7 papers
Toward the Structure Constants of Liouville Theory
Beatrix Mühlmann, Themistocles Zikopoulos
We discuss the structure constants of spacelike Liouville theory on the two-sphere. Due to the absence of a particular self-dual symmetry…
On the three-point functions in timelike N=1 Liouville CFT
Beatrix Mühlmann, Beatrix Mühlmann, Vladimir Narovlansky +1
We use analytic (super-)conformal bootstrap methods to derive explicit expressions for the structure constants of N=1 Liouville CFT in the `timelike' regime of the superconformal c…
The complex Liouville string: the gravitational path integral
Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann
We give a rigorous definition of sine dilaton gravity in terms of the worldsheet theory of the complex Liouville string arXiv:2409.17246. The latter has a known exact solution that…
The complex Liouville string: worldsheet boundaries and non-perturbative effects
Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann +1
We investigate general observables of the complex Liouville string with worldsheet boundaries. We develop a universal formalism that reduces such observables to ordinary closed str…
The complex Liouville string: the matrix integral
Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann +1
We propose a duality between the complex Liouville string and a two-matrix integral. The complex Liouville string is defined by coupling two Liouville theories with complex central…
The complex Liouville string: the worldsheet
Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann +1
We introduce a new two-dimensional string theory defined by coupling two copies of Liouville CFT with complex central charge on the worldsheet. This string theory de…