Giant Gravitons and Fuzzy CP^2

Abstract

In this article we describe the giant graviton configurations in AdS_m x S^n backgrounds that involve 5-spheres, namely, the giant graviton in AdS_4 x S^7 and the dual giant graviton in AdS_7 x S^4, in terms of dielectric gravitational waves. Thus, we conclude the programme initiated in hep-th/0207199 and pursued in hep-th/0303183 and hep-th/0406148 towards the microscopical description of giant gravitons in AdS_m x S^n spacetimes. In our construction the gravitational waves expand due to Myers dielectric effect onto fuzzy 5-spheres which are described as S^1 bundles over fuzzy CP^2. These fuzzy spheres appear as solutions of the matrix model that comes up as the action for M-theory gravitational waves. The validity of our description is checked by confirming the agreement with the Abelian description in terms of a spherical M5-brane when the number of waves goes to infinity.

20 pages. v2: references added. v3: version to appear in Nucl.Phys.B

References in corpus (8)

• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Finite Gauge Theory on Fuzzy CP^2
• Dynamical aspects of the fuzzy CP${}^2$ in the large $N$ reduced model with a cubic term
• Fuzzy spaces, the M(atrix) model and the quantum Hall effect
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• Obstruction to D-brane topology change
• On fuzzy spheres and (M)atrix actions

Cited by in corpus (20)

• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory
• Giants On Deformed Backgrounds
• Fuzzy 5-spheres and pp-wave Matrix Actions
• Computing Wilson lines with dielectric branes
• Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS(6)
• Type II pp-wave Matrix Models from Point-like Gravitons
• Dielectric 5-Branes and Giant Gravitons in ABJM
• The baryon vertex with magnetic flux
• On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres
• BPS Electromagnetic Waves on Giant Gravitons
• ABJM Baryon Stability and Myers effect
• Fuzzy $C{P}^2$ Space-Times
• Branes wrapping black holes as a purely gravitational dielectric effect
• On the gauge invariance and coordinate transformations of non-Abelian D-brane actions
• D-branes Wrapped on Fuzzy del Pezzo Surfaces
• S^2 x S^3 geometries in ABJM and giant gravitons
• A KK-monopole giant graviton in AdS_5 x Y_5
• Adding magnetic flux to the baryon vertex
• Pp-wave Matrix Models from Point-like Gravitons