Acad Sci U S A

journal_title

Proceedings of the National Academy of Sciences of the United States of America

authors

Neitzke A

doi

10.1073/pnas.1313073111

subject

Has Abstract

pub_date

2014-07-08 00:00:00

pages

9717-24

issue

27

eissn

0027-8424

issn

1091-6490

pii

1313073111

journal_volume

111

pub_type

杂志文章

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