Weyl versus conformal invariance in quantum field theory

Farnsworth, Kara; Luty, Markus A.; Prilepina, Valentina

doi:10.1007/jhep10(2017)170

Title: Weyl versus conformal invariance in quantum field theory

Journal Article · Tue Oct 24 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2017)170· OSTI ID:1505198

Farnsworth, Kara ^[1]; Luty, Markus A. ^[1]; Prilepina, Valentina ^[1]

Univ. of California, Davis, CA (United States). Center for Quantum Mathematics and Physics (QMAP), Dept. of Physics

We argue that conformal invariance in flat spacetime implies Weyl invariance in a general curved background metric for all unitary theories in spacetime dimensions d ≤ 10. We also study possible curvature corrections to the Weyl transformations of operators, and show that these are absent for operators of sufficiently low dimensionality and spin. We find possible ‘anomalous’ Weyl transformations proportional to the Weyl (Cotton) tensor for d > 3 (d = 3). The arguments are based on algebraic consistency conditions similar to the Wess-Zumino consistency conditions that classify possible local anomalies. The arguments can be straightforwardly extended to larger operator dimensions and higher d with additional algebraic complexity.

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Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-91ER40674

OSTI ID:: 1505198

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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