8 papers
strings as a matrix integral
Scott Collier, Lorenz Eberhardt, Victor A. Rodriguez
We study the perturbative -matrix of the string and show that it admits a description in terms of a double-scaled (0+0)-dimensional matrix integral based on the spectral c…
A universal sum over topologies in 3d gravity
Alexandre Belin, Scott Collier, Lorenz Eberhardt +2
We explore the sum over topologies in AdS quantum gravity and its relationship with the statistical interpretation of the boundary theory. We formulate a statistical version of…
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…