String-Like Lagrangians from a Generalized Geometry

TL;DR

This paper demonstrates how Hitchin's generalized geometry and a model of axionic gravity can naturally produce the low-energy Lagrangian of the bosonic string through a novel construction involving vector-dual pairings.

Contribution

It introduces a new approach linking generalized geometry and axionic gravity to derive string theory Lagrangians, bridging geometric and physical frameworks.

Findings

Derivation of bosonic string Lagrangian from generalized geometry

Connection between Hitchin's structures and string theory

Potential new methods for string theory formulations

Abstract

This note will use Hitchin's generalized geometry and a model of axionic gravity developed by Warren Siegel in the mid-nineties to show that the construction of Lagrangians based on the inner product arising from the pairing of a vector and its dual can lead naturally to the low-energy Lagrangian of the bosonic string.