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arXiv · 2505.03462

Non-relativistic quantum strings from gauged WZW models

José M Figueroa-O'Farrill·Girish S Vishwa
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Abstract

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.

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José M Figueroa-O'Farrill, Girish S Vishwa. 2025-05-06. Non-relativistic quantum strings from gauged WZW models. https://doi.org/10.1007/jhep08(2025)025

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