BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters

Abstract

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.

Adinkras from ordered quartets of BC4 Coxeter group elements and regarding 1,358,954,496 matrix elements of the Gadget

“…The second comment relates to results by Nekrasov [50, [52][53][54][55][56]. In the first of these, it is noted that the tetrahedral angle arccos (−1/3) can be uncovered by looking at YangMills gauge theories in various dimensions in the presence of a supergravity background.…”

BPS/CFT Correspondence III: Gauge Origami Partition Function and qq-Characters

“…In the crossed case, N A N B = 0, A ∩ B = ∅, this operator is the qq-character of the A 0 -type [Ne2]. In the orbifolded crossed case this operator is the qq-character of the g γ -type.…”

“…This paper is a continuation of the series [Ne2,Ne3]. There we proposed a set of observables in quiver N = 2 supersymmetric gauge theories.…”

A note on chiral trace relations from qq-characters

“…Inspires by the derivation of the classical chiral ring relations using the characteristic polynomial of Φ, we consider the Y-observable [29],…”