منابع مشابه
Toric 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 کاملToric Geometry and String Theory
Acknowledgements First and foremost, I would like to thank Philip Candelas for his invaluable help throughout my four years in Oxford. I also owe special thanks to Bogdan Florea, Marcos Mariño and Harald Skarke for stimulating and enjoyable collaborations on the research topics discussed in this thesis. many others for interesting mathematical physics discussions. Many thanks to my parents, who...
متن کاملF Theory Vacua in Four Dimensions and Toric Threefolds
We investigate D=4, N=1 F theory models realized by type IIB string compactification on toric threefolds. Massless spectra, gauge symmetries, phase transitions associated with divisor contractions and flops, and non-perturbative superpotentials are analyzed using elementary toric methods.
متن کاملBranes and Toric Geometry
We show that toric geometry can be used rather effectively to translate a brane configuration to geometry. Roughly speaking the skeletons of toric space are identified with the brane configurations. The cases where the local geometry involves hypersurfaces in toric varieties (such as P blown up at more than 3 points) presents a challenge for the brane picture. We also find a simple physical exp...
متن کاملFlag Manifolds and Toric Geometry
1.1. Flag Manifolds. One of the best understood examples of algebraic varieties is the flag manifold. One is first interested in flag varieties as they are well-defined examples for many basic concepts. Besides this, however, one can find that they deserve individual attention, for they naturally arise in many circumstances, e.g. in the theory of characteristic classes of vector bundles, mirror...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1997
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(97)01047-2