5 papers
Boundary Ground Ring and Disc Correlation Functions in Liouville Quantum Gravity
Ivan K. Kostov
We construct the boundary ground ring in c < 1 open string theories with non-zero boundary cosmological constant (FZZT brane), using the Coulomb gas representation. The ring relati…
Conformal Field Theory Techniques in Random Matrix models
Ivan K. Kostov
In these notes we explain how the CFT description of random matrix models can be used to perform actual calculations. Our basic example is the hermitian matrix model, reformulated…
Generalized Hirota Equations in Models of 2D Quantum Gravity
Jorge Alfaro, Ivan Kostov
We derive a set of bilinear functional equations of Hirota type for the partition functions of the related integrable statistical models defined on a random lattice. These…
Bilinear Functional Equations in 2D Quantum Gravity
I. K. Kostov
The microscopic theories of quantum gravity related to integrable lattice models can be constructed as special deformations of pure gravity. Each such deformation is defined by a s…
Propagation of particles and strings in one-dimensional Universe
Ivan K. Kostov
We review the basics of the dynamics of closed strings moving along the discretized line \Z. The string excitations are described by a field ϕ_x(τ) where x is the position of the s…