Year: 2013
Type: article
Abstract: We present a conjecture on the complete spectrum of single-trace operators in the infinite $N$ limit of ${W}_{N}$ minimal model and evidence for the conjecture. We further propose that the holographic dual of ${W}_{N}$ minimal model in the 't Hooft limit is an unusual ``semilocal'' higher spin gauge theory on ${\mathrm{AdS}}_{3}\ifmmode\times\else\texttimes\fi{}{S}^{1}$. At each point on the ${S}^{1}$ lives a copy of three-dimensional Vasiliev theory, that contains an infinite tower of higher spin gauge fields coupled to a single massive complex scalar propagating in ${\mathrm{AdS}}_{3}$. The Vasiliev theories at different points on the ${S}^{1}$ are correlated only through the ${\mathrm{AdS}}_{3}$ boundary conditions on the massive scalars. All but one single tower of higher spin symmetries are broken by the boundary conditions.
Authors: Chi-Ming Chang, Xi Yin
Institution: Harvard University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2089652499