R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
By A. Tseytlin. 2000
156 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/981e92982a7a2af10e656e2880ab83b935a26b65
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Citations in the corpus
- On renormalization group flows and the a-theorem in 6d (2012, background): “13) exactly (12)Corrections subleading in N were studied in [32].”
- D3-D7 inflationary model and M theory (2002, methodology): “In our model there are two different sources of higher order corrections [37]: (1) Curvature corrections: In the M-theory metric the higher curvature corrections come from the following terms in the eleven dimensional lagrangian:”
- Lectures on Black Holes and the AdS3/CFT2 Correspondence (2006, background): “line are the standard two derivative bosonic terms. In the second line we have written a particular eight derivative term. Of course, there are an infinite series of other higher derivative terms (see [50,51,52] for some general results), but the important point is that in (4.16) we have written the ”
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- M-theory compactified on Calabi–Yau fourfolds with background flux☆ (2001, background): “A M7M8 = 24trA 4−6(trA2)2 for antisymmetric tensors A.9 Note that E 8 given in (15) is not the eight-dimensional Euler density but an 11-dimensional generalization of it. More generally one can define [23] E n(M D) = 1 (D − n)! ǫ N1...N D−nN +1...N ǫ N1...N D−nN ′ D−n+1 ...N ′ D R N D−n+1 D−n+2 N ′ D”
- Loops in AdS from conformal field theory (2016, unknown): “[73]).”
- Summing up all genus free energy of ABJM matrix model (2011, background): “be completed by the terms involving the 4-form F 4. Indeed, the 11d N = 1 SUGRA on-shell superfield [33] suggests schematically the completion of the form (R+F2 4 ) 4, but this vanishes on AdS 4×S7/Zk [34, 35]. Furthermore, the one-loop vacuum energy vanishes in 4d N ≥ 5 SUGRA on the global AdS 4 who”
- Supersymmetry breaking by fluxes (2017, background): “A nice summary with relevant references can be found in [45] based in part on [31].”
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