For a two-parameter deformation of double Liouville string theory, the sphere partition function is computed to third order in the deformation coupling, with the Complex Liouville String differing from the Virasoro Minimal String at leading order.
In particular, the limit ˆC(0, α 2, α 3) does not vanish for α 2 ⁄= α 3
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Deforming the Double Liouville String
For a two-parameter deformation of double Liouville string theory, the sphere partition function is computed to third order in the deformation coupling, with the Complex Liouville String differing from the Virasoro Minimal String at leading order.