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R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
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Using AdS_7/CFT_6 correspondence we discuss computation of a subleading O(N) term in the scale anomaly of (2,0) theory describing N coincident M5 branes. While the leading O(N^3) contribution to the anomaly is determined by the supergravity action, the O(N) contribution comes from a particular R^4 term (8d Euler density) in the 11-dimensional effective action. This R^4 term is argued to be part of the same superinvariant as the P-odd C_3 R^4 term known to produce O(N) contribution to the R-symmetry anomaly of (2,0) theory. The known results for R-anomaly suggest that the total scale anomaly extrapolated to N=1 should be the same as the anomaly of a single free (2,0) tensor multiplet. A proposed explanation of this agreement is that the coefficient 4N^3 in the anomaly (which was found previously to be also the ratio of the 2-point and 3-point graviton correlators in the (2,0) theory and in the free tensor multiplet theory) is shifted to 4N^3 -3N.
Forward citations
Cited by 2 Pith papers
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Effective Action in M-Theory: $(DF)^4$ Superinvariants
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The M2-brane partition function should be viewed as a grand canonical object in AdS4/ABJM holography, fixing the three-form source rather than the flux number N, which resolves puzzles about Airy shifts and one-loop e...
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