Inflatox - multifield inflation consistency conditions in python

Inflatox provides utilities to compute slow-roll parameters and turn-rates for two-field inflation models, based on the consistency condition from Generalised consistency condition first presented in Anguelova & Lazaroiu (2023)¹ and later expanded for the purposes of this package in arXiv:2405.11628. The consistency conditions can be used in a parameter sweep of a two-field model to find possible inflation trajectories.

If this software has proven useful to your research, please consider citing arXiv:2405.11628 (paper in preparation).

Features

• symbolic solver for components of the Hesse matrix of an inflationary model with non-canonical kinetic terms, powered by sympy.
• transpiler to transform sympy expressions into executable compiled (C) code.
• built-in multithreaded rust module for high-performance calculations of consistency conditions that interfaces directly with numpy and python.
• utilities for performing parameter sweeps.
• extendability: inflatox' exposes a python interface to calculate any intermediate quantity, which can be used to extend it with additional consistency conditions.
• no need to read, write or compile any rust or C code manually (this is all done automatically behind the scenes).
• no system dependencies, everything needed to run the package can be automatically installed by pip.

Installation and Dependencies

Inflatox requires at least python (ABI) version 3.8. The latest version of inflatox can be installed using pip:

pip install inflatox

Inflatox can be updated using:

pip install --upgrade inflatox

Example programme

The following code example shows how inflatox can be used to calculate the potential and components of the Hesse matrix for a two-field hyperinflation model.

#import inflatox
import inflatox
import sympy as sp
import numpy as np
sp.init_printing()

#define model
φ, θ, L, m, φ0 = sp.symbols('φ θ L m φ0')
fields = [φ, θ]

V = (1/2*m**2*(φ-φ0)**2).nsimplify()
g = [
  [1, 0],
  [0, L**2 * sp.sinh(φ/L)**2]
]

#print metric and potential
display(g, V)

#symbolic calculation
calc = inflatox.SymbolicCalculation.new_from_list(fields, g, V)
hesse = calc.execute([[0,1]])

#run the compiler
out = inflatox.Compiler(hesse).compile()

#evaluate the compiled potential and Hesse matrix
from inflatox.consistency_conditions import GeneralisedAL
anguelova = GeneralisedAL(out)

p = np.array([1.0, 1.0, 1.0])
x = np.array([2.0, 2.0])
print(anguelova.calc_V(x, p))
print(anguelova.calc_H(x, p))

extent = (-1, 1, -1, 1)
consistency_condition, epsilon_V, epsilon_H, eta_H, delta, omega =
    anguelova.full_analysis(p, *extent)

Supported Architectures

• Intel/AMD x86/i686 (32 bit)
  • linux/gnu (glibc >= 2.17, kernel >= 3.2)
  • windows 7+ ²
• ARM armv7 (32 bit)
  • linux/gnu (glibc >= 2.17, kernel >= 3.2, hard float)
• Intel/AMD x86_64/amd64 (64 bit)
  • linux/gnu (glibc >= 2.17, kernel >= 3.2)
  • windows 7+ ²
  • macOS 10.12+ / Sierra+
• ARM aarch64 (64 bit)
  • linux/gnu (glibc >= 2.17, kernel >= 4.1)
  • macOS 11.0+ / Big Sur+ Note: Apple silicon M-series chips are supported (aarch64)

License

Inflatox is explicitly not licensed under the dual Apache/MIT license common to the Rust ecosystem. Instead it is licensed under the terms of the European Union Public License v1.2.

Inflatox is a science project and embraces the values of open science and free and open software. Closed and paid scientific software suites hinder the development of new technologies and research methods, as well as diverting much- needed public funds away from researchers to large publishing and software companies.

See the LICENSE.md file for the EUPL text in all 22 official languages of the EU, and LICENSE-EN.txt for a plain text English version of the license.

References and footnotes

Footnotes

1. Anguelova, L., & Lazaroiu, C. (2023). Dynamical consistency conditions for rapid-turn inflation. Journal of Cosmology and Astroparticle Physics, May 2023(20). https://doi.org/10.1088/1475-7516/2023/ 05/020 ↩

2. Windows 7 is no longer considered a tier-1 target by the rust project. Usage of Windows 10+ is recommended. ↩ ↩²