Mass spectrum in AdS$_4\times U(1)\setminus U(3)/U(1) $ compactification using harmonic analysis

Abstract

In this paper we present the Kaluza-Klein mass spectrum of 0-form and 1-form fields that appear in AdS$_4\times B_7$ compactification of $d=11$ supergravity, where, $B_7=U(1)\setminus U(3)/ U(1)$. This theory belongs to the class of gravity duals to three dimensional quiver Chern-Simons matter theories as demonstrated by D.L Jafferis and A. Tomasiello in \cite{jaff}