ar X iv : h ep - t h / 05 08 04 7 v 1 7 A ug 2 00 5 SLE ( κ , ρ ) and Boundary Coulomb Gas

ar X iv : h ep - t h / 04 08 12 5 v 1 1 7 A ug 2 00 4 Field theoretic models on covariant quantum spaces

ar X iv : m at h / 05 05 36 8 v 1 [ m at h . PR ] 1 7 M ay 2 00 5 SLE coordinate changes

The purpose of this note is to describe a framework which unifies radial, chordal and dipolar SLE. When the definition of SLE(κ; ρ) is extended to the setting where the force points can be in the interior of the domain, radial SLE(κ) becomes chordal SLE(κ; ρ), with ρ = κ − 6, and vice versa. We also write down the martingales describing the Radon-Nykodim derivative of SLE(κ; ρ1, . . . , ρn) wit...

ar X iv : h ep - t h / 05 08 08 7 v 1 1 1 A ug 2 00 5 Fundamental Commutators in a Gravitational Field

We show how an induced invariance of the massless particle action can be used to construct an extension of the Heisenberg canonical commuta-tion relations in a non-commutative space-time.

X iv : m at h - ph / 0 50 40 57 v 2 6 J un 2 00 5 On Conformal Field Theory of SLE ( κ , ρ )

SLE(κ; ρ), a generalization of chordal Schramm-Löwner evolution (SLE), is discussed from the point of view of statistical mechanics and conformal field theory (CFT). Certain ratios of CFT correlation functions are shown to be martingales. The interpretation is that SLE(κ; ρ) describes an interface in a statistical mechanics model whose boundary conditions are created in the Coulomb gas formalis...

ar X iv : h ep - p h / 04 08 06 5 v 1 4 A ug 2 00 4 Study of the semileptonic decay