7 research outputs found
Noncommutative with Quantized Cosmological Constant
We examine a recent deformation of three-dimensional anti-deSitter gravity
based on noncommutative Chern-Simons theory with gauge group . In addition to a noncommutative analogue of 3D gravity, the theory
contains two addition gauge fields which decouple in the commutative limit. It
is well known that the level is quantized in noncommutative Chern-Simons
theory. Here it implies that the cosmological constant goes like minus one over
an integer-squared. We construct the noncommutative vacuum by applying
a Seiberg-Witten map from the commutative case. The procedure is repeated for
the case of a conical space resulting from a massive spinning particle.Comment: 16 p
Twists in U(sl(3)) and their quantizations
The solution of the Drinfeld equation corresponding to the full set of
different carrier subalgebras in sl(3) are explicitly constructed. The obtained
Hopf structures are studied. It is demonstrated that the presented twist
deformations can be considered as limits of the corresponding quantum analogues
(q-twists) defined for the q-quantized algebras.Comment: 31 pages, Latex 2e, to be published in Journ. Phys. A: Math. Ge
Twisted Grosse-Wulkenhaar model: dynamical noncommutativity and Noether currents
This paper addresses the computation of Noether currrents for the
renormalizable Grosse-Wulkenhaar (GW) model subjected to a
dynamical noncomutativity realized through a twisted Moyal product. The
noncommutative (NC) energy-momentum tensor (EMT), angular momentum tensor (AMT)
and the dilatation current (DC) are explicitly derived. The breaking of
translation and rotation invariances has been avoided via a constraint
equation
Voros product and the Pauli principle at low energies
Using the Voros star product, we investigate the status of the two particle
correlation function to study the possible extent to which the previously
proposed violation of the Pauli principle may impact at low energies. The
results show interesting features which are not present in the computations
made using the Moyal star product.Comment: 5 pages LateX, minor correction