Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons

Abstract

Eighth-BPS local operators in N=4 SYM are dual to quantum states arising from the quantization of a moduli space of giant gravitons in AdS5xS5. Earlier results on the quantization of this moduli space give a Hilbert space of multiple harmonic oscillators in 3 dimensions. We use these results, along with techniques from fuzzy geometry, to develop a map between quantum states and brane geometries. In particular there is a map between the oscillator states and points in a discretization of the base space in the toric fibration of the moduli space. We obtain a geometrical decomposition of the space of BPS states with labels consisting of U(3) representations along with U(N) Young diagrams and associated group theoretic multiplicities. Factorization properties in the counting of BPS states lead to predictions for BPS world-volume excitations of specific brane geometries. Some of our results suggest an intriguing complementarity between localisation in the moduli space of branes and localisation in space-time.

69 pages, 6 figures. v2: references added

References in corpus (15)

• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• Nonplanar Integrability
• Giant Graviton Oscillators
• Giant Gravitons - with Strings Attached (III)
• Holographic three-point functions of giant gravitons
• A study of open strings ending on giant gravitons, spin chains and integrability
• Dual Giant Gravitons in Sasaki-Einstein Backgrounds
• Brane webs and 1/4-BPS geometries
• From counting to construction of BPS states in N=4 SYM
• Permutations and the Loop
• Cut-and-join operators and N=4 super Yang-Mills
• Fuzzy Toric Geometries
• Young diagrams, Brauer algebras, and bubbling geometries
• D-branes Wrapped on Fuzzy del Pezzo Surfaces

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• Quarter-BPS states, multi-symmetric functions and set partitions
• A giant graviton genealogy
• Subleading corrections to the Double Coset Ansatz preserve integrability
• Meromorphic Functions and the Topology of Giant Gravitons
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