A new method for finding vacua in string phenomenology
TLDR
In this paper, the authors present an algorithmic method to find all of the vacua of any given string-phenomenological system in a huge class of nonperturbative effects, including gaugino condensation and instantonic contributions to the superpotential.Abstract:
One of the central problems of string-phenomenology is to find stable vacua in the four dimensional effective theories which result from compactification. We present an algorithmic method to find all of the vacua of any given string-phenomenological system in a huge class. In particular, this paper reviews and then extends hep-th/0606122 to include various non-perturbative effects. These include gaugino condensation and instantonic contributions to the superpotential.read more
Citations
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Heterotic line bundle standard models
TL;DR: In this paper, the authors construct the resulting standard models explicitly, compute their spectrum including Higgs multiplets, and analyze some of their basic properties, and explicitly compute the spectrum of allowed operators for each model and present the results, together with the defining data of the models, in a database of standard models accessible here.
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Evolving neural networks with genetic algorithms to study the String Landscape
TL;DR: Three areas in which neural networks can be applied are studied: to classify models according to a fixed set of (physically) appealing features, to find a concrete realization for a computation for which the precise algorithm is known in principle but very tedious to actually implement, and to predict or approximate the outcome of some involved mathematical computation which performs too inefficient to apply it.
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SQCD: A Geometric Apercu
TL;DR: In this paper, the authors take new algebraic and geometric perspectives on the old subject of SQCD and count chiral gauge invariant operators using generating functions, or Hilbert series, derived from the plethystic program and the Molien-Weyl formula.
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A Comprehensive Scan for Heterotic SU(5) GUT models
TL;DR: In this article, a large class of line bundles over complete intersection Calabi-Yau manifolds in products of projective spaces that admit smooth quotients by finite groups were constructed, leading to 2122 heterotic standard models.
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STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology
TL;DR: A simple tutorial introduction to the Mathematica package STRINGVACUA, which is designed to find vacua of string-derived or inspired four-dimensional N=1 supergravities, which can be used both in string theory and in more general applications requiring fast polynomial computations.
References
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On the Lambert W function
TL;DR: A new discussion of the complex branches of W, an asymptotic expansion valid for all branches, an efficient numerical procedure for evaluating the function to arbitrary precision, and a method for the symbolic integration of expressions containing W are presented.
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De Sitter vacua in string theory
TL;DR: The metastable de Sitter vacua of type IIB string theory has been constructed in this article, which is a supersymmetric version of the ground state of the original ground state.
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Hierarchies from fluxes in string compactifications
TL;DR: In this article, the authors show that the hierarchy of scales can be fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold, and give examples involving orientifold compactifications of type IIB string theory and F-theory compactifications on Calabi-Yau fourfolds.
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Positive Energy in anti-De Sitter Backgrounds and Gauged Extended Supergravity
TL;DR: The energy functional of a field theory with anti-de Sitter background geometry can be positive for scalar potentials which are unbounded below and for vacua corresponding to critical points which are maxima or saddle points as mentioned in this paper.
Book
SINGULAR — A computer algebra system for polynomial computations
TL;DR: SingULAR as mentioned in this paper is a specialized computer algebra system for polynomial computations with emphasize on the needs of commutative algebra, algebraic geometry, and singularity theory.