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

Indranil Biswas | Zendy; Davide Gaiotto | Zendy; Subhaneil Lahiri | Zendy; Shiraz Minwalla | Zendy

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

Author(s) -

Indranil Biswas,

Davide Gaiotto,

Subhaneil Lahiri,

Shiraz Minwalla

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/12/006

Subject(s) - yang–mills existence and mass gap , mathematical physics , symplectic geometry , yang–mills theory , hilbert space , projective hilbert space , mathematics , physics , pure mathematics , gauge theory , reproducing kernel hilbert space

Mikhailov has constructed an infinite family of 1/8 BPS D3-branes in AdS(5) xS**5. We regulate Mikhailov's solution space by focussing on finite dimensionalsubmanifolds. Our submanifolds are topologically complex projective spaces withsymplectic form cohomologically equal to 2 pi N times the Fubini-Study Kahlerclass. Upon quantization and removing the regulator we find the Hilbert Spaceof N noninteracting Bose particles in a 3d Harmonic oscillator, a resultpreviously conjectured by Beasley. This Hilbert Space is isomorphic to theclassical chiral ring of 1/8 BPS states in N=4 Yang-Mills theory. We view ourresult as evidence that the spectrum of 1/8 BPS states in N=4 Yang Millstheory, which is known to jump discontinuously from zero to infinitesimalcoupling, receives no further renormalization at finite values of the `t Hooftcoupling.Comment: 66 pages, Latex. v2: typos fixed, references added. v3: more typos and reference

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