activity
20072023
most citedFinding All the Stationary Points of a Potential Energy Landscape via Numerical Polynomial Homotopy Continuation Method

90 citations · 1.1k across the 68 of their papers we have counts for

collaborators
Showing 2012Show all

10 papers · 1 filter

hep-th2012★ 60 cited

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…

cond-mat.stat-mech2012★ 27 cited

Exploring the energy landscape of XY models

Rachele Nerattini, Michael Kastner, Dhagash Mehta +1

We investigate the energy landscape of two- and three-dimensional XY models with nearest-neighbor interactions by analytically constructing several classes of stationary points of…

hep-lat2012★ 1 cited

Phase structure of QC2D at high temperature and density

Seamus Cotter, Jon-Ivar Skullerud, Pietro Giudice +3

We study two-color QCD with two flavors of Wilson fermion as a function of quark chemical potential mu and temperature T. We find evidence of a superfluid phase at intermediate mu…

hep-th2012★ 18 cited

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…

hep-lat2012★ 31 cited

Phase Structure of Lattice N=4 Super Yang-Mills

Simon Catterall, Poul H. Damgaard, Thomas Degrand +2

We make a first study of the phase diagram of four-dimensional N=4 super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ is both gauge invari…

hep-th2012★ 52 cited

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…