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. A local geometry of such vacua exhibit gravitational solutions with a D3 charge measured at the tip opposite to the asymptotic charge. We discuss a restrictive set of such geometries, where anti-D3 branes are smeared at the tip. Such geometries represent holographic dual of cascading gauge theory in dS4 with or without chiral symmetry breaking. We find that in the phase with unbroken chiral symmetry the D3 charge at the tip is always positive. Furthermore, this charge is zero in the phase with spontaneously broken chiral symmetry. 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. The positivity of the D3 brane charge in smooth de-Sitter deformed conifold geometries with fluxes presents difficulties in uplifting AdS vacua to dS ones in String Theory via smeared anti-D3 branes.
Highlights
Introduction and summaryString Theory is expected to have a landscape of de-Sitter vacua [1]
Including non-perturbative effects, one obtains anti-de Sitter (AdS4) vacua with all moduli fixed;
In [4,5,6,7] it was argued that putting anti-D3 branes at the tip of the Klebanov– Strassler (KS) [8] geometry leads to a naked singularity
Summary
String Theory is expected to have a landscape of (meta-stable) de-Sitter vacua [1]. A generic way to construct such vacua was presented in [2] (KKLT):. This conclusion is reached analyzing local Klebanov–Tseytlin (KT) [12] or KS geometry with regular Schwarzschild horizon Such geometry is dual to strongly coupled cascading gauge theory plasma with unbroken [13,14,15,16,17] (in KT case) or broken [18] (in KS case) chiral symmetry. In this paper we extend analysis of [10] considering de Sitter deformation of the KT/KS geometries (holographically dual to cascading gauge theory in dS4 with unbroken/broken chiral symmetry). Using results of [21], we compute the D3 charge in the interior of the bulk of S3 deformed KT/KS geometries — in this last section we use the radius of the three-sphere 3 as an infrared cutoff to distinguish good versus bad gravitational singularities.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
