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<p>We construct non-relativistic quantum strings from gauged Wess-Zumino-Witten (WZW) models. We depart from the fact that Lie groups with a bi-invariant galilean structure can be seen as the quotient by a null central subgroup of a generalised Nappi-Witten group. We implement the quotient by a chiral null gauging. We use a particular free field realisation of the Nappi-Witten current algebra to compute the Virasoro BRST cohomology of the gauged WZW model, resulting in a closed string theory reminiscent of the bosonic Gomis-Ooguri string, but whose spectrum differs slightly between the holomorphic and antiholomorphic sectors.</p>

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Non-relativistic quantum strings from gauged WZW models

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  • 出版模式：

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  • 发表日期：

    2025年8月4日

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  • José M. Figueroa-O’Farrill,
  • Girish S Vishwa

摘要

We construct non-relativistic quantum strings from gauged Wess-Zumino-Witten (WZW) models. We depart from the fact that Lie groups with a bi-invariant galilean structure can be seen as the quotient by a null central subgroup of a generalised Nappi-Witten group. We implement the quotient by a chiral null gauging. We use a particular free field realisation of the Nappi-Witten current algebra to compute the Virasoro BRST cohomology of the gauged WZW model, resulting in a closed string theory reminiscent of the bosonic Gomis-Ooguri string, but whose spectrum differs slightly between the holomorphic and antiholomorphic sectors.