Phase Moduli Space of Supertubes
Dongsu Bak, Yoshifumi Hyakutake, Nobuyoshi Ohta

TL;DR
This paper investigates the deformation space of BPS supertubes, revealing the absence of flat directions for certain configurations and the existence of infinite flat deformations for others, under specific conditions.
Contribution
It characterizes the moduli space of supertube deformations, identifying conditions for flat directions and demonstrating the existence of infinitely many deformations for general shapes.
Findings
No flat directions for circular closed supertubes with uniform fields.
No flat directions for open planar supertubes.
Infinite flat deformations exist for supertubes of general shape under certain conditions.
Abstract
We study possible deformations of BPS supertubes keeping their conserved charges fixed. We show that there is no flat direction to closed supertubes of circular cross section with uniform electric and magnetic fields, and also to open planar supertubes. We also find that there are continuously infinite flat deformations to supertubes of general shape under certain conditions.
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