Anomalous radius shift in AdS(4)/CFT(3)
High Energy Physics - Theory
2009-07-22 v2
Abstract
We study higher order corrections to the radius/M2-brane charge of AdS_4 x S^7/Z_k. There are two sources of corrections: one from the orbifold singularity of C^4/Z_k, and the other from the discrete torsion associated with the homology 3-cycle H_3(S^7/Z_k,Z) = Z_k. We give a precise formula for the charge shift. These corrections are relevant, for example, at two loops in the AdS_4 x CP^3 sigma model, and therefore for the strong coupling test of the all loop Bethe ansatz.
Keywords
Cite
@article{arxiv.0902.1743,
title = {Anomalous radius shift in AdS(4)/CFT(3)},
author = {Oren Bergman and Shinji Hirano},
journal= {arXiv preprint arXiv:0902.1743},
year = {2009}
}
Comments
16 pages; v2: The Type IIA D-brane probe calculation has been corrected, and now agrees with the M theory calculation. Appendix on conventions for RR fields and D-brane actions added. Note added on a possible correction due to a parity anomaly. References added