A bstract In this work, we formulate a path-integral optimization for two dimensional
conformal field theories perturbed by relevant operators. We present several evidences how …

A bstract We study the Euclidean path integral of two-dimensional quantum gravity with
positive cosmological constant coupled to conformal matter with large and positive central …

A bstract Within the path integral formalism, we compute the disk partition functions of two
dimensional Liouville and JT quantum gravity theories coupled to a matter CFT of central …

This book grew up from lectures delivered within the Elite Master Program “Theoretical and
Mathematical Physics” from the Ludwig-Maximilians-Universität during the winter semesters …

We develop a general method to compute correlation functions of fractional quantum Hall
(FQH) states on a curved space. In a curved space, local transformation properties of FQH …

We show that universal transport coefficients of the fractional quantum Hall effect (FQHE)
can be understood as a response to variations of spatial geometry. Some transport …

We study the generating functional, the adiabatic curvature and the adiabatic phase for the
integer quantum Hall effect (QHE) on a compact Riemann surface. For the generating …

A bstract We study the free energy of the Laughlin state on curved backgrounds, starting
from the free field representation. A simple argument, based on the computation of the …

A bstract We compute the gravitational action of a free massive Majorana fermion coupled to
two-dimensional gravity on compact Riemann surfaces of arbitrary genus. The structure is …

A bstract We investigate the analogy between the large N expansion in normal matrix
models and the asymptotic expansion of the determinant of the Hilb map, appearing in the …