ar X iv : h ep - t h / 05 12 11 4 v 3 1 5 Ju n 20 07 κ - Minkowski representations on Hilbert spaces February 1 , 2008

ar X iv : h ep - t h / 05 12 11 4 v 2 1 3 Ju n 20 07 κ - Minkowski representations on Hilbert spaces April 12 , 2008

The algebra of functions on κ-Minkowski noncommutative spacetime is studied as algebra of operators on Hilbert spaces. The representations of this algebra are constructed and classified. This new approach leads to a natural construction of integration in κ-Minkowski spacetime in terms of the usual trace of operators.

ar X iv : h ep - t h / 05 12 11 4 v 1 9 D ec 2 00 5 κ - Minkowski operators on Hilbert spaces April 12 , 2008

The algebra of functions on κ-Minkowski noncommutative spacetime is studied as algebra of operators on Hilbert spaces. The representations of this algebra are constructed and classified. This new approach leads to a natural construction of integration in κ-Minkowski spacetime defined in terms of the usual trace of operators.

ar X iv : h ep - t h / 05 06 19 5 v 1 2 3 Ju n 20 05 Geometric transitions and mixed Hodge structures

We formulate and prove a B-model disc level large N duality result for general conifold transitions between compact Calabi-Yau spaces using degenerations of Hodge structures.

ar X iv : h ep - t h / 05 01 01 7 v 1 4 J an 2 00 5 Lorentz invariance of scalar field action on κ - Minkowski space - time

We construct field theory on noncommutative κ-Minkowski spacetime. Having the Lorentz action on the noncommutative space-time coordinates we show that the field lagrangian is invariant. We show that noncommutativity requires replacing the Leibnitz rule with the coproduct one.

ar X iv : h ep - p h / 05 06 11 1 v 2 1 4 Ju n 20 05 Transverse positron polarization in the μ + → e + ν̄ μ ν e decay in