Deformed Shatashvili-Vafa algebra for superstrings on AdS$_3\times {\cal M}_7$
Marc-Antoine Fiset,
Matthias R. Gaberdiel
Abstract:String backgrounds of the form M 3 ×M 7 where M 3 denotes 3-dimensional Minkowski space while M 7 is a 7-dimensional G 2 -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 M 3 is replaced by AdS 3 . We argue that in this case the world-sheet theory is characterised by a certain N = 1 superconformal W-algebra that has the same spin spectrum as the SV algebra a… Show more
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