S^2 x S^3 geometries in ABJM and giant gravitons

Abstract

We construct a new NS5-brane solution in AdS_4 x CP^3 with S^2 x S^3 topology. This solution belongs to the general class of non-Einstein N_{11} metrics to which T^{1,1} belongs, and carries a non-vanishing D0-brane charge. In eleven dimensions it gives rise to a squashed S^2 x S^3 M5-brane giant graviton which is now of the N_{10} type. The energies of both solutions satisfy the BPS bound E=kQ/2, indicating supersymmetric configurations, where Q is interpreted as D0-brane charge for the NS5-brane and as angular momentum for the dynamically stable M5-brane giant graviton. The ground state is degenerate with a spherical D2 or M2-brane, rather than with a point-like object. Moreover, while the charge of the spherical 2-brane can be arbitrary, the charge of the S^2 x S^3 5-brane is bounded by N/2, with N the rank of the ABJM gauge group, a manifestation of the stringy exclusion principle. A microscopic description, suitable for the study of the finite 't Hooft coupling region, is provided in terms of spherical D2 or M2-branes expanding into fuzzy 3-spheres.

30 pages; 2 figures; change to JHEP3 style; minor revisions

References in corpus (44)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Dielectric-Branes
• AdS3 Black Holes and a Stringy Exclusion Principle
• Bubbling AdS space and 1/2 BPS geometries
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• Giant Gravitons in Conformal Field Theory
• SUSY and Goliath
• Leading proton production in deep inelastic scattering at HERA
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• Giant Gravitons from Holomorphic Surfaces
• Large N BPS states and emergent quantum gravity
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Phases of Antisymmetric Tensor Field Theories
• Massive Branes
• 5-branes, KK-monopoles and T-duality
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• A study of open strings ending on giant gravitons, spin chains and integrability
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• A Microscopical Description of Giant Gravitons
• Fuzzy Ring from M2-brane Giant Torus
• Aspects of emergent geometry in the AdS/CFT context
• On Half-BPS States of the ABJM Theory
• A Microscopical Description of Giant Gravitons II: The AdS_5 x S^5 Background
• Giant Gravitons and Fuzzy CP^2
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
• The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry
• From Schurs to Giants in ABJ(M)
• Squashed Giants: Bound States of Giant Gravitons
• The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus
• Exact Large R-charge Correlators in ABJM Theory
• Beyond the Planar Limit in ABJM
• Charged particle-like branes in ABJM
• Dielectric 5-Branes and Giant Gravitons in ABJM
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• ABJM Dibaryon Spectroscopy
• Non-commutative Branes from M-theory
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• ABJM Baryon Stability and Myers effect
• Rotating Membranes in AdS_4xM^{1,1,1}
• Tensionless supersymmetric M2 branes in $Ad{S}_4\times S^7$ and Giant Diabolo

Cited by in corpus (4)

• Structure constants of heavy operators in ABJM/ABJ Theory
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• A giant graviton genealogy
• M2-M5 giant graviton expansions