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<p>Non-split Real Tambara-Yamagami categories are a family of fusion categories over the real numbers that were recently introduced and classified by Plavnik, Sanford, and Sconce. We consider which of these categories admit braidings, and classify the resulting braided equivalence classes. We also prove some new results about the split real and split complex Tambara-Yamagami Categories.</p>

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Braidings for Non-Split Tambara-Yamagami Categories Over the Reals

  • 期刊论文

  • 发表日期：

    2026年2月20日

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  • David Green,
  • Yoyo Jiang,
  • Sean Sanford

摘要

Non-split Real Tambara-Yamagami categories are a family of fusion categories over the real numbers that were recently introduced and classified by Plavnik, Sanford, and Sconce. We consider which of these categories admit braidings, and classify the resulting braided equivalence classes. We also prove some new results about the split real and split complex Tambara-Yamagami Categories.