Calibrations on spaces with GxG-structure

TL;DR

This paper introduces spaces with GxG-structure and their submanifolds, generalizing calibrations, with applications to string theory and D-branes in flux backgrounds.

Contribution

It provides an introduction to GxG-structured spaces and their submanifolds, extending classical calibration concepts relevant to string theory.

Findings

Generalization of calibrated submanifolds to GxG-structured spaces

Relevance to D-branes in flux compactifications

Framework for studying string backgrounds with fluxes

Abstract

In these notes we give an introduction to the concept of spaces with GxG-structure and their structured submanifolds. These objects generalise the classical notion of a calibrated submanifold. Therefore, they are interesting from a string theory viewpoint as they are relevant to describe D-branes in string compactifications on backgrounds with fluxes.