Sakai-Sugimoto model in D0-D4 background

Abstract

We add smeared D0 charges to the D4 background and discuss the Sakai-Sugimoto model under this background. The corresponding gauge theory is in a state with an expectation value of $⟨\mathrm{tr}({F}_{\ensuremath{\mu}\ensuremath{\nu}}{\stackrel{\texttildelow{}}{F}}^{\ensuremath{\mu}\ensuremath{\nu}})⟩$. The D8-branes go less deep than in the original S-S model and massless Goldstones are still found in the spectrum. The effects of this condensate on the meson spectra, pion decay constant, and couplings of the vector mesons and Goldstones in this background state are then investigated.