Supersymmetric states of N=4 Yang-Mills from giant gravitons

Abstract

Mikhailov has constructed an infinite family of 1/8 BPS D3-branes in AdS(5) x S**5. We regulate Mikhailov's solution space by focussing on finite dimensional submanifolds. Our submanifolds are topologically complex projective spaces with symplectic form cohomologically equal to 2 pi N times the Fubini-Study Kahler class. Upon quantization and removing the regulator we find the Hilbert Space of N noninteracting Bose particles in a 3d Harmonic oscillator, a result previously conjectured by Beasley. This Hilbert Space is isomorphic to the classical chiral ring of 1/8 BPS states in N=4 Yang-Mills theory. We view our result as evidence that the spectrum of 1/8 BPS states in N=4 Yang Mills theory, which is known to jump discontinuously from zero to infinitesimal coupling, receives no further renormalization at finite values of the `t Hooft coupling.

66 pages, Latex. v2: typos fixed, references added. v3: more typos and references

References in corpus (5)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Supersymmetric multi-charge AdS_5 black holes
• Aspects of emergent geometry in the AdS/CFT context
• From Gravitons to Giants
• Supersymmetric AdS Backgrounds in String and M-theory

Cited by in corpus (23)

• Counting Gauge Invariants: the Plethystic Program
• Black Holes as Effective Geometries
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• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Calculating the Superconformal Index and Seiberg Duality
• Counting Chiral Operators in Quiver Gauge Theories
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• Comments on 1/16 BPS Quantum States and Classical Configurations
• N=4 Superconformal Characters and Partition Functions
• Dual Giant Gravitons in Sasaki-Einstein Backgrounds
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• Schur-Weyl duality as an instrument of Gauge-String duality
• Counting Giant Gravitons in AdS_3
• Permutations and the Loop
• Dual giant gravitons in AdS${}_m$ $\times$ Y${}^n$ (Sasaki-Einstein)
• Counting BPS Operators in the Chiral Ring of N=2 Supersymmetric Gauge Theories or N=2 Braine Surgery
• Supersymmetric Giant Graviton Solutions in AdS_3
• E3-brane instantons and baryonic operators for D3-branes on toric singularities
• Counting Wobbling Dual-Giants
• BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic Operators
• Finite N Index and Angular Momentum Bound from Gravity
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• Master Space and Hilbert Series for N=1 Field Theories