Noncommutative Lorentz Symmetry & the Seiberg-Witten Map

  • J. Grimstrup
ITP - Hörsaal 1 Universität Leipzig, ITP (Leipzig)


In commutative gauge theory one finds two representations of the conformal transformations, a `primitive' and a `covariant' related to the canonical and the symmetrical energy-momentum tensor, respectively. In noncommutative Yang-Mills theory one finds the same two representation provided one also transforms the noncommutative tensor theta. We find a surprising relation between covariant coordinates, the Seiberg-Witten map and the noncommutative, covariant representation of the (rigid) conformal transformations.

25.09.01 29.09.01

Noncommutative Geometry, Strings and Renormalization

Universität Leipzig, ITP ITP - Hörsaal 1

H. Grosse

G. Rudolph

Klaus Sibold

Julius Wess

Eberhard Zeidler