A note on dual giant gravitons in $AdS_{4}\times \mathbb{CP}^{3}$

Details A note on dual giant gravitons in $AdS_{4}\times \mathbb{CP}^{3}$ A note on dual giant gravitons in $AdS_{4}\times \mathbb{CP}^{3}$

2008-12-30

arxiv.org/abs/0901.0009v3

JHEP 0904:132,2009

Physics

High Energy Physics

High Energy Physics - Theory

v3 significantly changed: added coupling to RR 1-form and turned on worldvolume gauge field, computed gauge field fluctuation,

Scientific paper

10.1088/1126-6708/2009/04/132

We study some of the properties of dual giant gravitons - D2-branes wrapped on an $S^{2}\subset AdS_{4}$ - in type IIA string theory on $AdS_{4}\times \mathbb{CP}^{3}$. In particular we confirm that the spectrum of small fluctuations about the giant is both real and independent of the size of the graviton. We also extend previously developed techniques for attaching open strings to giants to this D2-brane giant and focus on two particular limits of the resulting string sigma model: In the pp-wave limit we quantize the string and compute the spectrum of bosonic excitations while in the semiclassical limit, we read off the fast string Polyakov action and comment on the comparison to the Landau-Lifshitz action for the dual open spin chain.

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