2015/12/31 by Nikita Nekrasov · 3 citations
Physics and Astronomy · Mathematics · #hep-th #math.AC #math.AG #math.QA #math.RT
paper · pdf · doi:10.1007/jhep03(2016)181
73 pages, paper 1 of a series of 5; two refs corrected
arxiv created 2016/01/02 · arxiv updated 2016/04/20
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.