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21 August, 2016

posted 21 Aug 2016, 08:34 by Scott Melville   [ updated 21 Aug 2016, 08:35 ]
Manifest Duality for Partially Massless Higher Spins
(45 pages)

By writing the theory of a partially massless spin-s field in a first order formalism, and defining the associated generalised curvature, one can construct dualities which are analogous to the electric-magnetic duality in massless spin-1 D=4. A symmetric s-index gauge field is dual to another partially massless s-index gauge field, for all spins s and depths t.


On curved backgrounds, the underlying (A)dS group has spin-s representations for which gauge invariances remove 2t+1 of the 2s+1 helicity components. These are called partially massless fields of depth t. For massless spin-1 fields, we have a gauge invariant Maxwell field strength and an electromagnetic duality. For massless spin-2, we analogously have the Riemann curvature tensor and dual (Weyl tensor). Here, the authors have generalised to partially massless fields of arbitrary spin and depth, defining generalised curvatures and dualities.

arXiv:1608.05281 (RE:1306.1835)
Stability in higher-derivative matter field theories
(7 pages)

Previously, 1306.1835 has proposed higher-derivative matter fields, and can be written via non-dynamical auxiliary fields. In such a theory, there are two free parameters. Demanding stability of a Minkowski vacuum, as well as the absence of tachyons, places bounds on these parameters.


One can interpret such non-conventional higher-derivative matter fields as a modification to gravity. These considerations restrict this possible modification to GR. The two bounds derived here are necessary, but by no mean sufficient - the parameter space of these higher-derivative theories is potentially very restricted.