• Corpus ID: 18208825

Random Polynomials and the Friendly Landscape

  title={Random Polynomials and the Friendly Landscape},
  author={Jacques Distler and Uday Varadarajan},
  journal={arXiv: High Energy Physics - Theory},
In hep-th/0501082, a field theoretic ``toy model'' for the Landscape was proposed. We show that the considerations of that paper carry through to realistic effective Lagrangians, such as those that emerge out of string theory. Extracting the physics of the large number of metastable vacua that ensue requires somewhat more sophisticated algebro-geometric techniques, which we review. 
Random Field Theories in The Mirror Quintic Moduli Space
We investigate the distribution of field theories that arise from the low energy limit of flux vacua built on type IIB string theory compactified on the mirror quintic. For a large collection of
Calabi-Yau CFTs and Random Matrices
Using numerical methods for finding Ricci-flat metrics, we explore the spectrum of local operators in two-dimensional conformal field theories defined by sigma models on Calabi–Yau targets at large
Gauge sector statistics of intersecting D-brane models
In this paper, which is based on the first part of the author's PhD thesis, we review the statistics of the open string sector in T6/(ℤ2 × ℤ2) orientifold compactifications of type IIA. After an
A new method for finding vacua in string phenomenology
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
The Swampland: Introduction and Review
  • Eran Palti
  • Physics, Chemistry
    Fortschritte der Physik
  • 2019
The Swampland program aims to distinguish effective theories which can be completed into quantum gravity in the ultraviolet from those which cannot. This article forms an introduction to the field,
A Simple Introduction to Gröbner Basis Methods in String Phenomenology
I give an elementary introduction to the key algorithm used in recent applications of computational algebraic geometry to the subject of string phenomenology. I begin with a simple description of
One in a Billion: MSSM-like D-Brane Statistics
Continuing our recent work hep-th/0411173, we study the statistics of four-dimensional, supersymmetric intersecting D-brane models in a toroidal orientifold background. We have performed a vast
Monodromy inflation in SUSY QCD
A bstractThe discovery of a large tensor-to-scalar ratio by the BICEP2 experiment points to large field excursions during inflation. One framework that predicts large r is monodromy inflation. While
Statistics on the heterotic landscape: Gauge groups and cosmological constants of four-dimensional heterotic strings
Recent developments in string theory have reinforced the notion that the space of stable supersymmetric and nonsupersymmetric string vacua fills out a landscape whose features are largely unknown. It
Random matrices and the spectrum of N-flation
N-flation is a promising embedding of inflation in string theory in which many string axions combine to drive inflation. We characterize the dynamics of a general N-flation model with nondegenerate


The statistics of string/M theory vacua
We discuss systematic approaches to the classification of string/M theory vacua, and physical questions this might help us resolve. To this end, we initiate the study of ensembles of effective
Statistics of string vacua
In 1975, Scherk and Schwarz proposed that string theory could unify quantum gravity with all other fundamental interactions. This proposal has met with some success, and its study has led to dramatic
R symmetries in the landscape
In the landscape, states with R symmetries at the classical level form a distinct branch, with a potentially interesting phenomenology. Some preliminary analyses suggested that the population of
A Calculable Toy Model of the Landscape
Motivated by recent discussions of the string-theory landscape, we propose field-theoretic realizations of models with large numbers of vacua. These models contain multiple U(1) gauge groups, and can
Calculable toy model of the string-theory landscape
Motivated by recent discussions of the string-theory landscape, we propose field-theoretic realizations of models with large numbers of vacua. These models contain multiple U(1) gauge groups, and can
We argue that the study of the statistics of the landscape of string vacua provides the first potentially predictive -- and also falsifiable -- framework for string theory. The question of whether
The Anthropic Landscape of String Theory
In this lecture I make some educated guesses, about the landscape of string theory vacua. Based on the recent work of a number of authors, it seems plausible that the lanscape is unimaginably large
On the cosmological constant problem
Counting flux vacua
We develop a technique for computing expected numbers of vacua in gaussian ensembles of supergravity theories, and apply it to derive an asymptotic formula for the index counting all flux