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Title: One-loop holographic Weyl anomaly in six dimensions

Abstract

We compute O(1) corrections to the holographic Weyl anomaly for sixdimensional N = (1, 0) and (2, 0) theories using the functional Schr¨odinger method that is conjectured to work for supersymmetric theories on Ricci-flat backgrounds. We show that these corrections vanish for long representations of the N = (1, 0) theory, and we obtain an expression for δ(c - a) for short representations with maximum spin two. We also confirm that the one-loop corrections to the N = (2, 0) M5-brane theory are equal and opposite to the anomaly for the free tensor multiplet. Finally, we discuss the possibility of extending the results to encompass multiplets with spins greater than two.

Authors:
ORCiD logo [1];  [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor (United States); Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1506109
Alternate Identifier(s):
OSTI ID: 1648307
Grant/Contract Number:  
SC0007859
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 1; 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; Anomalies in Field and String Theories; Conformal Field Theory

Citation Formats

Liu, James T., and McPeak, Brian. One-loop holographic Weyl anomaly in six dimensions. United States: N. p., 2018. Web. doi:10.1007/jhep01(2018)149.
Liu, James T., & McPeak, Brian. One-loop holographic Weyl anomaly in six dimensions. United States. https://doi.org/10.1007/jhep01(2018)149
Liu, James T., and McPeak, Brian. 2018. "One-loop holographic Weyl anomaly in six dimensions". United States. https://doi.org/10.1007/jhep01(2018)149. https://www.osti.gov/servlets/purl/1506109.
@article{osti_1506109,
title = {One-loop holographic Weyl anomaly in six dimensions},
author = {Liu, James T. and McPeak, Brian},
abstractNote = {We compute O(1) corrections to the holographic Weyl anomaly for sixdimensional N = (1, 0) and (2, 0) theories using the functional Schr¨odinger method that is conjectured to work for supersymmetric theories on Ricci-flat backgrounds. We show that these corrections vanish for long representations of the N = (1, 0) theory, and we obtain an expression for δ(c - a) for short representations with maximum spin two. We also confirm that the one-loop corrections to the N = (2, 0) M5-brane theory are equal and opposite to the anomaly for the free tensor multiplet. Finally, we discuss the possibility of extending the results to encompass multiplets with spins greater than two.},
doi = {10.1007/jhep01(2018)149},
url = {https://www.osti.gov/biblio/1506109}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 1,
volume = 2018,
place = {United States},
year = {Tue Jan 30 00:00:00 EST 2018},
month = {Tue Jan 30 00:00:00 EST 2018}
}

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Cited by: 6 works
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Works referencing / citing this record:

Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all
journal, February 2019