BPS/CFT correspondence: non-perturbative dyson-schwinger equations and qq-characters

Nikita Nekrasov

Research output: Contribution to journalArticlepeer-review

116 Citations (Scopus)


We study symmetries of quantum field theories involving topologically distinct sectors of the field space. To exhibit these symmetries we define special gauge invariant observables, which we call the qq-characters. In the context of the BPS/CFT correspondence, using these observables, we derive an infinite set of Dyson-Schwinger-type relations. These relations imply that the supersymmetric partition functions in the presence of Ω-deformation and defects obey the Ward identities of two dimensional conformal field theory and its q-deformations. The details will be discussed in the companion papers.

Original languageEnglish
Article number181
JournalJournal of High Energy Physics
Issue number3
Publication statusPublished - 2016
Externally publishedYes


  • D-branes
  • Nonperturbative effects
  • Quantum groups
  • Supersymmetric gauge theory


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