Seminar M. Larfors

M. Larfors
Restrictions on infinite sequences of type IIB vacua

Flux compactifications of type IIB string theory on conformal Calabi-Yau (CY) manifolds give rise to a landscape of four-dimensional vacua. Using monodromy transformations of the CY periods, it has been shown that some of these vacua form  long, continuously connected sequences. The continuous potential barriers between such  vacua allow explicit constructions of domain walls and tunneling instantons in the string landscape.

In this talk, we will focus on the finiteness of these vacuum sequences. Restricting to vacua with imaginary self-dual (ISD) flux, Ashok and Douglas have shown that infinite series of vacua can only occur near singular points in the Calabi-Yau moduli space. Recently, results by Ahlqvist et. al. indicated that monodromy-connected ISD vacua on one-parameter CY manifolds tend to accumulate near such singularities, opening up for infinite series. However, by refining the no-go result of Ashok and Douglas, we prove that these sequences are necessarily finite. Our proof complements and confirms results on the finiteness of the type IIB landscape based on  statistical methods.

Tuesday, November 1, 2011 - 12:30 - 13:30