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

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.

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

References in corpus (14)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Spinning strings at one-loop in AdS_4 x P^3
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Semi-classical strings in AdS_4*CP^3
• Non-planar ABJM Theory and Integrability

Cited by in corpus (2)

• On the Non-renormalization of the AdS Radius
• Fermionic reductions of the AdS4 x CP3 superstring