Worldsheet spectrum in AdS(4)/CFT(3) correspondence
Abstract
The AdS(4)/CFT(3) duality is a new example of an integrable and exactly solvable AdS/CFT system. There is, however, a puzzling mismatch between the number of degrees of freedom used in the exact solution (4B+4F scattering states) and 8B+8F transverse oscillation modes of critical superstring theory. We offer a resolution of this puzzle by arguing that half of the string modes dissolve in the continuum of two-particle states once alpha' corrections are taken into account. We also check that the conjectured exact S-matrix of AdS(4)/CFT(3) agrees with the tree-level worldsheet calculation.
Cite
@article{arxiv.0903.1747,
title = {Worldsheet spectrum in AdS(4)/CFT(3) correspondence},
author = {K. Zarembo},
journal= {arXiv preprint arXiv:0903.1747},
year = {2010}
}
Comments
19 pages, 2 figures; v2: misprints in (2.3), (2.11) and (A.1) corrected, a reference added; v3: misprints in (B.6), (B.9) and (B.12) corrected; v4: footnote 4 added