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Title: One-loop holographic Weyl anomaly in six dimensions

We compute O(1) corrections to the holographic Weyl anomaly for six-dimensional N = (1, 0) and (2, 0) theories using the functional Schrödinger 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:
Grant/Contract Number:
SC0007859
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Michigan, Ann Arbor (United States)
Sponsoring Org:
USDOE Office of Science (SC)
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
OSTI Identifier:
1506109

Liu, James T., and McPeak, Brian. One-loop holographic Weyl anomaly in six dimensions. United States: N. p., Web. doi:10.1007/jhep01(2018)149.
Liu, James T., & McPeak, Brian. One-loop holographic Weyl anomaly in six dimensions. United States. doi:10.1007/jhep01(2018)149.
Liu, James T., and McPeak, Brian. 2018. "One-loop holographic Weyl anomaly in six dimensions". United States. doi: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 six-dimensional N = (1, 0) and (2, 0) theories using the functional Schrödinger 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},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}