Giant Gravitons in type IIA PP-wave Background

Abstract

We examine giant gravitons with a worldvolume magnetic flux $q$ in type IIA pp-wave background and find that they can move away from the origin along $x^4$ direction in target space satisfying $R{x}^4=-q$. This nontrivial relation can be regarded as a complementary relation of the giant graviton on IIA pp-wave and is shown to be connected to the spacetime uncertainty principle. The giant graviton is also investigated in a system of N D0-branes as a fuzzy sphere solution. It is observed that $x^4$ enters into the fuzzy algebra as a deformation parameter. Such a background dependent Myers effect guarantees that we again get the crucial relation of our giant graviton. In the paper, we also find a BIon configuration on the giant graviton in this background.

10 pages, no figure, content added, typo corrected, reference added

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Cited by in corpus (6)

• pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres
• D-branes of Covariant AdS Superstrings
• Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders
• Type II pp-wave Matrix Models from Point-like Gravitons
• Smearing Effect in Plane-Wave Matrix Model
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model