6 M ay 2 00 6 Noncommutative Maslov Index and Eta - Forms

ar X iv : h ep - t h / 00 05 02 6 v 2 2 6 M ay 2 00 0 UG - 00 - 01 A Noncommutative M – Theory Five – brane

We investigate, in a certain decoupling limit, the effect of having a constant C– field on the M–theory five–brane using an open membrane probe. We define an open membrane metric for the five–brane that remains non–degenerate in the limit. The canonical quantisation of the open membrane boundary leads to a noncommutative loop space which is a functional analogue of the noncommutative geometry t...

0 M ay 2 00 3 On the canonically invariant calculation of Maslov indices

After a short review of various ways to calculate the Maslov index appearing in semiclassical Gutzwiller type trace formulae, we discuss a coordinate-independent and canonically invariant formulation recently proposed by A Sugita (2000, 2001). We give explicit formulae for its ingredients and test them numerically for periodic orbits in several Hamiltonian systems with mixed dynamics. We demons...

ar X iv : h ep - t h / 05 05 24 5 v 1 2 6 M ay 2 00 5 Commutator anomalies in noncommutative electrodynamics

We exploit the maps for fields and currents in a U(1) gauge theory relating the noncommutative and commutative (usual) descriptions to obtain the O(θ) structure of the commutator anomalies in noncommutative electrodynamics. These commutators involve the (covariant) current–current algebra and the (covariant) current–field algebra. We also establish the compatibility of the anomalous commutators...

ar X iv : h ep - t h / 00 05 02 6 v 1 2 M ay 2 00 0 UG - 00 - 01 A Noncommutative M – Theory Five – brane

We investigate, in a certain decoupling limit, the effect of having a constant C– field on the M–theory five–brane using an open membrane probe. We define an open membrane metric for the five–brane that remains non–degenerate in the limit. The canonical quantisation of the open membrane boundary leads to a noncommutative loop space which is a functional analogue of the noncommutative geometry t...

Noncommutative Maslov Index and η-Forms