We show that the effective potential of the chirally symmetric phase is lower than that in the symmetry broken phase, i.e, there is no spontaneous chiral symmetry breaking for cascading gauge theory in dS4. Furthermore, this charge is zero in the phase with spontaneously broken chiral symmetry. We find that in the phase with unbroken chiral symmetry the D3 charge at the tip is always positive. Such geometries represent holographic dual of cascading gauge theory in dS4 with or without chiral symmetry breaking. We discuss a restrictive set of such geometries, where anti-D3 branes are smeared at the tip. A local geometry of such vacua exhibit gravitational solutions with a D3 charge measured at the tip opposite to the asymptotic charge. Galante Download PDF Abstract:Placing anti-D3 branes at the tip of the conifold in Klebanov-Strassler geometry provides a generic way of constructing meta-stable de Sitter (dS) vacua in String Theory.
Download a PDF of the paper titled Cascading gauge theory on dS_4 and String Theory Landscape, by Alex Buchel and Damian A.
