Induced Gravity on Intersecting Branes

TL;DR

This paper derives how Einstein-Hilbert gravity emerges in intersecting brane models by calculating one-loop graviton scattering amplitudes, providing explicit formulas linking the induced Planck mass to string partition functions.

Contribution

It introduces a general formula connecting the induced Planck mass in intersecting brane worlds to the string partition function, with explicit calculations for supersymmetric cases.

Findings

Derived a formula linking induced Planck mass to string partition function.

Computed explicit examples for N=1 supersymmetric backgrounds.

Established Einstein-Hilbert couplings in intersecting brane effective actions.

Abstract

We establish Einstein-Hilbert gravity couplings in the effective action for Intersecting Brane Worlds. The four-dimensional induced Planck mass is determined by calculating graviton scattering amplitudes at one-loop in the string perturbation expansion. We derive a general formula linking the induced Planck mass for N=1 supersymmetric backgrounds directly to the string partition function. We carry out the computation explicitly for simple examples, obtaining analytic expressions.