Isometric Embedding of BPS Branes in Flat Spaces with Two Times

TL;DR

This paper presents a method to embed p-brane theories into higher-dimensional flat spaces with two time dimensions, providing new insights into their global geometry and connections to two-time physics.

Contribution

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

Findings

Constructed D3 branes from 12-dimensional flat space.

Derived M2 and M5 branes from 13-dimensional space.

Provided a framework linking brane theories with two-time physics.

Abstract

We show how non-near horizon 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 determined by constant forms in the higher dimension, reduced to the usual expressions by Lagrange multipliers. The formulation affords insight in the global aspects of the spacetime geometries and makes contact with recent work on two-time physics.