Elliptic supertube and a Bogomol'nyi-Prasad-Sommerfield D2-brane--anti-D2-brane Pair

TL;DR

This paper presents an exact supersymmetric solution of an elliptic D2-brane connecting a D2-brane and an anti-D2-brane, revealing a novel configuration involving D0 charge and superstrings, with implications for brane dynamics.

Contribution

It introduces a new exact BPS solution of a D2-brane-anti-D2-brane pair connected by an elliptic tube, not derivable from previous inhomogeneous superstring configurations.

Findings

Preserves one quarter of supersymmetry.

Cannot be obtained by blowing-up from D0-charged superstrings.

Includes charge corrections in magnetic backgrounds.

Abstract

An exact solution, in which a D2-brane and an anti-D2-brane are connected by an elliptically tubular D2-brane, is obtained without any junction condition. The solution is shown to preserve one quarter of the supersymmetries of the type-IIA Minkowski vacuum. We show that the configuration cannot be obtained by "blowing-up" from some inhomogeneously D0-charged superstrings. The BPS bound tells us that it is rather composed of D0-charged D2-brane-anti-D2-brane pair and a strip of superstrings connecting them. We obtain the correction to the charges of the string end points in the constant magnetic background.