Supertubes and Supercurves from M-Ribbons
Yoshifumi Hyakutake, Nobuyoshi Ohta
TL;DR
This paper constructs and analyzes M-theory configurations called M-ribbons, which upon reduction yield supertubes and supercurves in type IIA, and explores their SL(2,Z) duality properties in type IIB.
Contribution
It introduces generalized M-ribbons consistent with SL(2,Z) symmetry, linking supertube configurations across different string theory dualities.
Findings
M-ribbons are 1/4 BPS configurations in M-theory.
Generalized M-ribbons are compatible with SL(2,Z) modular transformations.
BPS M-ribbons are constrained to be straight in one direction.
Abstract
We construct 1/4 BPS configurations, `M-ribbons', in M-theory on T^2, which give the supertubes and supercurves in type IIA theory upon dimensional reduction. These M-ribbons are generalized so as to be consistent with the SL(2,Z) modular transformation on T^2. In terms of the type IIB theory, the generalized M-ribbons are interpreted as an SL(2,Z) duality family of super D-helix. It is also shown that the BPS M-ribbons must be straight in one direction.
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