Cascading gauge theory on dS_4 and String Theory Landscape

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.

47 pages, 6 figures. v2: published version. arXiv admin note: substantial text overlap with arXiv:1108.6070

References in corpus (5)

• The black hole in the throat - thermodynamics of strongly coupled cascading gauge theories
• Anti-D3's - Singular to the Bitter End
• On gravity dual of a metastable vacuum in Klebanov-Strassler theory
• Horizons cannot save the Landscape
• Hydrodynamics of the cascading plasma

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• de Sitter Vacua of Strongly Interacting QFT
• Entanglement entropy of $\mathcal{N}=2^{\ast }$ de Sitter vacuum
• $\chi \mathrm{SB}$ of cascading gauge theory in de Sitter
• De Sitter Space in Gauge/Gravity Duality
• Throat destabilization (for profit and for fun)
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• Effective Action of the Baryonic Branch in String Theory Flux Throats
• Localised anti-branes in non-compact throats at zero and finite T
• Stability of the cascading gauge theory de Sitter DFPs