Fuzzy 5-spheres and pp-wave Matrix Actions

Abstract

Using the action describing N coincident gravitational waves in M-theory we construct a pp-wave Matrix model cointaning a fuzzy 5-sphere giant graviton solution. This fuzzy 5-sphere is constructed as a U(1) fibration over a fuzzy $C{P}^2$, and has the correct dependence of the radius with the light-cone momentum, $r^4\sim p^{+}$, to approach the 5-sphere giant graviton solution of Mc.Greevy et al in the large N limit.

15 pages, references added

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Cited by in corpus (24)

• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
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• Dynamical aspects of the plane-wave matrix model at finite temperature
• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
• Instantons, supersymmetric vacua, and emergent geometries
• On the transverse M5-branes in matrix theory
• Type II pp-wave Matrix Models from Point-like Gravitons
• Dielectric 5-Branes and Giant Gravitons in ABJM
• ABJM Baryon Stability and Myers effect
• Action for the eleven dimensional multiple M-wave system
• Spherical transverse M5-branes from the plane wave matrix model
• Branes wrapping black holes as a purely gravitational dielectric effect
• On the gauge invariance and coordinate transformations of non-Abelian D-brane actions
• Covariant action and equations of motion for the eleven dimensional multiple M0-brane system
• Supersymmetric action for multiple D0-brane system
• Supersymmetric non-Abelian multiwaves in D=3 AdS superspace
• 3D supersymmetric nonlinear multiple D$0$-brane action and 4D counterpart of multiple M-wave system
• Complete nonlinear action for supersymmetric multiple D$0$-brane system
• A KK-monopole giant graviton in AdS_5 x Y_5
• Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions
• Hamiltonian approach and quantization of $D=3,\mathcal{N}=1$ supersymmetric non-Abelian multiwave system
• Fuzzy Torus via q-Parafermion
• Multiple M0-brane equations in eleven dimensional pp-wave superspace and BMN matrix model
• Pp-wave Matrix Models from Point-like Gravitons