It was proven recently that JT gravity can be defined as an ensemble of L x Hermitian matrices. We point out the eigenvalues matrix correspond in to FZZT-type boundaries on which spacetimes end. then investigate matrices with 1<<N<<L held fixed. This corresponds a version includes N FZZT type path integral contour and is found emulate discrete quantum chaotic system. In particular this capture ...

Chiral bosons are important building blocks in the study of supergravity, string theory and quantum Hall effect. Along the last two decades many different formulations have appeared trying to describe the dynamics and the quantization of these curious objects. However two of them have gain special attention among people working on this area: the gauge invariant formulation proposed by Siegel an...

A Bäcklund transformation yielding the static non-relativistic Chern-Simons vortices of Jackiw and Pi is presented. (20/2/1996) Submitted to the Phy. Rev. D PACS numbers: 0365.GE, 11.10.Lm, 11.15.-q

A slightly modified and regularized version of the non-relativistic limit of the relativistic anyon model considered by Jackiw and Nair yields particles associated with the twofold central extension of the Galilei group, with independent spin and exotic structure.

The general conditions for the applicability of the Faddeev-Jackiw approach to gauge theories are studied. When the constraints are effective a new proof in the Lagrangian framework of the equivalence between this method and the Dirac approach is given. We find, however, that the two methods may give different descriptions for the reduced phase space when ineffective constraints are present. In...

The Faddeev-Jackiw Hamiltonian Reduction approach to constrained dynamics is applied to the collective coordinates analysis of non-linear waves, and compared with the alternative procedure known as symplectic formalism. SWAT-147 January 1997 hep-th/9702040

The Jackiw-Rebbi model describes a one-dimensional Dirac field coupled to a soliton field and can be equivalently thought of as a model describing a Dirac field with a spatially dependent mass term. Neglecting the dynamics of the soliton field, a kink in the background soliton profile yields a topologically protected zero-energy mode for the field, which in turn leads to charge fractionalisatio...

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We argue that the nonrelativistic Hamiltonian of p x + ip y superconductor in two dimensions can be derived from th...