Script N = 1 supersymmetric path-integral Poisson-Lie duality

Hjelmeland, Svend E.; Lindström, Ulf

doi:10.1088/1126-6708/2001/04/027

Cited by 9 publications

(14 citation statements)

References 20 publications

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“…Similar to the passage from the intermediate action (12) to the Cremmer-Scherk model (13), the integration over W μν in (56) results in the fourth-order BR model [24] S (4) BR = d D x −…”

Section: The Massive Br Modelmentioning

confidence: 99%

“…The purpose of the present work is to investigate massive spin-2 dual models by means of a dual parent action and present the known models and a new one in a unified way starting from the same parent action. The parent action method is reviewed in [12] in the context of the duality between massless p-forms and (D − 2 − p)-forms in D dimensions. It is also used in [13] for obtaining dual models for massless spin-s particles of arbitrary integer spins s 2.…”

Section: Introductionmentioning

confidence: 99%

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More on dual actions for massive spin-2 particles

Dalmazi¹,

Santos²

2020

Class. Quantum Grav.

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Here we start from a dual version of Vasiliev’s first order action for massless spin-2 particles (linearized first order Einstein–Hilbert) and derive, via Kaluza–Klein dimensional reduction from D + 1 to D dimensions, a set of dual massive spin-2 models. This set includes the massive ‘BR’ model, a spin-2 analogue of the spin-1 Cremmer–Scherk model. In our approach the linearized Riemann curvature emerges from a solution of a functional constraint. In D = 2 + 1 the BR model can be written as a linearized version of a new bimetric model for massive gravitons. We also have a new massive spin-2 model, in arbitrary dimensions, invariant under linearized diffeomorphisms. It is given in terms of a non symmetric rank-2 tensor and a mixed symmetry tensor.

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Section: The Massive Br Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

More on dual actions for massive spin-2 particles

Dalmazi¹,

Santos²

2020

Class. Quantum Grav.

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“…[13] Here we just simply summarize the procedure of this approach. For the details on its historical background and its significance in field theory and string theory, see Ref.…”

Section: Duality Symmetrymentioning

confidence: 99%

Interacting Theory of Chiral Bosons and Gauge Fields on Noncommutative Extended Minkowski Spacetime

Miao¹,

Zhao²

2012

Commun. Theor. Phys.

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Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity. The models include the bosonized chiral Schwinger model, the generalized chiral Schwinger model (GCSM) and its gauge invariant formulation. We establish the Lagrangian theories of the models, and then derive the Hamilton's equations in accordance with the Dirac's method and solve the equations of motion, and further analyze the self-duality of the Lagrangian theories in terms of the parent action approach.

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“…Duality, which is the equivalence between different mathematical description of the same physics, has been extensively considered in physics [3]. One of the most interesting features of duality is the possibility of changes in the coupling regimes, for instance, a weak (strong) coupling in one model has an strong (weak) coupling in the corresponding model.…”

Section: Introductionmentioning

confidence: 99%

Simple prescription for computing the nonrelativistic interparticle potential energy related to dual models

Gracia

Brito

2016

Int. J. Mod. Phys. A

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Following a procedure recently utilized by Accioly et al. to obtain the D-dimensional interparticle potential energy for electromagnetic models in the nonrelativistic limit, and relaxing the condition assumed by the authors concerning the conservation of the external current, the prescription found out by them is generalized so that dual models can also be contemplated. Specific models in which the interaction is mediated by a spin-0 particle described first by a vector field and then by a higher-derivative vector field, are analyzed. Systems mediated by spin-1 particles described, respectively, by symmetric rank-2 tensors, symmetric rank-2 tensors augmented by higher derivatives, and antisymmetric rank-2 tensors, are considered as well.

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Script N = 1 supersymmetric path-integral Poisson-Lie duality

Cited by 9 publications

References 20 publications

More on dual actions for massive spin-2 particles

More on dual actions for massive spin-2 particles

Interacting Theory of Chiral Bosons and Gauge Fields on Noncommutative Extended Minkowski Spacetime

Simple prescription for computing the nonrelativistic interparticle potential energy related to dual models

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