90 citations · 1.1k across the 68 of their papers we have counts for
8 papers · 1 filter
Global Structure of Curves from Generalized Unitarity Cut of Three-loop Diagrams
Jonathan D. Hauenstein, Rijun Huang, Dhagash Mehta +1
This paper studies the global structure of algebraic curves defined by generalized unitarity cut of four-dimensional three-loop diagrams with eleven propagators. The global structu…
Tumbling through a landscape: Evidence of instabilities in high-dimensional moduli spaces
Brian Greene, David Kagan, Ali Masoumi +3
We argue that a generic instability afflicts vacua that arise in theories whose moduli space has large dimension. Specifically, by studying theories with multiple scalar fields we…
Exploring the Potential Energy Landscape Over a Large Parameter-Space
Yang-Hui He, Dhagash Mehta, Matthew Niemerg +2
Solving large polynomial systems with coefficient parameters are ubiquitous and constitute an important class of problems. We demonstrate the computational power of two methods--a…
Finding all flux vacua in an explicit example
Danny Martinez-Pedrera, Dhagash Mehta, Markus Rummel +1
We explicitly construct all supersymmetric flux vacua of a particular Calabi-Yau compactification of type IIB string theory for a small number of flux carrying cycles and a given D…
Numerical Analyses on Moduli Space of Vacua
Jonathan Hauenstein, Yang-Hui He, Dhagash Mehta
We propose a new computational method to understand the vacuum moduli space of (supersymmetric) field theories. By combining numerical algebraic geometry (NAG) and elimination theo…
Numerical Algebraic Geometry: A New Perspective on String and Gauge Theories
Dhagash Mehta, Yang-Hui He, Jonathan D. Hauenstein
The interplay rich between algebraic geometry and string and gauge theories has recently been immensely aided by advances in computational algebra. However, these symbolic (Gröbner…