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

This paper studies a special class of states for the dual conformal fieldtheories associated with supersymmetric $AdS_5\times X$ compactifications,where $X$ is a Sasaki-Einstein manifold with additional $U(1)$ symmetries.Under appropriate circumstances, it is found that elements of the chiral ringthat maximize the additional $U(1)$ charge at fixed R-charge are in one to onecorrespondence with multitraces of a single composite field. This is alsoequivalent to Schur functions of the composite field. It is argued that in theformal zero coupling limit that these dual field theories have, the differentSchur functions are orthogonal. Together with large $N$ counting arguments, onepredicts that various extremal three point functions are identical to those of${\cal N}=4 $ SYM, except for a single normalization factor, which can beargued to be related to the R-charge of the composite word. The leading andsubleading terms in $1/N$ are consistent with a system of free fermions for ageneralized oscillator algebra. One can further test this conjecture byconstructing coherent states for the generalized oscillator algebra that can beinterpreted as branes exploring a subset of the moduli space of the fieldtheory and use these to compute the effective K\"ahler potential on this subsetof the moduli space.

Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra