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Electric-magnetic duality implies (global) conformal invarianceopen access

Authors
Moon, Sung-PilLee, Sang-JinLee, Ji-HyeOh, Jae-Hyuk
Issue Date
Aug-2015
Publisher
KOREAN PHYSICAL SOC
Keywords
Electric-magnetic duality; Conformal field theory
Citation
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.67, no.3, pp.427 - 432
Indexed
SCIE
SCOPUS
KCI
Journal Title
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
Volume
67
Number
3
Start Page
427
End Page
432
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/142939
DOI
10.3938/jkps.67.427
ISSN
0374-4884
Abstract
We have examined quantum theories of electric-magnetic duality-invariant vector fields enjoying classical conformal invariance in 4-dimensional flat spacetime. We extend Dirac's argument about "the conditions for a quantum field theory to be relativistic" to "those for a quantum theory to be conformal". We realize that electric-magnetic duality-invariant vector theories, together with classical conformal invariance defined in 4-d flat spacetime, are still conformally invariant theories when they are quantized in a way that electric magnetic-duality is manifest.
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