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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, ...
Self-dual toric varieties
(Oxford University Press, 2011-12)
Let T be a torus over an algebraically closed field k of characteristic 0, and consider a projective T -module P ( V ). We determine when a projective toric subvariety X ⊂ P ( V ) is self-dual, in terms of the configuration ...
Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Equivalence between supersymmetric self-dual and Maxwell-Chern-Simons models coupled to a matter spinor superfield
(ELSEVIER SCIENCE BV, 2009)
We study the duality of the supersymmetric self-dual and Maxwell-Chern-Simons theories coupled to a fermionic matter superfield, using a master action. This approach evades the difficulties inherent to the quartic couplings ...
NEW CLASSES OF TOPOLOGICAL QUANTUM CODES ASSOCIATED WITH SELF-DUAL, QUASI SELF-DUAL AND DENSER TESSELLATIONS
(Rinton Press, IncParamusEUA, 2010)
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)), ...
Covariant field theory for self-dual strings
(1997-11-10)
We give a gauge and manifestly SO(2,2) covariant formulation of the field theory of the self-dual string. The string fields are gauge connections that turn the super-Virasoro generators into covariant derivatives, © 1997 ...
On the coupling of the self-dual field to dynamical U(1) matter and its dual theory
(Iop Publishing Ltd, 2004-02-13)
We consider arbitrary U (1) charged matter non-minimally coupled to the self-dual field in d = 2 + 1. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both Lagragian gauge ...
Quantum equivalence between the self-dual and the Maxwell-Chern-Simons models nonlinearly coupled to U(1) scalar fields
(Iop Publishing Ltd, 2006-07-21)
The use of master actions to prove duality at quantum level becomes cumbersome if one of the dual fields interacts nonlinearly with other fields. This is the case of the theory considered here consisting of U(1) scalar ...