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**11 - 13**of**13**### hep-th/0602015 Bubbling AdS and Vacuum String Field Theory

, 2006

"... 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, t ..."

Abstract
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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.