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Bubbling AdS and Vacuum String Field Theory

L. Bonora·C. Maccaferri·R. J. Scherer Santos·D. D. Tolla
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Abstract

We show that a family of 1/2--BPS states of $\N=4$ SYM is in correspondence with a family of classical solutions of VSFT with a $B$--field playing the role of the inverse Planck constant. We show this correspondence by relating the Wigner distributions of the $N$ fermion systems representing such states, to low energy space profiles of systems of VSFT D-branes. In this context the Pauli exclusion principle appears as a consequence of the VSFT projector equation. The family of 1/2--BPS states maps through coarse--graining to droplet LLM supergravity solutions. We discuss the possible meaning of the corresponding coarse graining in the VSFT side.

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L. Bonora, C. Maccaferri, R. J. Scherer Santos, D. D. Tolla. 2006-06-09. Bubbling AdS and Vacuum String Field Theory. https://doi.org/10.1016/j.nuclphysb.2006.05.029

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