Tachyon Tube on non BPS D-branes

TL;DR

This paper investigates the existence and properties of tubular tachyon solutions on non BPS D3-branes, finding regular solutions with specific energy characteristics and stability, consistent with BPS D2-branes.

Contribution

It demonstrates the existence of regular tubular tachyon solutions using the Minahan-Zwiebach action and analyzes their stability and energy properties.

Findings

Regular tube solutions found with elliptic cross sections.

Energy from D0-branes and strings, tension energy vanishes.

Fluctuation spectrum is free of tachyonic modes.

Abstract

We report our searches for a single tubular tachyonic solution of regular profile on unstable non BPS D3-branes. We first show that some extended Dirac-Born-Infeld tachyon actions in which new contributions are added to avoid the Derrick's no-go theorem still could not have a single regular tube solution. Next we use the Minahan-Zwiebach tachyon action to find the regular tube solutions with circular or elliptic cross section. With a critical electric field, the energy of the tube comes entirely from the D0 and strings, while the energy associated to the tubular D2-brane tension is vanishing. We also show that fluctuation spectrum around the tube solution does not contain tachyonic mode. The results are consistent with the identification of the tubular configuration as a BPS D2-brane.