Giant Gravitons, BPS bounds and Noncommutativity

Abstract

It has been recently suggested that gravitons moving in $Ad{S}_m\times S^n$ spacetimes along the $S^n$ blow up into spherical $(n-2)$ branes whose radius increases with increasing angular momentum. This leads to an upper bound on the angular momentum, thus ``explaining'' the stringy exclusion principle. We show that this bound is present only for states which saturate a BPS-like condition involving the energy $E$ and angular momentum $J$, $E\ge J/R$, where $R$ is the radius of $S^n$. Restriction of motion to such states lead to a noncommutativity of the coordinates on $S^n$. As an example of motions which do not obey the exclusion principle bound, we show that there are finite action instanton configurations interpolating between two possible BPS states. We suggest that this is consistent with the proposal that there is an effective description in terms of supergravity defined on noncommutative spaces and noncommutativity arises here because of imposing supersymmetry.

15 pages, harvmac, corrected some typos

References in corpus (4)

• Invasion of the Giant Gravitons from Anti-de Sitter Space
• Large branes in AdS and their field theory dual
• SUSY and Goliath
• Noncommutative spheres and the AdS/CFT correspondence

Cited by in corpus (54)

• Giant Gravitons in Conformal Field Theory
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• De-singularization by rotation
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• What is the gravity dual of a chiral primary?
• Fermions from Half-BPS Supergravity
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• Giant Graviton Correlators from Dual SU(N) super Yang-Mills Theory
• Giant Gravitons - with Strings Attached (I)
• Counting 1/8-BPS Dual-Giants
• Magnetic Moments of Branes and Giant Gravitons
• A harmonic family of dielectric flow solutions with maximal supersymmetry
• Half-BPS Giants, Free Fermions and Microstates of Superstars
• Matrix Model Maps in AdS/CFT
• pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• Towards the solution to the giant graviton puzzle
• Giants On Deformed Backgrounds
• A Microscopical Description of Giant Gravitons II: The AdS_5 x S^5 Background
• Fuzzy Sphere from Matrix Model
• Dual giant gravitons in AdS${}_m$ $\times$ Y${}^n$ (Sasaki-Einstein)
• Instantons of M(atrix) Theory in PP-Wave Background
• Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies
• Unstable Giants
• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• Matrix dynamics of fuzzy spheres
• Instantons, supersymmetric vacua, and emergent geometries
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
• Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders
• Multi-Spin Giants
• Giant Gravitons on Deformed pp-waves
• Counting Wobbling Dual-Giants
• Branes wrapping Black Holes
• M-Theory Giant Gravitons with C field
• Black Hole Giants
• Tunneling between the giant gravitons in AdS5 x S5
• Expanded Strings in the Background of NS5-branes via a M2-brane, a D2-brane and D0-branes
• Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry
• On D0 brane polarization by tidal forces
• Tachyon condensation and `bounce' in the D1-D5 system
• The giant graviton expansion in $Ad{S}_5\times S^5$
• Giant graviton expansions and ETW brane
• Gravitational Dielectric Effect and Myers Effect
• Hidden classical symmetry in quantum spaces at roots of unity : From q-sphere to fuzzy sphere
• Bubbling AdS and Vacuum String Field Theory
• Thermal Giant Graviton with Non-commutative Dipole Field
• Giant Gravitons on the Schrodinger pp-wave geometry
• A KK-monopole giant graviton in AdS_5 x Y_5
• Correlation functions of determinant operators in conformal fishnet theory
• Dielectric D0-Branes in Near-Horizon D-Brane Backgrounds and D-Strings under Electric RR Fluxes
• Generating a dynamical M2 brane from super-gravitons in a pp-wave background
• Worldvolume Dynamics of Branes
• "Non-renormalization" without supersymmetry