Anomalous radius shift in AdS(4)/CFT(3)
Abstract
We study higher order corrections to the radius/M2-brane charge of AdS4 x S7/Zk. There are two sources of corrections: one from the orbifold singularity of C4/Zk, and the other from the discrete torsion associated with the homology 3-cycle H3(S7/Zk,Z) = Zk. We give a precise formula for the charge shift. These corrections are relevant, for example, at two loops in the AdS4 x CP3 sigma model, and therefore for the strong coupling test of the all loop Bethe ansatz.
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