Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders

Details Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders

2004-06-17

arxiv.org/abs/hep-th/0406148v3

Nucl.Phys. B711 (2005) 392-406

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 14 pages. v2: reference added. v3: version to appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2005.01.022

Using the non-Abelian action for coincident Type IIB gravitational waves proposed in hep-th/0303183 we show that giant gravitons in the AdS_3 x S^3 x T^4 background can be described in terms of coincident waves expanding into a fuzzy cylinder, spanned by two embedding scalars and one worldvolume scalar. This fuzzy cylinder has dipole and magnetic moments with respect to the 2-form and 6-form potentials of the background, and can be interpreted as a bound state of D1-branes and D5-branes (wrapped on the 4-torus) wrapped around the basis of the cylinder. We show the exact agreement between this description and the Abelian, macroscopical description given in the literature.

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