Quantum Geometry and Quiver Gauge Theories

Nikita Nekrasov, Vasily Pestun, Samson Shatashvili

Research output: Contribution to journalArticlepeer-review

52 Citations (Scopus)


We study macroscopically two dimensional N= (2 , 2) supersymmetric gauge theories constructed by compactifying the quiver gauge theories with eight supercharges on a product Td×Rϵ2 of a d-dimensional torus and a two dimensional cigar with Ω -deformation. We compute the universal part of the effective twisted superpotential. In doing so we establish the correspondence between the gauge theories and the Yangian Yϵ(gΓ) , quantum affine algebra Uqaff(gΓ), or the quantum elliptic algebra Uq,pell(gΓ) associated to Kac–Moody algebra gΓ for quiver Γ.

Original languageEnglish
Pages (from-to)519-567
Number of pages49
JournalCommunications in Mathematical Physics
Issue number2
Publication statusPublished - 1 Jan 2018
Externally publishedYes


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