Conformal bootstrap in Mellin space from GG systems

Key Points

• Bounds on the spectrum of fields are derived using the Mellin transform in conformal bootstrap equations.
• The Mellin transform is expressed through Gauss-Grassmann systems connected to conformal integrals, showcasing flexibility.
• Incorporating generalized hypergeometric functions enhances the overall mathematical framework and applications of the theory.
• The approach could simplify calculations in theoretical physics, particularly in quantum field theory contexts.

Abstract