Oneloop supergravity on AdS _{4} × S ^{7}/Z _{k} and comparison with ABJM theory
Abstract
The largeN limit of ABJM theory is holographically dual to Mtheory on AdS _{4} × S ^{7}/Z _{k}. The 3sphere partition function has been obtained via localization, and its leading behavior F _{ABJM} ^{(0)} ~ k ^{1/2}N ^{3/2} is exactly reproduced in the dual theory by treelevel supergravity. In this paper, we extend this comparison to the subleading O(N ^{0}) order by computing the oneloop supergravity free energy as a function of k and comparing it with the ABJM result. Curiously, we find that the expressions do not match, with F _{SUGRA} ^{(1)}~k ^{6}, while F _{ABJM} ^{(1)}~ k ^{2}. Finally, this suggests that the lowenergy approximation Z _{Mtheory} = Z _{SUGRA} breaks down at oneloop order.
 Authors:

 Univ. of Michigan, Ann Arbor, MI (United States). Randall Lab. of Physics. Michigan Center for Theoretical Physics
 Publication Date:
 Research Org.:
 Univ. of Michigan, Ann Arbor, MI (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1368085
 Grant/Contract Number:
 SC0007859
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Volume: 2016; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT Correspondence; MTheory
Citation Formats
Liu, James T., and Zhao, Wenli. Oneloop supergravity on AdS4 × S7/Zk and comparison with ABJM theory. United States: N. p., 2016.
Web. doi:10.1007/JHEP11(2016)099.
Liu, James T., & Zhao, Wenli. Oneloop supergravity on AdS4 × S7/Zk and comparison with ABJM theory. United States. doi:10.1007/JHEP11(2016)099.
Liu, James T., and Zhao, Wenli. Fri .
"Oneloop supergravity on AdS4 × S7/Zk and comparison with ABJM theory". United States. doi:10.1007/JHEP11(2016)099. https://www.osti.gov/servlets/purl/1368085.
@article{osti_1368085,
title = {Oneloop supergravity on AdS4 × S7/Zk and comparison with ABJM theory},
author = {Liu, James T. and Zhao, Wenli},
abstractNote = {The largeN limit of ABJM theory is holographically dual to Mtheory on AdS4 × S7/Zk. The 3sphere partition function has been obtained via localization, and its leading behavior FABJM(0) ~ k1/2N3/2 is exactly reproduced in the dual theory by treelevel supergravity. In this paper, we extend this comparison to the subleading O(N0) order by computing the oneloop supergravity free energy as a function of k and comparing it with the ABJM result. Curiously, we find that the expressions do not match, with FSUGRA(1)~k6, while FABJM(1)~ k2. Finally, this suggests that the lowenergy approximation ZMtheory = ZSUGRA breaks down at oneloop order.},
doi = {10.1007/JHEP11(2016)099},
journal = {Journal of High Energy Physics (Online)},
issn = {10298479},
number = 11,
volume = 2016,
place = {United States},
year = {2016},
month = {11}
}
Web of Science
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