Charge Conservation Equations as a Test of the Validity of Field Theories in de Sitter Space

In order for a field theory in de Sitter space to be physically consistent, it must satisfy a series of equations called charge conservation relations. These relations are generated iteratively, and can be expressed in the form of polynomial equations. The process for generating these equations is long and complicated, and it is unclear for which theories the process will converge on a single solution set. The purpose of our research is to study these systems of equations and their solutions to see if we can determine for which theories there is convergence.