The seven-vertex matrix model realizes sine-Liouville gravity through a shared classical spectral curve with matrix quantum mechanics but distinct branes, with dilute-dense flow analogous to a gravitational massless sine-Gordon flow.
String Equation for String Theory on a Circle
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We derive a constraint (string equation) which together with the Toda Lattice hierarchy determines completely the integrable structure of the compactified 2D string theory. The form of the constraint depends on a continuous parameter, the compactification radius R. We show how to use the string equation to calculate the free energy and the correlation functions in the dispersionless limit. We sketch the phase diagram and the flow structure and point out that there are two UV critical points, one of which (the sine-Liouville string theory) describes infinitely strong vortex or tachyon perturbation.
fields
hep-th 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Sine-Liouville gravity as a Vertex Model on Planar Graphs
The seven-vertex matrix model realizes sine-Liouville gravity through a shared classical spectral curve with matrix quantum mechanics but distinct branes, with dilute-dense flow analogous to a gravitational massless sine-Gordon flow.