Bubbling AdS and vacuum string field theory

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.

The gravitational description of coarse grained microstates

“…The AdS/CFT correspondence and the counting of microstates of black holes in string theory provide a substantial amount of evidence that gravity is thermodynamic in nature, and that classical gravity arises by coarse graining over a (large number of) microstates. This point of view was elaborated in [1] for large black holes in AdS 5 and also for 1/2 BPS geometries that asymptote to AdS 5 × S 5 , following the work of [2] (for related work see also [3][4][5][6][7][8][9][10][11][12]). In the 1/2 BPS case one can develop a precise map between microstates and geometries and study the coarse graining in detail.…”

Analytical Solutions of Open String Field Theory

“…Closed string amplitudes in open string field theory were also studied in [291,292]. Some interesting speculations regarding the relation between open and closed strings from a string field theoretical perspective appeared in [293,294]. 119 The best would be of course, if one could somehow translate the solutions to Siegel gauge.…”

AdS/CFT

“…It is likely that some of the results found in the SUGRA BPS sector could be of relevance to string theory. For the study of 'bubbling' configurations in open string field theory the reader should consult [29].…”