TO: SEMINARIO DI STRINGHE E SUPERGRAVITà: DEFORMED SYMMETRIES IN NONCOMMUTATIVE FIELD THEORIES
SESZIONE DI TORINO In this talk we discuss the problem of symmetries in
noncommutative field
theories. The twist approach is used to derive deformed symmetries.
In
this approach the algebra of symmetry generators remains undeformed,
but the Leibniz rules for the generators change. We give some
examples. In
the case of the
canonically deformed space the twisted Poincare and diffeomorphism
invariance are derived. The twisted diffeomorphism invariance enables
the
construction of the deformed gravity theory. By applying the twist
approach to the superspace we obtain the nonanticommutative
superspace.
A deformation of the Wess-Zumino model is then discussed.
DATA: 05-02-2008
Istituto Nazionale di Fisica
Nucleare - Piazza dei Caprettari, 70 -
00186 Roma
tel. +39 066840031 - fax +39 0668307924 - email: presidenza@presid.infn.it