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

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• D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades
• Exact Slope and Interpolating Functions in ABJM Theory
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• Localization in Supergravity and Quantum $Ad{S}_4/CF{T}_3$ Holography
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• 4d $\mathcal{N}=2$ S-folds
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• Large $N$ Partition Functions of the ABJM Theory
• Two-loop cusp anomaly in ABJM at strong coupling
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
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• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
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• Gravity dual of dynamically broken supersymmetry
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• ABJM Baryon Stability and Myers effect
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
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• Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries
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• 3d superconformal indices and isomorphisms of M2-brane theories
• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
• Quantization of charges and fluxes in warped Stenzel geometry
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• Fermionic reductions of the AdS4 x CP3 superstring
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• Wilson Loops from D-branes in AdS(4) X CP**3 with B-NS Holonomy
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Quantum Holographic Entanglement Entropy to All Orders in $1/N$ Expansion
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