Calabi-yau Manifolds: A Bestiary For Physicists
Seiten
1992
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0662-8 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0662-8 (ISBN)
Collects and reviews the relevant results on several major construction techniques, computation of physically relevant quantities such as massless field spectra and the Yukawa interactions, stringy corrections, and moduli space and its geometry.
Calabi-Yau spaces are complex spaces with a vanishing first Chern class, or equivalently, with trivial canonical bundle (canonical class). They are used to construct possibly realistic (super)string models and are thus being studied vigorously in the recent physics literature.In the main part of the Book, collected and reviewed are relevant results on (1) several major techniques of constructing such spaces and (2) computation of physically relevant quantities such as massless field spectra and their Yukawa interactions. Issues of (3) stringy corrections and (4) moduli space and its geometry are still in the stage of rapid and continuing development, whence there is more emphasis on open problems here. Also is included a preliminary discussion of the conjectured universal moduli space and related open problems. Finally, several detailed models and sample computations are included throughout the Book to exemplify the techniques and the general discussion.The Book also contains a Lexicon (28 pages) of 150 assorted terms, key-words and main results and theorems, well suited for a handy reference. Although cross-referenced with the main part of the Book, the Lexicon can also be used independently.The level of mathematics is guided and developed between that of the popular Physics Reports of Eguchi, Gilkey and Hanson and the book Superstrings (Vol. 2) by Green, Schwarz and Witten on one end and Principles of Algebraic Geometry of Griffiths and Harris on the other.This is the first systematic exposition in book form of the material on Calabi-Yau spaces, related mathematics and the physics application, otherwise scattered through research articles in journals and conference proceedings.
Calabi-Yau spaces are complex spaces with a vanishing first Chern class, or equivalently, with trivial canonical bundle (canonical class). They are used to construct possibly realistic (super)string models and are thus being studied vigorously in the recent physics literature.In the main part of the Book, collected and reviewed are relevant results on (1) several major techniques of constructing such spaces and (2) computation of physically relevant quantities such as massless field spectra and their Yukawa interactions. Issues of (3) stringy corrections and (4) moduli space and its geometry are still in the stage of rapid and continuing development, whence there is more emphasis on open problems here. Also is included a preliminary discussion of the conjectured universal moduli space and related open problems. Finally, several detailed models and sample computations are included throughout the Book to exemplify the techniques and the general discussion.The Book also contains a Lexicon (28 pages) of 150 assorted terms, key-words and main results and theorems, well suited for a handy reference. Although cross-referenced with the main part of the Book, the Lexicon can also be used independently.The level of mathematics is guided and developed between that of the popular Physics Reports of Eguchi, Gilkey and Hanson and the book Superstrings (Vol. 2) by Green, Schwarz and Witten on one end and Principles of Algebraic Geometry of Griffiths and Harris on the other.This is the first systematic exposition in book form of the material on Calabi-Yau spaces, related mathematics and the physics application, otherwise scattered through research articles in journals and conference proceedings.
Calabi-Yau manifolds in general; standard complete intersections; complete intersections in products of Pn; spectral sequences; elementary cohomology computations; advanced cohomology computations; Yukawa couplings in CICYs; cyclic quotient singularities; weighted complete intersections; alegbraic singularities; conifolds connect Calabi-Yau manifolds; the space of complex structures; the complexified Kahler cone; the distance between distinct manifolds; hypersurfaces in products of surfaces; Calabi-Yau from almost fano threefolds; fibred products; a 3-generation example; robustness of algebro-geometric results.
| Erscheint lt. Verlag | 1.3.1992 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik |
| ISBN-10 | 981-02-0662-3 / 9810206623 |
| ISBN-13 | 978-981-02-0662-8 / 9789810206628 |
| Zustand | Neuware |
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