ar X iv : h ep - t h / 03 01 05 6 v 1 9 J an 2 00 3 κ - Deformations of D = 3 Conformal Versus Deformations of D = 4 AdS Symmetries

ar X iv : h ep - t h / 03 01 05 6 v 2 2 3 Ja n 20 03 κ - Deformations of D = 3 Conformal Versus Deformations of D = 4 AdS Symmetries

We describe the classical o(3, 2) r-matrices as generating the quantum deformations of either D=3 conformal algebra with mass-like deformation parameters or D=4 AdS algebra with dimensionless deformation parameters. We describe the quantization of classical o(3, 2) r-matrices via Drinfeld twist method which locates the deformation in the coalgebra sector. Further we obtain the quantum o(3, 2) a...

ar X iv : h ep - t h / 02 03 18 2 v 2 2 7 Ju n 20 03 κ - deformations of D = 4 Weyl and conformal symmetries ∗

We provide first explicite examples of quantum deformations of D = 4 conformal algebra with mass-like deformation parameters, in applications to quantum gravity effects related with Planck mass. It is shown that one of the classical r-matrices defined on the Borel subalgebra of sl(4) with o(4, 2) reality conditions describes the light-cone κ-deformation of D = 4 Poincaré algebra. We embed this ...

ar X iv : h ep - t h / 05 03 22 3 v 1 2 9 M ar 2 00 5 Probing the 5 th Dimension with the QCD String ∗

A salient feature of String/Gauge duality is an extra 5th dimension. Here we study the effect of confining deformations of AdS and compute the spectrum of a string stretched between infinitely massive quarks and compare it with the quantum states of the QCD flux as determined by Kuti, Juge and Morningstar in lattice simulations. In the long flux tube limit the AdS string probes the metric near ...

ar X iv : h ep - t h / 99 03 05 4 v 2 2 0 O ct 1 99 9 INJE - TP - 99 - 2 Scattering from an AdS 3 bubble and an exact AdS

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.