منابع مشابه
Coincidences of Hypercubic Lattices in 4 dimensions
We consider the CSLs of 4–dimensional hypercubic lattices. In particular, we derive the coincidence index Σ and calculate the number of different CSLs as well as the number of inequivalent CSLs for a given Σ. The hypercubic face centered case is dealt with in detail and it is sketched how to derive the corresponding results for the primitive hypercubic lattice.
متن کامل2 00 7 Coincidences in 4 dimensions
The coincidence site lattices (CSLs) of prominent 4-dimensional lattices are considered. CSLs in 3 dimensions have been used for decades to describe grain boundaries in crystals. Quasicrystals suggest to also look at CSLs in dimensions d > 3. Here, we discuss the CSLs of the root lattice A4 and the hypercubic lattices, which are of particular interest both from the mathematical and the crystall...
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We study four dimensional chiral N = 1 supersymmetric theories on which the scalar manifold is described by Kähler geometry and further, it can be viewed as Kähler-Ricci soliton. All couplings and solutions, namely BPS domain walls and their supersymmetric Lorentz invariant vacuums turn out to be evolved with respect to the soliton. Two models are discussed, namely N = 1 theory on Kähler-Einste...
متن کاملRemoving Coincidences of Maps between Manifolds of Different Dimensions
We consider sufficient conditions of local removability of coincidences of maps f, g:N →M , where M , N are manifolds with dimensions dimN ≥ dimM . The coincidence index is the only obstruction to the removability for maps with fibers either acyclic or homeomorphic to spheres of certain dimensions. We also address the normalization property of the index and coincidence-producing maps.
متن کاملSuperconformal Symmetry in Four Dimensions
We investigate the nonlinear realization of spontaneously broken N = 2 superconformal symmetry in 4 dimensions. We particularly study NambuGoldstone degrees of freedom for the partial breaking of N = 2 superconformal symmetry down to N = 1 super-Poincaré symmetry, where we get the chiral NG multiplet of dilaton and the vector NG multiplet of NG fermion of broken Q-supersymmetry. Evaluating the ...
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ژورنال
عنوان ژورنال: Philosophical Magazine
سال: 2008
ISSN: 1478-6435,1478-6443
DOI: 10.1080/14786430701846206