Finite-coupling spectrum of O(N) model in AdS — Mathematica package ONinAdS

The main purpose of this repository is to provide the accompanying code for the preprint:
  Jonáš Dujava and Petr Vaško, Finite-coupling spectrum of O(N) model in AdS
    arXiv: 2503.16345 [hep-th], GitHub: jdujava/ONinAdS

In addition, you can also find here the revised version of my master thesis:
  Jonáš Dujava, Strongly Coupled Quantum Field Theory in Anti-de Sitter Spacetime — Master Thesis
    arXiv: 2507.07111 [hep-th], GitHub: jdujava/ONinAdS

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Software Requirements

• Wolfram Mathematica — preferably version >=14.0

How to setup ONinAdS package

We need to copy/symlink the package directory to place where Mathematica searches for packages. This is any directory in Mathematica $PATH, for example something like /home/username/Wolfram/Applications. On linux, this can be done using

ln -sv -t /path/to/directory/in/Mathematica/$Path /path/to/repository-ONinAdS/ONinAdS

Now we can load the whole package with (note the trailing backtick)

Get["ONinAdS`"]
(* or alternatively with << ONinAdS` *)

Alternatively, one can provide the full path to the package as

Get["/path/to/repository-ONinAdS/ONinAdS`"]

Package Showcase

See the ONinAdS-showcase.nb file for a quick example of how to use the package. However, most of the interesting details are directly included in the package files (located in the ONinAdS/ directory).

Presentations

This repository also includes the slides from the following presentations:

• March 27th 2025 — ONinAdS-talk.pdf
• April 4th 2025 — ONinAdS-seminar.pdf