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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The operators with large scaling dimensions can be labelled by Youngdiagrams. Among other bases, the operators using restricted Schur polynomialshave been known to have a large $N$ but nonplanar limit under which they map tostates of a system of harmonic oscillators. We analyze the oscillator algebraacting on pairs of long rows or long columns in the Young diagrams of theoperators. The oscillator algebra can be reached by a Inonu-Wigner contractionof the $u(2)$ algebra inside of the $u(p)$ algebra of $p$ giant gravitons. Wepresent evidences that integrability in this case can persist at higher loopsdue to the presence of the oscillator algebra which is expected to be robustunder loop corrections in the nonplanar large $N$ limit.

Relation between large dimension operators and oscillator algebra of Young diagrams