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Title: One-loop supergravity on AdS4 × S7/Zk and comparison with ABJM theory

Abstract

The large-N limit of ABJM theory is holographically dual to M-theory on AdS4 × S7/Zk. The 3-sphere partition function has been obtained via localization, and its leading behavior FABJM(0) ~ k1/2N3/2 is exactly reproduced in the dual theory by tree-level supergravity. In this paper, we extend this comparison to the sub-leading O(N0) order by computing the one-loop 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 low-energy approximation ZM-theory = ZSUGRA breaks down at one-loop order.

Authors:
 [1];  [1]
  1. 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) (SC-25)
OSTI Identifier:
1368085
Grant/Contract Number:  
SC0007859
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; M-Theory

Citation Formats

Liu, James T., and Zhao, Wenli. One-loop 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. One-loop 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 . "One-loop 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 = {One-loop supergravity on AdS4 × S7/Zk and comparison with ABJM theory},
author = {Liu, James T. and Zhao, Wenli},
abstractNote = {The large-N limit of ABJM theory is holographically dual to M-theory on AdS4 × S7/Zk. The 3-sphere partition function has been obtained via localization, and its leading behavior FABJM(0) ~ k1/2N3/2 is exactly reproduced in the dual theory by tree-level supergravity. In this paper, we extend this comparison to the sub-leading O(N0) order by computing the one-loop 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 low-energy approximation ZM-theory = ZSUGRA breaks down at one-loop order.},
doi = {10.1007/JHEP11(2016)099},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2016,
place = {United States},
year = {2016},
month = {11}
}

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