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<p>We define analytic maps between super Riemann surfaces which extend the notion of branched covering maps to a supersymmetric setting. We show that these super covering maps appear naturally both in symmetric product orbifolds of superconformal field theories, as well as in the hybrid formalism for tensionless string theory on AdS<sub>3</sub> × <i>S</i><sup>3</sup> × 𝕋<sup>4</sup>. In the former, they can be used to calculate correlators in a manifestly supersymmetric way, while in the latter they solve Ward identities of worldsheet correlators.</p>

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Super covering maps

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月6日

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  • Beat Nairz

摘要

We define analytic maps between super Riemann surfaces which extend the notion of branched covering maps to a supersymmetric setting. We show that these super covering maps appear naturally both in symmetric product orbifolds of superconformal field theories, as well as in the hybrid formalism for tensionless string theory on AdS3 × S3 × 𝕋4. In the former, they can be used to calculate correlators in a manifestly supersymmetric way, while in the latter they solve Ward identities of worldsheet correlators.