AdS_4 x CP^3 superstring in the light-cone gauge
Abstract
The Type IIA superstring action on the AdS_4 x CP^3 background, obtainable by the double dimensional reduction of the AdS_4 x S^7 supermembrane, is considered in the kappa-symmetry light-cone gauge, in which the light-like directions are chosen on the D=3 Minkowski boundary of AdS_4. Such choice of the gauge condition relies on representing the AdS_4 x S^7 background isometry superalgebra osp(4|8) (and correspondingly the osp(4|6) isometry superalgebra of the AdS_4 x CP^3 background) as D=3 extended superconformal algebra. The gauge-fixed action includes contributions up to the 4th power in the fermions.
Cite
@article{arxiv.0906.4699,
title = {AdS_4 x CP^3 superstring in the light-cone gauge},
author = {D. V. Uvarov},
journal= {arXiv preprint arXiv:0906.4699},
year = {2012}
}
Comments
LaTeX, 18 pages. v2: comments and references added, misprints corrected; v3: corrected misprints in Eqs.(67), (85), (98); v4: missing terms in Eqs. (43) and (68) added