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September 10, 2025Open Access

Non-relativistic quantum strings from gauged WZW models

JFJosé Figueroa-O’FarrillMaxwell Institute for Mathematical Sciences GVGirish S. VishwaMaxwell Institute for Mathematical Sciences

Key Points

Constructing non-relativistic quantum strings reveals new insights into gauged WZW models.
The study shows how gauged versions of Lie groups can lead to new string theories and yields results relevant to closed string frameworks.
Utilizing a free field realisation of the nappi-witten current algebra assesses the cohomology effectively.
These findings highlight differences in the spectrum between holomorphic and antiholomorphic sectors, proposing fresh avenues for string theory research.

Abstract

A bstract 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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