Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-01-27
Physics
High Energy Physics
High Energy Physics - Theory
20 pages; v2: minor corrections, refs added
Scientific paper
The free Maxwell theory in D<>4 dimensions provides a physical example of a unitary, scale invariant theory which is NOT conformally invariant. The easiest way to see this is that the field strength operator F_mn is neither a primary nor a descendant. We show how conformal multiplets can be completed, and conformality restored, by adding new local operators to the theory. In D>=5, this can only be done by sacrificing unitarity of the extended Hilbert space. We analyze the full symmetry structure of the extended theory, which turns out to be related to the OSp(D,2|2) superalgebra.
El-Showk Sheer
Nakayama Yu
Rychkov Slava
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