Flux vacua as supersymmetric attractors

TL;DR

This paper derives algebraic attractor equations for supersymmetric flux vacua in type IIB string theory, linking flux configurations to moduli stabilization similarly to black hole attractors.

Contribution

It introduces a novel set of algebraic equations connecting fluxes and moduli in flux vacua, inspired by black hole attractor mechanisms.

Findings

Derived algebraic attractor equations for flux vacua.

Established analogy between flux vacua and black hole attractors.

Provided a framework for moduli stabilization in string compactifications.

Abstract

We derive algebraic attractor equations describing supersymmetric flux vacua of type IIB string theory in terms of the doublet of the 3-form fluxes, F and H. These equations are similar to the attractor equations for moduli fixed by the charges near the horizon of the supersymmetric black holes.