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

Biswas, Indranil ; Gaiotto, Davide ; Lahiri, Subhaneil ; Minwalla, Shiraz (2007) Supersymmetric states of N = 4 Yang-Mills from giant gravitons Journal of High Energy Physics, 2007 (12). 006_1-006_67. ISSN 1126-6708

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Mikhailov has constructed an infinite family of (1/8) BPS D3-branes in AdS5 × S5. 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 2π 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.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
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Deposited On:12 Oct 2010 04:36
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