The boundary states and correlation functions of the tricritical Ising model from the Coulomb-gas formalism

TL;DR

This paper uses the Coulomb-gas formalism to analyze the boundary states and correlation functions of the tricritical Ising model within a conformal field theory framework, providing explicit constructions and calculations.

Contribution

It determines the consistent boundary states and computes 1-point and 2-point correlation functions for the tricritical Ising model using Coulomb-gas techniques.

Findings

Explicit boundary states for the model are constructed.

Correlation functions are calculated explicitly.

Results enhance understanding of boundary phenomena in conformal models.

Abstract

We consider the minimal conformal model describing the tricritical Ising model on the disk and on the upper half plane. Using the coulomb-gas formalism we determine its consistents boundary states as well as its 1-point and 2-point correlation functions.