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Self-dual models in D=2+1 from dimensional reduction
(2021-11-01)
Here we perform a Kaluza–Klein dimensional reduction of Vasiliev's first-order description of massless spin-s particles from D=3+1 to D=2+1 and derive first-order self-dual models describing particles with helicities ±s ...
Higher order selfdual toric varieties
(Springer Heidelberg, 2017-10)
The notion of higher order dual varieties of a projective variety, introduced in Piene [Singularities, part 2, (Arcata, Calif., 1981), Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Providence, ...
Higher order duality and toric embeddingsDualité d’ordre supérieur et immersions toriques
(Annales Inst Fourier, 2014-08)
The notion of higher order dual varieties of a projective variety, introduced by Piene in 1983, is a natural generalization of the classical notion of projective duality. In this paper we study higher order dual varieties ...
Higher order self-dual models for spin-3 particles in D=2+1
(2018-01-01)
In D=2+1 dimensions, elementary particles of a given helicity can be described by local Lagrangians (parity singlets). By means of a soldering procedure, two opposite helicities can be joined together and give rise to ...
A new spin-2 self-dual model in D=2+1
(Int School Advanced Studies, 2009-09-01)
There are three self-dual models of massive particles of helicity + 2 (or -2) in D = 2 + 1. Each model is of first, second, and third-order in derivatives. Here we derive a new self-dual model of fourth-order, L(SD)((4)), ...
Generating Higher-Order Lie Algebras by Expanding Maurer Cartan Forms
(Cornell University Library, 2015)
A note on the ubiquity of the traceless spin connection in dual massive spin-2 theories
(2016-03-11)
There are three families of second-order (in derivatives) models for massive spin-2 particles via a nonsymmetric rank-2 tensor. Each family depends upon an arbitrary real parameter. One of the families includes the usual ...
Unitarity of higher derivative spin-3 models
(2020-03-01)
The fourth order in derivatives New Massive Gravity model NMG, describes a massive spin-2 particle in D=2+1. At the linearized level a proof of unitarity necessarily implies that the generalization to higher dimensions ...
Higher spin analogs of linearized topologically massive gravity and linearized new massive gravity
(2021-10-15)
We suggest a new spin-4 self-dual model (parity singlet) and a new spin-4 parity doublet in D=2+1. They are of higher order in derivatives and are described by a totally symmetric rank-4 tensor without extra auxiliary ...