The author studies a family of two-dimensional Jackiw--Teitelboim (JT) supergravites, and, by using string theory techniques, he gives them complete definition to all orders in the topological expansion. This construction provides non--perturbative formulation for JT supergravity that is well--defined and stable. Furthermore, combination analytical numerical methods, shows explicitly how physic...

We formulate the path integral for Jackiw-Teitelboim gravity in second order formalism working directly with metric and dilaton. consider theory both Anti-de Sitter(AdS) de Sitter space(dS) analyze disk topology "double trumpet" two boundaries. also its behavior presence of conformal matter. In dS case evaluates wavefunction universe which arises no-boundary proposal. asymptotic AdS or limit wi...

We consider the Foldy-Whouthuysen (FW) transformation of Dirac equation coupled to a background soliton field which is equivalent position-dependent massm(x) such that at each limit x → ±∞, mass left and right tends (possibly different) constant, with sign difference side. then build-up third order unitarily transformed Schrödinger-like Hamiltonian as counterpart corresponding well known Jackiw...

A novel BRST quantization is described, which is applied in generalizing the JackiwNair construction of anyon. We have explicitly shown that the matter states connected to an unconventional ("non-zero") BRST ghost sector are physical. They are identi ed to the Jackiw-Nair system in a particular gauge. Also for the rst time an indepth analysis of the present kind for a reducible constraint syste...