ar X iv : m at h / 02 08 04 3 v 1 [ m at h . Q A ] 6 A ug 2 00 2 QUANTUM AFFINE

ar X iv : q ua nt - p h / 02 03 04 6 v 1 1 1 M ar 2 00 2 Quantum imaging

We provide a brief overview of the newly born field of quantum imaging, and discuss some concepts that lie at the root of this field.

ar X iv : m at h / 04 02 33 0 v 4 [ m at h . Q A ] 2 A ug 2 00 5 ASSOCIATIVE CONFORMAL ALGEBRAS WITH FINITE FAITHFUL REPRESENTATION

We describe irreducible conformal subalgebras of CendN and build the structure theory of associative conformal algebras with finite faithful representation.

ar X iv : m at h / 02 08 11 9 v 3 [ m at h . A G ] 1 9 A ug 2 00 2 GEOMETRY OF THE TETRAHEDRON SPACE

Let X be the space of all labeled tetrahedra in P. In [1] we constructed a smooth symmetric compactification X̃ of X. In this article we show that the complement X̃ r X is a divisor with normal crossings, and we compute the cohomology ring H(X̃ ;Q).

ar X iv : h ep - t h / 03 08 04 6 v 1 6 A ug 2 00 3 RUNHETC - 2003 - 24 CU - TP - 1092 Freund - Rubin Revisited

We utilise the duality between M theory and Type IIA string theory to show the existence of Freund-Rubin compactifications of M theory on 7-manifolds with singularities supporting chiral fermions. This leads to a concrete way to study phenomenologically interesting quantum gravity vacua using a holographically dual three dimensional field theory. bacharya, denef, hofman, [email protected]...

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