ep - t h / 99 11 03 1 v 1 4 N ov 1 99 9 INJE - TP - 99 - 7 Noncommutative spacetime and the fractional quantum Hall effect

N ov 1 99 9 INJE - TP - 99 - 7 Noncommutative spacetime and the fractional quantum Hall effect

We propose the two formalisms for obtaining the noncommutative spacetime in a magnetic field. One is the first-order formalism and the other is the second-order formalism. Although the noncommutative spacetime is realized manifestly in the first-order formalism, the second-order formalism would be more useful for calculating the physical quantities in the noncommutative geometry than the first-...

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 11 02 7 v 1 4 N ov 1 99 9 Holography and the Future Tube

The Future Tube T + n of n-dimensional Minkowski spacetime may be identified with the reduced phase space P , or " space of motions " of a particle moving in (n + 1)-dimensional Anti-de-Sitter Spacetime. Both are isomorphic to a homogeneous bounded domain in C n whose Shilov boundary may be identified with n-dimensional conformally compactified Minkowski spacetime.

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 05 22 9 v 11 1 5 N ov 1 99 9 Fractons and Fractal Statistics ∗

Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE ) and the concept of duality between such classes, defined by h̃ = 3−h shows us that the filling factors for which the FQHE we...