ar X iv : h ep - t h / 94 03 12 6 v 1 2 1 M ar 1 99 4 UU - ITP 01 / 94 HU - TFT - 93 - 65 hep -

ar X iv : h ep - t h / 06 03 12 5 v 1 1 5 M ar 2 00 6 hep - th / 0603125 ITP – UH – 05 / 06 Noncommutative Instantons on C

We construct explicit solutions of the Hermitian Yang-Mills equations on the noncommutative space C θ . In the commutative limit they coincide with the standard instantons on CP written in local coordinates.

ar X iv : h ep - t h / 94 12 15 6 v 1 1 8 D ec 1 99 4 Quantal Overlapping Resonance Criterion : the Pullen Edmonds Model

ar X iv : h ep - p h / 94 03 31 6 v 1 1 8 M ar 1 99 4 Large tanβ from SU ( 2 ) R Gauge Symmetry

Sufficient conditions for the relation tanβ ≃ m t /m b to hold in supersym-metric grand unified theories are formulated. Essential ingredients are the SU(2) R gauge symmetry and a discrete matter parity. The applicability of our conditions is illustrated by specific examples. Implications for neutrino masses are discussed.

ar X iv : h ep - t h / 94 11 03 9 v 1 5 N ov 1 99 4 DFTT - 44 / 94 November 1994 R - MATRIX FORMULATION OF THE QUANTUM INHOMOGENEOUS GROUPS

ar X iv : h ep - t h / 99 01 13 9 v 1 2 7 Ja n 19 99 hep - th / 9901139 SU - ITP - 9901 January 1999 Conformal Mechanics and the Virasoro Algebra

We demonstrate that any scale-invariant mechanics of one variable exhibits not only 0+1 conformal symmetry, but also the symmetries of a full Virasoro algebra. We discuss the implications for the adS/CFT correspondence.