Citation

BibTex format

@article{Beccaria:2023:10.1016/j.nuclphysb.2023.116286,
author = {Beccaria, M and Tseytlin, AA},
doi = {10.1016/j.nuclphysb.2023.116286},
journal = {Nuclear Physics B},
title = {Comments on ABJM free energy on S3 at large N and perturbative expansions in M-theory and string theory},
url = {http://dx.doi.org/10.1016/j.nuclphysb.2023.116286},
volume = {994},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We compare large N expansion of the localization result for the free energy F in the 3d N = 6 superconformal U(N)k × U(N)−k Chern-Simons-matter theory to its AdS/CFT counterpart, i.e. to the perturbativeexpansion of M-theory partition function on AdS4 × S7/Zk and to the weak string coupling expansionof type IIA effective action on AdS4 × CP3. We show that the general form of the perturbative expansions of F on the two sides of the AdS/CFT duality is indeed the same. Moreover, the transcendentalityproperties of the coefficients in the large N, large k expansion of F match those in the corresponding Mtheory or string theory expansions. To shed light on the structure of the 1-loop M-theory partition functionon AdS4 × S7/Zk we use the expression for the 1-loop 4-graviton scattering amplitude in the 11d supergravity. We also use the known information about the transcendental coefficients of the leading curvatureinvariants in the low-energy effective action of type II string theory. Matching of the remaining rationalfactors in the coefficients requires a precise information about currently unknown RR field strength termsin the corresponding superinvariants.
AU  - Beccaria,M
AU  - Tseytlin,AA
DO  - 10.1016/j.nuclphysb.2023.116286
PY  - 2023///
SN  - 0550-3213
TI  - Comments on ABJM free energy on S3 at large N and perturbative expansions in M-theory and string theory
T2  - Nuclear Physics B
UR  - http://dx.doi.org/10.1016/j.nuclphysb.2023.116286
UR  - http://hdl.handle.net/10044/1/109026
VL  - 994
ER  -
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