期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1088/1126-6708/2007/12/006
关键词
AdS-CFT correspondence; D-branes; supersymmetry and duality; gauge-gravity correspondence
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 g BPS states in N = 4 Yang-Mills theory. We view our result as evidence that the spectrum of g 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.
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