Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Volume Stabilization via $α^\prime$ Corrections in Type IIB Theory with Fluxes

Konstantin Bobkov

TL;DR

This work addresses stabilizing the volume modulus in Type IIB warped Calabi–Yau flux compactifications by coupling BBHL $(\alpha\prime)^3$ corrections to the Kähler potential with additional 7-brane/anti-7-brane pairs. The authors show that, for negative Euler characteristic $\chi({\cal M})<0$, the perturbative corrections plus brane tensions yield a large-volume, small-$g_s$ minimum, producing a landscape of metastable $AdS_4$, Minkowski, and $dS_4$ vacua with SUSY broken at the KK scale. This perturbative route to volume stabilization and de Sitter vacua offers an alternative to KKLT and addresses potential inflaton-mass issues in brane-antibrane inflation within warped geometries.

Abstract

We consider the Type IIB string theory in the presence of various extra $7/\bar 7$-brane pairs compactified on a warped Calabi-Yau threefold that admits a conifold singularity. We demonstrate that the volume modulus can be stabilized perturbatively at a non-supersymmetric $AdS_4/dS_4$ vacuum by the effective potential that includes the stringy $(α^\prime)^3$ correction obtained by Becker {\it et al.} together with a combination of positive tension and anomalous negative tension terms generated by the additional 7-brane-antibrane pairs.

Volume Stabilization via $α^\prime$ Corrections in Type IIB Theory with Fluxes

TL;DR

This work addresses stabilizing the volume modulus in Type IIB warped Calabi–Yau flux compactifications by coupling BBHL corrections to the Kähler potential with additional 7-brane/anti-7-brane pairs. The authors show that, for negative Euler characteristic , the perturbative corrections plus brane tensions yield a large-volume, small- minimum, producing a landscape of metastable , Minkowski, and vacua with SUSY broken at the KK scale. This perturbative route to volume stabilization and de Sitter vacua offers an alternative to KKLT and addresses potential inflaton-mass issues in brane-antibrane inflation within warped geometries.

Abstract

We consider the Type IIB string theory in the presence of various extra -brane pairs compactified on a warped Calabi-Yau threefold that admits a conifold singularity. We demonstrate that the volume modulus can be stabilized perturbatively at a non-supersymmetric vacuum by the effective potential that includes the stringy correction obtained by Becker {\it et al.} together with a combination of positive tension and anomalous negative tension terms generated by the additional 7-brane-antibrane pairs.

Paper Structure

This paper contains 6 sections, 32 equations, 4 figures.

Table of Contents

  1. Introduction
  2. Review of Type IIB warped compactifications with fluxes
  3. Volume stabilization and de Sitter space
  4. BBHL stringy corrections
  5. Volume modulus stabilization
  6. Conclusions

Figures (4)

  • Figure 1: Discriminant (\ref{['discrim']}) plotted as a function of volume for the set of parameter values chosen above. This plot demonstrates the excluded volume range where $\Delta <0$. The discriminant eventually again turns positive as we go to extremely large values of ${\cal V}$ which are not included in this plot.
  • Figure 2: Total effective potential plotted for the volume range where the discriminant $\Delta>0$. For our particular choice of flux and brane numbers, the volume is stabilized at a large value ${\cal V}_{min}\sim 3\times 10^4(\alpha^\prime)^3$ and the minimum is de Sitter, given by $V_{dS}\sim 2.4\times 10^{-12}$.
  • Figure 3: String coupling as a function of stabilized volume plotted in the range where $\Delta >0$.
  • Figure 4: Effective potential (\ref{['total']}) plotted as a function of string coupling and volume. The values that the volume and the string coupling can take are not restricted. The metastable de Sitter vacuum can be tuned to a desired value by discretely varying flux, topological and brane numbers.