منابع مشابه
The Geometry of Supersymmetric Gauge Theories in Four Dimensions
We review the relations between (twisted) supersymmetric gauge theories in four dimensions and moduli problems in four-dimensional topology, and we study in detail the non-abelian monopole equations from this point of view. The relevance of exact results in N = 1 and N = 2 supersymmetric gauge theories to the computation of topological invariants is emphasized. Some background material is provi...
متن کاملGeometry of N = 1 Dualities in Four Dimensions
We discuss how N = 1 dualities in four dimensions are geometrically realized by wrapping D-branes about 3-cycles of Calabi-Yau threefolds. In this setup the N = 1 dualities for SU , SO and U Sp gauge groups with fundamental fields get mapped to statements about the monodromy and relations among 3-cycles of Calabi-Yau threefolds. The connection between the theory and its dual requires passing th...
متن کاملToric Geometry and F-Theory/Heterotic Duality in Four Dimensions
We study, as hypersurfaces in toric varieties, elliptic Calabi–Yau fourfolds for F-theory compactifications dual to E8 × E8 heterotic strings compactified to four dimensions on elliptic Calabi–Yau threefolds with some choice of vector bundle. We describe how to read off the vector bundle data for the heterotic compactification from the toric data of the fourfold. This map allows us to construct...
متن کاملNear Horizon Geometry and Black Holes in Four Dimensions
A large class of extremal and near-extremal four dimensional black holes in M-theory feature near horizon geometries that contain three dimensional asymptotically anti-de Sitter spaces. Globally, these geometries are derived from AdS3 by discrete identifications. The microstates of such black holes can be counted by exploiting the conformal symmetry induced on the anti-de Sitter boundary, and t...
متن کاملA study on dimensions of Fractal geometry in Iranian architecture
The subject of geometry and proportions has been regarded as an issue which has a close relationship with architecture. Since the entire universe, living beings and the human geometry can be seen clearly, that’s why our unconscious essence has accustomed to these proportions whereby reflection of this mentality can be seen in the architect’s hands and thought in the architecture. It can witness...
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ژورنال
عنوان ژورنال: The Mathematics Teacher
سال: 1914
ISSN: 0025-5769,2330-0582
DOI: 10.5951/mt.7.2.0049