Abstract:
Field theoretical studies involve the evaluation of four-point Correlator functions of the
involved fields. This applies equally to the calculation of Scattering Amplitudes in High
Energy Physics or determining the behavior of statistical systems at critical points in Condensed
matter Physics. Studying field theory for two dimensional systems with Conformal
symmetry becomes important in many physical instances.
In earlier studies, a dual to well known Ising model theory called Baby Monster theory has
been identified. From an altogether different approach too, this theory has been developed
and is of interest in mathematics of Modular forms. Inspired by this, we would like to
understand the Baby Monster theory from a field theorist view point.
In this work we first try to summarize some of the important concepts of Conformal Field
theory in two dimensions. Main work is initiated with discussion on some of the different
methods that can be used for calculating four-point functions in two dimensional conformal
field theory. Eventually, using the properties and similarities arriving due to duality with
Ising theory, we calculate the four-point functions of fields in the Baby-Monster theory.
