Gr@v Seminar - Mass Ladder Operators from Spacetime Conformal Symmetry - 8 novembro 2016

Mass Ladder Operators from Spacetime Conformal Symmetry

Masashi Kimura

CENTRA / IST

Abstract / Resumo

We introduce a novel type of ladder operators, which map a scalar field with a mass into another scalar field with a different mass. It is shown that such operators are constructed from closed conformal Killing vector fields $\zeta^\mu$ in arbitrary dimensions if $\zeta^\mu$ is the eigen vector of the Ricci tensor. As an example, we explicitly construct the ladder operators in $AdS_2$. It is also shown that in $AdS_n$, the ladder operators exist for any scalar field with the mass above the BF bound. Furthermore, we discuss a relation between Aretakis constants and the ladder operators.

8 de novembro de 2016 | 14:30

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GAP Room
Physics Department Aveiro University
Campus de Santiago
3810-183 Aveiro, Portugal