ar X iv : h ep - t h / 93 10 11 7 v 1 1 9 O ct 1 99 3 QUANTUM κ - POINCARE IN ANY DIMENSION

ar X iv : h ep - t h / 93 10 18 7 v 2 3 1 O ct 1 99 3 CONFORMAL FIELD THEORY and GEOMETRY of STRINGS

What is quantum geometry? This question is becoming a popular leitmotiv in theoretical physics and in mathematics. Conformal field theory may catch a glimpse of the right answer. We review global aspects of the geometry of conformal fields, such as duality and mirror symmetry, and interpret them within Connes’ non-commutative geometry.

ar X iv : h ep - p h / 99 10 24 8 v 1 6 O ct 1 99 9 1 Effect of σ ( 600 ) - Production in pp̄ → 3 π 0 at rest

ar X iv : h ep - l at / 9 71 00 52 v 1 1 3 O ct 1 99 7 1 Lattice Renormalization of Quark Operators ∗

We have technically improved the non-perturbative renormalization method, proposed by Martinelli et al., by using quark momentum sources and sinks. Composite two-fermion operators up to three derivatives have been measured for Wilson fermions and Sheikholeslami-Wohlert improved fermions in the quenched approximation. The calculations are performed in the Landau gauge on 16 3 32 lattices at β = ...

ar X iv : h ep - t h / 99 10 20 8 v 1 2 6 O ct 1 99 9 Domain walls in supersymmetric QCD

We consider domain walls that appear in supersymmetric SU (N) with one massive flavour. In particular, for N ≥ 3 we explicitly construct the elementary domain wall that interpolates between two contiguous vacua. We show that these solutions are BPS saturated for any value of the mass of the matter fields. We also comment on their large N limit and their relevance for supersymmetric gluodynamics.

ar X iv : h ep - t h / 96 02 01 3 v 1 3 F eb 1 99 6 Laughlin States on the Poincare half - plane and its quantum group symmetry

We find the Laughlin states of the electrons on the Poincare half-plane in different representations. In each case we show that there exist a quantum group su q (2) symmetry such that the Laughlin states are a representation of it. We calculate the corresponding filling factor by using the plasma analogy of the FQHE.