ar X iv : h ep - t h / 04 06 13 5 v 1 1 5 Ju n 20 04 A construction of fuzzy S 4 YASUHIRO ABE

ar X iv : h ep - t h / 04 06 13 5 v 2 1 2 N ov 2 00 4 A construction of fuzzy S 4

We construct a fuzzy S 4 , utilizing the fact that CP 3 is an S 2 bundle over S 4. We find that the fuzzy S 4 can be described by a block-diagonal form whose embedding square matrix represents a fuzzy CP 3. We discuss some pending issues on fuzzy S 4 , i.e., precise matrix-function correspondence, associativity of the algebra, and etc. Similarly, we also obtain a fuzzy S 8 , using the fact that...

ar X iv : h ep - t h / 04 06 24 4 v 1 2 5 Ju n 20 04 A model for Hopfions on the space - time S 3 × IR

We construct static and time dependent exact soliton solutions for a theory of scalar fields taking values on a wide class of two dimensional target spaces, and defined on the four dimensional space-time S 3 × IR. The construction is based on an ansatz built out of special coordinates on S 3. For the case where the target space is the sphere S 2 , the infinite set of solutions have non-trivial ...

ar X iv : h ep - p h / 04 06 26 4 v 1 2 3 Ju n 20 04 IPPP / 04 / 05 DCTP / 04 / 10 Top flavour violating decays in general supersymmetric models

We analyse the top flavour violating decays in general supersymmetric model using the mass insertion approximation. In particular, we discuss the impact of a light right-handed top-squark and large mixing between the first or second and third generation of up-squarks on processes as t → qγ, g. We also take into account the relevant experimental constraints from B-physics and the requirements fo...

ar X iv : h ep - t h / 04 06 15 4 v 1 1 8 Ju n 20 04 Characters of the Positive Energy UIRs of

We give character formulae for the positive energy unitary irreducible representations of the N-extended D=4 conformal superalgebras su(2,2/N). Using these we also derive decompositions of long superfields as they descend to the unitarity threshold. These results are also applicable to irreps of the complex Lie superalgebras sl(4/N). Our derivations use results from the representation theory of...

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