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

By Indranil Biswas, D. Gaiotto, Subhaneil Lahiri, Shiraz Minwalla. 2006

160 citations recorded by the source corpus.

Mikhailov has constructed an infinite family of 1 BPS D3-branes in AdS5 × S 5 . We regulate Mikhailov's solution space by focussing on finite dimensional submani- folds. Our submanifolds are topologically complex projective spaces with symplectic form cohomologically equal to 2πN times the Fubini-Study Kahler class. Upon quan- tization 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 BPS states in N = 4 Yang-Mills theory. We view our result as evidence that the spectrum of 1 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/774f902f84e2feec8a2b8f1b0dbf7469b6c7c606

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Citations in the corpus

Diagonal multi-matrix correlators and BPS operators in N=4 SYM (2007, background): “It has been argued that the physics of the eighth-BPS giants [29] is given by the dynamics of N particles in a 3D simple harmonic oscillator [30][31][32].”
Diagonal free field matrix correlators, global symmetries and giant gravitons (2008, background): “re the parameters N,k,nare all large. There have been earlier discussions of supersymmetric states obtained from the quantizationofmoduli spaces ofgiants and the comparison with gauge theory counting [39,40,41,42]. In the discussion above we have been interested in all the excitations in the free th”
Counting BPS operators in gauge theories: quivers, syzygies and plethystics (2006, unknown): “This would give partition functions depending on additional charges and would, for instance, enable a computation of the BPS index in quiver gauge theories, see [67, 68, 69, 70].”
Branes, anti-branes and Brauer algebras in gauge-gravity duality (2007, background): “space-time via the AdS/CFT duality [5, 6, 7]. Some further aspects and developments related to half-BPS giant gravitons are in [1, 8, 9, 10, 11, 12, 13, 14, 15, 16 ] and references therein.”
Counting 1/8-BPS Dual-Giants (2006, methodology): “ndividual levels in the giant graviton system. It will be very interesting to explore if this type of a duality exists for the 1/8-BPS states with (J 1,J 2,J 3) quantum numbers considered here and in [11, 12]. Further in the half-BPS sector the duality between giants and dual-giants follows form a u”
Counting gauge invariants: The Plethystic program (2007, background): “theories [47, 48, 49 , 50, 51, 52] as well as the counting of instantons such as in [53].”