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

Linear quiver ${\cal N}=1$ 5d gauge theory in $\Omega$ background isconsidered. It is shown that under certain restrictions on the VEV's of theadjoint scalar field corresponding to the first node, only the array of Youngdiagrams, such that the first diagram is a single column and the others areempty, contribute to the partition function. Furthermore it is proved that thispartition function in a simple way is related to the expectation values ofBaxter's $Q$ operator (at specific discrete values of the spectral parameter)in the gauge theory with the special node removed. Using known expression ofthe partition function in the $U(1)$ quiver, Baxter's T-Q difference equationsare established and explicit expressions for the VEV of the $Q$ operator interms of generalized q-deformed Appel's functions is found. Finally thecorresponding expressions for the 4d limit are derived.

VEV of $Q$-operator in $U(1)$ linear quiver 5d gauge theories