Squashed Giants: Bound States of Giant Gravitons

Abstract

We consider giant gravitons in the maximally supersymmetric type IIB plane-wave, in the presence of a constant NSNS B-field background. We show that in response to the background B-field the giant graviton would take the shape of a deformed three-sphere, the size and shape of which depend on the B-field, and that the giant becomes classically unstable once the B-field is larger than a critical value B_{cr}. In particular, for the B-field which is (anti-)self-dual under the SO(4) isometry of the original giant S^3, the closed string metric is that of a round S^3, while the open string metric is a squashed three-sphere. The squashed giant can be interpreted as a bound state of a spherical three-brane and circular D-strings. We work out the spectrum of geometric fluctuations of the squashed giant and study its stability. We also comment on the gauge theory which lives on the brane (which is generically a noncommutative theory) and a possible dual gauge theory description of the deformed giant.

Latex file, 32 pages, 6 .eps figures; v3: typos corrected

Cited by in corpus (18)

• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Giant Graviton Correlators from Dual SU(N) super Yang-Mills Theory
• Hidden Yangian symmetry in sigma model on squashed sphere
• Brane Effective Actions, Kappa-Symmetry and Applications
• Fat Magnon
• Giants On Deformed Backgrounds
• From Schurs to Giants in ABJ(M)
• Unstable Giants
• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• Giant Gravitons on Deformed pp-waves
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• Black Hole Giants
• Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• BPS Electromagnetic Waves on Giant Gravitons
• Thermal Giant Graviton with Non-commutative Dipole Field
• Giant Gravitons on the Schrodinger pp-wave geometry
• S^2 x S^3 geometries in ABJM and giant gravitons