Relations between M-brane and D-brane quantum geometries

TL;DR

This paper explores the relationship between M-brane and D-brane quantum geometries by analyzing their compactification and reduction, focusing on systems involving M2-branes, M5-branes, D1-branes, and D3-branes.

Contribution

It provides a direct connection between M-brane and D-brane quantum geometries through compactification and reduction of specific brane systems.

Findings

Relation established between M-brane and D-brane quantum geometries

Equations for quantum geometries are connected via compactification

Insights into how M2-branes and M5-branes relate to D-branes

Abstract

This paper investigates M-brane quantum geometry (and its representation by equations involving the 3-bracket) by looking at the compactification of an M-brane system to a D-brane system. Particularly of interest is the system where coincident M2-branes end at an angle on an M5-brane, and its reduction to D1- or F1-branes ending on a D3-brane. Since equations for the quantum geometries of both of these systems are known, the paper will attempt to directly relate them via a compactification.