Abstract
We propose a non-unitary example of holography for the family of two-dimensional logarithmic conformal field theories with negative central charge c = cp,1 = −6p + 13 − 6p−1. We argue that at large p, these models have a semiclassical gravity-like description which contains, besides the global AdS3 spacetime, a tower of solitonic solutions describing conical excess angles. Evidence comes from the fact that the central charge and the natural modular invariant partition function of such a theory coincide with those of the cp,1 model. These theories have an extended chiral W-algebra whose currents have large spin of order |c|, and which in the bulk are realized as spinning conical solutions. As a by-product we also find a direct link between geometric actions for exceptional Virasoro coadjoint orbits, which describe fluctuations around the conical spaces, and Felder’s free field construction of degenerate representations.
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Raeymaekers, J. Conical spaces, modular invariance and cp,1 holography. J. High Energ. Phys. 2021, 189 (2021). https://doi.org/10.1007/JHEP03(2021)189
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DOI: https://doi.org/10.1007/JHEP03(2021)189