From Gravitons to Giants

Abstract

We discuss exact quantization of gravitational fluctuations in the half-BPS sector around AdS${}_5\times$S${}^5$ background, using the dual super Yang-Mills theory. For this purpose we employ the recently developed techniques for exact bosonization of a finite number $N$ of fermions in terms of $N$ bosonic oscillators. An exact computation of the three-point correlation function of gravitons for finite $N$ shows that they become strongly coupled at sufficiently high energies, with an interaction that grows exponentially in $N$. We show that even at such high energies a description of the bulk physics in terms of weakly interacting particles can be constructed. The single particle states providing such a description are created by our bosonic oscillators or equivalently these are the multi-graviton states corresponding to the so-called Schur polynomials. Both represent single giant graviton states in the bulk. Multi-particle states corresponding to multi-giant gravitons are, however, different, since interactions among our bosons vanish identically, while the Schur polynomials are weakly interacting at high enough energies.

v2-references added, minor changes and typos corrected; 24 pages, latex, 3 epsf figures

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Cited by in corpus (20)

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• Holographic three-point functions of giant gravitons
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• Correlators, Probabilities and Topologies in N=4 SYM
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• Giant gravitons and correlators
• The Gravitational Description of Coarse Grained Microstates
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• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• Coherent state superpositions, entanglement and gauge/gravity correspondence
• Entanglement and mixed states of Young tableau states in gauge/gravity correspondence