Deforming, revolving and resolving—new paths in the string theory landscape

2007/10/31 by Diego Chialva, Ulf H. Danielsson, Ulf H Danielsson +3 · 15 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Maxima and minima #Moduli #Moduli space #Non-critical string theory #Quintic function #Series (stratigraphy) #String (physics) #String field theory #String theory #hep-th #math.AG #math.DG

paper · pdf · doi:10.1088/1126-6708/2008/02/016

published in Journal of High Energy Physics 2008(02), 016 (Springer Nature) · 41 pages, 5 figures; minor corrections, published version

openalex publication_date 2008/02/06 · arxiv created 2008/05/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper we investigate the properties of series of vacua in the string theory landscape. In particular, we study minima to the flux potential in type IIB compactifications on the mirror quintic. Using geometric transitions, we embed its one dimensional complex structure moduli space in that of another Calabi-Yau with h^1,1=86 and h^2,1=2. We then show how to construct infinite series of continuously connected minima to the mirror quintic potential by moving into this larger moduli space, applying its monodromies, and moving back. We provide an example of such series, and discuss their implications for the string theory landscape.

Citations

• Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections
• Vacuum configurations for superstrings
• Islands in the landscape
• Scales and hierarchies in warped compactifications and brane worlds
• Rolling among Calabi-Yau vacua
• A no-go theorem for string warped compactifications
• Black hole condensation and the unification of string vacua
• Split attractor flows and the spectrum of BPS D-branes on the quintic
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
• The fate of four dimensions
• de Sitter vacua in string theory
• Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities
• Funnels, pathways, and the energy landscape of protein folding: A synthesis
• SUPERGRAVITY DESCRIPTION OF FIELD THEORIES ON CURVED MANIFOLDS AND A NO GO THEOREM