Geometric engineering of N = 1 quantum field theories
Sheldon Katz,Cumrun Vafa +1 more
TLDR
In this paper, a local geometric model in terms of F-and M-theory compactification on Calabi-Yau 4-folds is constructed, which leads to N = 1 Yang-Mills theory in d = 4 and its reduction on a circle to d = 3.About:
This article is published in Nuclear Physics.The article was published on 1997-07-21 and is currently open access. It has received 206 citations till now. The article focuses on the topics: Superpotential & Liouville field theory.read more
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Flux Compactification
Michael R. Douglas,Shamit Kachru +1 more
TL;DR: A survey of the landscape of string and M theory vacua can be found in this article, where the authors discuss the potential for testable consequences of this picture, such as observable effects of moduli, constraints on early cosmology, and predictions for the scale of supersymmetry breaking.
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Aspects of N = 2 supersymmetric gauge theories in three dimensions
Ofer Aharony,Amihay Hanany,Kenneth Intriligator,Nathan Seiberg,Matthew J. Strassler,Matthew J. Strassler +5 more
TL;DR: In this article, the authors consider general aspects of N = 2 gauge theories in three dimensions, including their multiplet structure, anomalies and non-renormalization theorems.
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Vector Bundles and F Theory
TL;DR: In this paper, the construction of holomorphic G bundles over elliptic Calabi-Yau manifolds, for various groups G, has been studied, and several detailed comparisons between the heterotic string and F theory are made.
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Brane dynamics and gauge theory
TL;DR: In this article, the authors review some aspects of the interplay between the dynamics of branes in string theory and the classical and quantum physics of gauge theories with different numbers of supersymmetries in various dimensions.
Posted Content
Les Houches Lectures on Constructing String Vacua
TL;DR: These lectures give a detailed introduction to constructing and analyzing string vacua suitable for phenomenological model building, with particular emphasis on F-theory flux vacua.
References
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Book
Principles of Algebraic Geometry
Phillip Griffiths,Joe Harris +1 more
TL;DR: In this paper, a comprehensive, self-contained treatment of complex manifold theory is presented, focusing on results applicable to projective varieties, and including discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex.
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Constraints on Supersymmetry Breaking
TL;DR: In this paper, some nonperturbative constraints on supersymmetry breaking are derived and it is demonstrated that dynamical supersymmetric breaking does not occur in certain interesting classes of theories.
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Evidence for F-theory
TL;DR: In this paper, the authors constructed compact examples of D-manifolds for type IIB strings and showed that the construction has a natural interpretation in terms of compactification of a 12-dimensional ''F-theory''.
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A property of electric and magnetic flux in non-Abelian gauge theories
TL;DR: In this paper, pure non-Abelian gauge models with gauge group SU( N ) are considered in a box with periodic boundary conditions at various temperatures β − 1. Electric and magnetic flux are defined in a gauge-invariant way.
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On isolated rational singularities of surfaces.
TL;DR: In this paper, the authors considered the question of whether a singularity giving rise to such a configuration is necessarily a double point and showed that it is a triple point, which is the case for rational triple points.