One-loop holographic Weyl anomaly in six dimensions

Liu, James T.; McPeak, Brian

doi:10.1007/jhep01(2018)149

Title: One-loop holographic Weyl anomaly in six dimensions

Journal Article · Tue Jan 30 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep01(2018)149· OSTI ID:1506109

^[1]; McPeak, Brian ^[1]

Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics

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.

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Research Organization:: Univ. of Michigan, Ann Arbor (United States); Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0007859

OSTI ID:: 1506109

Alternate ID(s):: OSTI ID: 1648307

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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Cited By (2)

Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all Bugini, F.; Diaz, D. E. Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)188	journal	February 2019
Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all Bugini, F.; Díaz, D. E. arXiv https://doi.org/10.48550/arxiv.1811.10380	text	January 2018

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