English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $\mathfrak{g}$ be a simple Lie algebra. We study 1/2-BPS Wilson loops ofsupersymmetric 5d $\mathfrak{g}$-type quiver gauge theories on a circle, in anon-trivial instanton background. The Wilson loops are codimension 4 defects ofthe gauge theory, and their interaction with self-dual instantons is capturedby a modified 1d ADHM quantum mechanics. We compute the partition function asits Witten index. This index is a "$qq$-character" of a finite-dimensionalirreducible representation of the quantum affine algebra$U_q(\hat{\mathfrak{g}})$. Using gauge/vortex duality, we can understand the 5dphysics in 3d gauge theory terms. Namely, we reinterpret the 5d theory withvortex flux from the point of view of the vortices themselves. This vortexperspective has an advantage: it has yet another dual description in terms ofdeformed $\mathfrak{g}$-type Toda Theory on a cylinder, in free fieldformalism. We show that the gauge theory partition function is equal to achiral correlator of the deformed Toda Theory, with stress tensor and higherspin operator insertions. We derive all the above results from type IIB stringtheory, compactified on a resolved $ADE$ singularity times a cylinder withpunctures, with various branes wrapping the blown-up 2-cycles.

Supersymmetric Wilson Loops, Instantons, and Deformed ${\cal W}$-Algebras