{
  "abstract": "We calculate the $θ$ dependence of the vacuum energy in an infinite family of cousins of QCD, where the vacuum structure can be analyzed exactly. These theories are $\\mathcal{N}=1$ EFTs that descend from $\\mathcal{N}=2$ $SU(N_c)$ gauge theory with $N_f$ flavors of fundamental hypermultiplets, that are then deformed by anomaly mediated supersymmetry breaking (AMSB). We reproduce results found in previous work that used the full $\\mathcal{N}=2$ machinery but via a much simpler $\\mathcal{N}=1$ method. Our method easily extends to infinitely many more theories for which the full $\\mathcal{N}=2$ approach becomes intractable. We identify values of $θ$ for which the theory undergoes a phase transition, and find that they can occur at both fractional and irrational values of $θ/π$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.22613",
  "author_total": 4,
  "authors": [
    {
      "name": "Dhruv Aldas"
    },
    {
      "name": "Hitoshi Murayama"
    },
    {
      "name": "Bea Noether"
    },
    {
      "name": "Digvijay Roy Varier"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/es1ya571402x5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22613",
  "fulltext_url": null,
  "id": "es1ya571402x5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.22613",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7214012950",
  "pdf_url": "https://arxiv.org/pdf/2609.22613",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/es1ya571402x5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.22613",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22613"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Phase Transitions at More Unusual Values of Theta",
  "title_text": "Phase Transitions at More Unusual Values of Theta",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/es1ya571402x5",
  "venue": "arXiv",
  "versions": []
}