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

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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.
20 pages, no figure. Version 2:A paragraph for the calculation of the 2-point correlators was added. Some typos and garammatical errors were corrected.Version 3: Equations 24 are modified. Version 4 : new introduction and minor corrections

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