AdS4 flux vacua in type II superstrings and their domain-wall solutions

TL;DR

This paper explores supersymmetric AdS4 flux vacua in type II superstring theory, analyzing their stability, sources, and domain-wall solutions, with implications for understanding negative vacuum energy states.

Contribution

It provides a detailed analysis of AdS4 flux vacua in type IIA superstrings, including the role of fluxes, sources, and the construction of domain-wall solutions.

Findings

Supersymmetric AdS4 vacua with stabilized moduli are achievable with specific flux configurations.

Solutions satisfy all consistency conditions with appropriate sources and tadpole cancellation.

Domain walls interpolate between AdS4 and flat spacetime, consistent with supergravity equations.

Abstract

We investigate the emergence of supersymmetric negative-vacuum-energy ground states in four dimensions. First, we rely on the analysis of the effective superpotential, which depends on the background fluxes of the internal manifold, or equivalently has its origin in the underlying gauged supergravity. Four-dimensional, supersymmetric anti-de Sitter vacua with all moduli stabilized appear when appropriate Ramond and Neveu--Schwarz fluxes are introduced in IIA. Geometric fluxes are not necessary. Then the whole setup is analyzed from the perspective of the sources, namely D/NS-branes or Kaluza--Klein monopoles. Orientifold planes are also required for tadpole cancellation. The solutions found in four dimensions correspond to domain walls interpolating between AdS4 and flat spacetime. The various consistency conditions (equations of motion, Bianchi identities and tadpole cancellation conditions) are always satisfied, albeit with source terms. We also speculate on the possibility of assigning (formal) entropies to AdS4 flux vacua via the corresponding dual brane systems.