Abstract
String backgrounds of the form 𝕄3 × ℳ7 where 𝕄3 denotes 3-dimensional Minkowski space while ℳ7 is a 7-dimensional G2-manifold, are characterised by the property that the world-sheet theory has a Shatashvili-Vafa (SV) chiral algebra. We study the generalisation of this statement to backgrounds where the Minkowski factor 𝕄3 is replaced by AdS3. We argue that in this case the world-sheet theory is characterised by a certain \( \mathcal{N} \) = 1 superconformal \( \mathcal{W} \)-algebra that has the same spin spectrum as the SV algebra and also contains a tricritical Ising model \( \mathcal{N} \) = 1 subalgebra. We determine the allowed representations of this \( \mathcal{W} \)-algebra, and analyse to which extent the special features of the SV algebra survive this generalisation.
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Fiset, MA., Gaberdiel, M.R. Deformed Shatashvili-Vafa algebra for superstrings on AdS3 × ℳ7. J. High Energ. Phys. 2021, 156 (2021). https://doi.org/10.1007/JHEP05(2021)156
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DOI: https://doi.org/10.1007/JHEP05(2021)156