Oneloop holographic Weyl anomaly in six dimensions
We compute O(1) corrections to the holographic Weyl anomaly for sixdimensional N = (1, 0) and (2, 0) theories using the functional Schrödinger method that is conjectured to work for supersymmetric theories on Ricciflat 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 oneloop corrections to the N = (2, 0) M5brane 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:

^{[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 10298479
 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; AdSCFT Correspondence; Anomalies in Field and String Theories; Conformal Field Theory
 OSTI Identifier:
 1506109
Liu, James T., and McPeak, Brian. Oneloop holographic Weyl anomaly in six dimensions. United States: N. p.,
Web. doi:10.1007/jhep01(2018)149.
Liu, James T., & McPeak, Brian. Oneloop holographic Weyl anomaly in six dimensions. United States. doi:10.1007/jhep01(2018)149.
Liu, James T., and McPeak, Brian. 2018.
"Oneloop 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 = {Oneloop 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 Schrödinger method that is conjectured to work for supersymmetric theories on Ricciflat 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 oneloop corrections to the N = (2, 0) M5brane 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}
}