/ 99 05 02 6 v 1 6 M ay 1 99 9 April , 1999 The Faddeev - Jackiw Approach and the Affine sl ( 2 ) Toda Model Coupled to Matter Field

ep - t h / 99 05 02 6 v 2 1 7 Ju n 19 99 June , 1999 The Faddeev - Jackiw Approach and the Conformal Affine sl ( 2 ) Toda Model Coupled to Matter Field

The conformal 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 gauge fix...

ar X iv : a st ro - p h / 92 05 00 5 v 1 9 M ay 1 99 2 UCSBTH – 92 – 05 April 1992 CHAOTIC DARK MATTER

A very weakly coupled scalar field with mass m and initial vacuum expectation value V will provide enough mass to close the universe provided V ≃ (3 × 10 8 GeV)(100 GeV/m) 1/4. We discuss possible models in which such a field could arise. (a) Electronic address (internet): [email protected].

ar X iv : a st ro - p h / 99 05 37 6 v 1 2 8 M ay 1 99 9 A 6 . 4 - hr positive superhump period in TV

ar X iv : m at h / 99 05 02 6 v 1 [ m at h . A G ] 5 M ay 1 99 9 DIFFERENTIAL EQUATIONS CHARACTERISING QUASI - PERIODIC SOLUTIONS OF THE KP HIERARCHY

We compute an infinite system of differential equations that characterises the quasi-periodic solutions of the KP hierarchy ; that is, the solutions of this new hierarchy are precisely those solutions of the KP hierarchy coming from theta functions of Jacobians.

ar X iv : h ep - t h / 99 05 21 1 v 1 2 7 M ay 1 99 9 hep - th / 9905211 HUTP - 99 / A 023 Holography for Coset Spaces

M/string theory on noncompact, negatively curved, cosets which generalize AdSD+1 = SO(D, 2)/SO(D, 1) is considered. Holographic descriptions in terms of a conformal field theory on the boundary of the spacetime are proposed. Examples include SU(2, 1)/U(2), which is a Euclidean signature (4, 0) space with no supersymmetry, and SO(2, 2)/SO(2) and SO(3, 2)/SO(3), which are Lorentzian signature (4,...