Counting 1/8-BPS Dual-Giants

By Gautam Mandal, Nemani V. Suryanarayana. 2006

133 citations recorded by the source corpus.

We count 1/8-BPS states in type IIB string theory on AdS_5 x S^5 background which carry three independent angular momenta on S^5. These states can be counted by considering configurations of multiple dual-giant gravitons up to N in number which share at least four supersymmetries. We map this counting problem to that of counting the energy eigen states of a system of N bosons in a 3-dimensional harmonic oscillator. We also count 1/8-BPS states with two independent non-zero spins in AdS_5 and one non-zero angular momentum on S^5 by considering configurations of arbitrary number of giant gravitons that share at least four supersymmetries.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1dcf73d7d78f87a07884f98afb776c12838d71ff

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In Nuclear and High Energy Physics

Citations in the corpus

Black holes as effective geometries (2008, background): “Probe solutions (giant gravitons) preserving 1/8 of the supersymmetry were studied in [137,138,139,140,141] and the back-reaction of such probes was worked out in [142,143].”
Diagonal free field matrix correlators, global symmetries and giant gravitons (2008, result): “There have been earlier discussions of supersymmetric states obtained from the quantization of moduli spaces of giants and the comparison with gauge theory counting [39, 40, 41, 42].”
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].”
Supersymmetric states of N=4 Yang-Mills from giant gravitons (2006, unknown): “19 3.6 Cohomology class of the symplectic form . . . . . . . . . . . . . . . . . . . 20”
Lectures on black holes, topological strings and quantum attractors (2006, background): “Let us also note that the idea of quantizing the BPS sector configurations has been applied successfully in various set-ups [130, 131, 132, 133, 134], and in particular to the problem of two-charge black holes [135].”
Counting BPS operators in gauge theories: quivers, syzygies and plethystics (2006, unknown): “N gN(ti)ν N = ∏ n,m,r∈C 1 (1 − νt1 t2 t3) A different approach is [72], where they consider “dual GG’s”, i.”
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].”
Giant gravitons—with strings attached (I) (2007, unknown): “The recent work [25] suggests that many of the results that have been obtained for 1 2 -BPS giants may have an interesting extension to the 1 4 and 1 8 -BPS cases.”
Giant Gravitons - with Strings Attached (III) (2007, background): “One could also consider attaching strings to giants that preserve less supersymmetry[29].”