We show that the constraint structure in the chain by chain method can be investigated within the symplectic analysis of Faddeev-Jackiw formalism. e-mail: [email protected] e-mail: [email protected]

The problem of a harmonic oscillator coupling to an electromagnetic potential plus a topological-like (Chern-Simons) massive term, in two-dimensional space, is studied in the light of the symplectic formalism proposed by Faddeev and Jackiw for constrained systems.

A bstract We develop the gauge theory formulation of $$ \mathcal{N} N = 1 Jackiw-Teitelboim supergravity in terms underlying OSp(1|2 , ℝ) supergroup, focusing on boundary dynamics and exact structure gravitational amplitudes. prove that BF description reduces to a super-Schwarzian quantum mechanics holographi...

In a series of two papers we present the theoretical results of πN/meson-baryon scattering in the Kadyshevsky formalism. In this paper the results are given for meson exchange diagrams. On the formal side we show, by means of an example, how general couplings, i.e. couplings containing multiple derivatives and/or higher spin fields, should be treated. We do this by introducing and applying the ...

Abstract By using the gauge potential decomposition, we discuss the self-dual equation and its solution in Jackiw-Pi model. We obtain a new concrete self-dual equation and find relationship between Chern-Simons vortices solution and topological number which is determined by Hopf indices and Brouwer degrees of Ψ-mapping. To show the meaning of topological number we give several figures with diff...

The vortex solutions of various classical planar field theories with (abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure Chern-Simons theory with both topological and non-topological...

We introduce the colored version of Jackiw-Teitelboim (JT) gravity which is two-dimensional dilaton model with matrix-valued fields. It straightforwardly formulated in terms BF action $su(N,N)$ gauge algebra so that standard JT embedded as $su(1,1) \subset su(N,N)$ subsector. also elaborate on respective metric formulation shown to involve fields plus $su(N)$ non-Abelian well $su(N)$-matrix val...