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AdS (super)projectors in three dimensions and partial masslessness

Jul 26, 2021

37 pages

Published in:

JHEP 10 (2021) 090

Published: Oct 12, 2021

e-Print:

2107.12201 [hep-th]

DOI:

10.1007/JHEP10(2021)090

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Abstract: (Springer)

We derive the transverse projection operators for fields with arbitrary integer and half-integer spin on three-dimensional anti-de Sitter space, AdS

_{3}

. The projectors are constructed in terms of the quadratic Casimir operators of the isometry group SO(2, 2) of AdS

_{3}

. Their poles are demonstrated to correspond to (partially) massless fields. As an application, we make use of the projectors to recast the conformal and topologically massive higher-spin actions in AdS

_{3}

into a manifestly gauge-invariant and factorised form. We also propose operators which isolate the component of a field that is transverse and carries a definite helicity. Such fields correspond to irreducible representations of SO(2, 2). Our results are then extended to the case of

\mathcal{N}

= 1 AdS

_{3}

supersymmetry.

Note:

37 pages; V2: New material added to conclusion, published version

Supergravity Models
Superspaces
operator: Casimir
mass: topological
invariance: gauge
group: isometry
transverse
spin: high
supersymmetry: 1
AdS(3)

References(50)

Figures(0)

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