287 citations · 2.5k across the 64 of their papers we have counts for
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U(N) Gauge Theory and Lattice Strings
Ivan K. Kostov
We explain, in a slightly modified form, an old construction allowing to reformulate the U(N) gauge theory defined on a D-dimensional lattice as a theory of lattice strings (a stat…
U(N) Gauge Theory and Lattice Strings
I. K. Kostov
The U(N) gauge theory on a D-dimensional lattice is reformulated as a theory of lattice strings (a statistical model of random surfaces). The Boltzmann weights of the surfaces can…
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…
Rational Theories of 2D Gravity from the Two-Matrix Model
J. M. Daul, V. Kazakov, I. Kostov
The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly.…