Three - Dimensional Description of the Φ 1 , 3 Deformation of Minimal Models

We discuss the 2 + 1 dimensional description of the Φ1,3 deformation of the minimal model Mp leading to a transition Mp → Mp−1. The deformation can be considered as an addition of the charged matter to the Chern-Simons theory describing a minimal model. The N = 1 superconformal case is also considered. e-mail address: [email protected] † On leave of absence from ITEP, B.Cheremyshkinskaya 25, Moscow, 117259, Russia permanent address It is known that two-dimensional conformal field theories (2D CFT) [1], [2] can be described in three-dimensional terms by using an amusing connection [3] between a 2+1dimensional topological Chern-Simons (CS) theory with an action