Anomalous radius shift in AdS(4)/CFT(3)

Details Anomalous radius shift in AdS(4)/CFT(3) Anomalous radius shift in AdS(4)/CFT(3)

2009-02-10

arxiv.org/abs/0902.1743v2

JHEP 0907:016,2009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages; v2: The Type IIA D-brane probe calculation has been corrected, and now agrees with the M theory calculation. Appendi

Scientific paper

10.1088/1126-6708/2009/07/016

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.

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