Abstract
We investigate two dimensional (2d) quantum field theories which exhibit Non-Lorentzian Kač-Moody (NLKM) algebras as their underlying symmetry. Our investigations encompass both 2d Galilean (speed of light c → ∞) and Carrollian (c → 0) CFTs with additional number of infinite non-Abelian currents, stemming from an isomorphism between the two algebras. We alternate between an intrinsic and a limiting analysis. Our NLKM algebra is constructed first through a contraction and then derived from an intrinsically Carrollian perspective. We then go on to use the symmetries to derive a Non-Lorentzian (NL) Sugawara construction and ultimately write down the NL equivalent of the Knizhnik Zamolodchikov equations. All of these are also derived from contractions, thus providing a robust cross-check of our analyses.
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Bagchi, A., Chatterjee, R., Kaushik, R. et al. Non-Lorentzian Kač-Moody algebras. J. High Energ. Phys. 2023, 41 (2023). https://doi.org/10.1007/JHEP03(2023)041
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DOI: https://doi.org/10.1007/JHEP03(2023)041