Embedding Branes in Flat Two-time Spaces

TL;DR

This paper presents a method to derive various p-brane theories from simple embedding constraints in higher-dimensional flat spaces with two time dimensions, providing a unified geometric framework.

Contribution

It introduces a novel embedding approach for non-near horizon, non-dilatonic p-branes using flat spaces with two time directions, including explicit constructions for D3, M2, and M5 branes.

Findings

Constructed D3 branes from 12D flat space

Derived M2 and M5 branes from 13D flat space

Formulated worldvolume actions with embedding constraints

Abstract

We show how non-near horizon, non-dilatonic $p$-brane theories can be obtained from two embedding constraints in a flat higher dimensional space with 2 time directions. In particular this includes the construction of D3 branes from a flat 12-dimensional action, and M2 and M5 branes from 13 dimensions. The worldvolume actions are found in terms of fields defined in the embedding space, with the constraints enforced by Lagrange multipliers.