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:
-
- 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}
}
Web of Science
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Works referencing / citing this record:
Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all
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Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all
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