Noncommutativity relations in type IIB theory and their supersymmetry

Abstract

In the present paper we investigate noncommutativity of $D9$ and $D5$-brane world-volumes embedded in space-time of type IIB superstring theory. Boundary conditions, which preserve half of the initial supersymmetry, are treated as canonical constraints. Solving the constraints we obtain original coordinates in terms of the effective coordinates and momenta. Presence of momenta induces noncommutativity of string endpoints. We show that noncommutativity relations are connected by N=1 supersymmetry transformations and noncommutativity parameters are components of N=1 supermultiplet.

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• ICTP Lectures on Covariant Quantization of the Superstring
• Field Theory on Nonanticommutative Superspace
• Gauge symmetries decrease the number of Dp-brane dimensions
• $D5$-brane type I superstring background fields in terms of type IIB ones by canonical method and T-duality approach
• Gauge symmetries decrease the number of Dp-brane dimensions. II. Inclusion of the Liouville term
• Type I background fields in terms of type IIB ones

Cited by in corpus (4)

• Non-commutativity parameters depend not only on the effective coordinate but on its T-dual as well
• Fermionic T-duality and momenta noncommutativity
• Dirichlet boundary conditions in type IIB superstring theory and fermionic T-duality
• Twisted SUSY: twisted symmetry versus renormalizability