Fe b 20 06 Invariant triple products

Fe b 20 06 Invariant triple products Anton Deitmar 2005

ar X iv : m at h / 06 02 39 4 v 1 [ m at h . G T ] 1 7 Fe b 20 06 MODULAR FIBERS AND ILLUMINATION PROBLEMS

For a Veech surface (X, ω), we characterize Aff + (X, ω) invariant subspaces of X n and prove that non-arithmetic Veech surfaces have only finitely many invariant subspaces of very particular shape (in any dimension). Among other consequences we find copies of (X, ω) embedded in the moduli-space of translation surfaces. We study illumination problems in (pre-)lattice surfaces. For (X, ω) prelat...

ar X iv : h ep - t h / 00 11 06 4 v 3 1 7 Fe b 20 04 Geometrization of the Quantum Effects

We present a conformally invariant generalized form of the free particle action by connecting the wave and particle aspects through gravity. Conformal invariance breaking is introduced by choosing a particular configuration of dynamical variables. This leads to the geometrization of the quantum aspects of matter.

ar X iv : h ep - t h / 06 02 18 0 v 1 1 8 Fe b 20 06 Nonlinear Realization and Weyl Scale Invariant p = 2 Brane

The action of Weyl scale invariant p=2 brane which breaks the target super Weyl scale symmetry in the N=1, D=4 superspace down to the lower dimensional Weyl symmetry W (1, 2) is constructed by the approach of nonlinear realization. The interactions of localized matter fields on the brane with the Nambu-Goldstone fields associated with the breaking of the symmetries in the superspace and one spa...

Fe b 20 06 MODULAR FIBERS AND ILLUMINATION PROBLEMS

For a Veech surface (X, ω), we characterize Aff + (X, ω) invariant subspaces of X n and prove that non-arithmetic Veech surfaces have only finitely many invariant subspaces of very particular shape (in any dimension). Among other consequences we find copies of (X, ω) embedded in the moduli-space of translation surfaces. We study illumination problems in (pre-)lattice surfaces. For (X, ω) prelat...