Duality Symmetry in Momentum Frame

Details Duality Symmetry in Momentum Frame Duality Symmetry in Momentum Frame

2001-05-03

arxiv.org/abs/hep-th/0105029v3

Phys.Rev. D65 (2002) 085027

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.65.085027

Siegel's action is generalized to the D=2(p+1) (p even) dimensional space-time. The investigation of self-duality of chiral p-forms is extended to the momentum frame, using Siegel's action of chiral bosons in two space-time dimensions and its generalization in higher dimensions as examples. The whole procedure of investigation is realized in the momentum space which relates to the configuration space through the Fourier transformation of fields. These actions correspond to non-local Lagrangians in the momentum frame. The self-duality of them with respect to dualization of chiral fields is uncovered. The relationship between two self-dual tensors in momentum space, whose similar form appears in configuration space, plays an important role in the calculation, that is, its application realizes solving algebraically an integral equation.

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