We study canonical quantization of Jackiw-Teibelboim (JT) gravity coupled to a massless scalar field. provide concrete expressions matter SL(2,{\,\bf R}) charges and the boundary operators in terms creation annihilation The are represented form an oscillator (Jordon-Schwinger) realization algebra. also show how gauge constraints implemented classically, by matching explicitly classical solution...

We study a Jackiw-Teitelboim (JT) supergravity theory, defined as Euclidean path integral over orientable supermanifolds with constant negative curvature, which was argued by Stanford and Witten to be captured random matrix model in the $\mathbit{\ensuremath{\beta}}=2$ Dyson-Wigner class. show that theory is double-cut tuned critical point where two cuts coalesce. Our formulation fully nonpertu...

We investigate the ABJ anomaly in the framework of an effective field theory for a D3-brane scenario and show that the contribution from induced gravity on the brane may depend on both the topological structure of the bulk spacetime and the dynamics of the brane. Furthermore, we argue that this axial gravitational anomaly may not necessarily be cancelled by choosing the matter content on the br...

By using φ-mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortex solution and topological number which is determined by Hopf index and Brouwer degree. We also give the quantization of flux in this case. Then, we study the angular momentum of the vortex, it...

The affine sl 2 Toda model coupled to matter field is treated as a constrained system in the context of Faddeev-Jackiw and the (constrained) symplectic schemes. We recover from this theory either, the sine-Gordon or the massive Thirring model, through a process of Hamiltonian reduction, considering the equivalence of the Noether and topological currrents as a constraint and symmetry breaking of...

By using φ-mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortex solution and topological number which is determined by Hopf index and Brouwer degree. We also give the quantization of flux in this case. Then, we study the angular momentum of the vortex, it...

The topological susceptibility of QCD vacuum is studied in the framework of a covariant chiral quark model with non-local quark-quark interaction. The relation of the first moment of topological susceptibility χ(0) and the ’spin crisis’ problem is briefly discussed. It is shown, in particular, that one always gets the inequality χ(0) > χOZI . It is well known that due to UA (1) axial Adler-Bell...

Hamilton-Jacobi formalism is used to study 2D-gravity and its SL(2, R) hidden symmetry. If the contribution of the surface term is considered the obtained results coincide with those given by the Dirac and Faddeev-Jackiw approaches. On leave of absence from Institute of Space Sciences, P.O BOX, MG-23, R 76900 Magurele-Bucharest, Romania, E-mail: [email protected] E-Mail: [email protected]...