5 papers
Quantum field theory and the Bieberbach conjecture
Parthiv Haldar, Aninda Sinha, Ahmadullah Zahed
An intriguing correspondence between ingredients in geometric function theory related to the famous Bieberbach conjecture (de Branges' theorem) and the non-perturbative crossing sy…
Crossing Symmetric Dispersion Relations for Mellin Amplitudes
Rajesh Gopakumar, Aninda Sinha, Ahmadullah Zahed
We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories (CFTs). This allows us to set up t…
Crossing Symmetric Dispersion Relations in QFTs
Aninda Sinha, Ahmadullah Zahed
For 2-2 scattering in quantum field theories, the usual fixed dispersion relation exhibits only two-channel symmetry. This paper considers a crossing symmetric dispersion relat…
Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs
Pietro Ferrero, Kausik Ghosh, Aninda Sinha +1
We develop the technology for Polyakov-Mellin (PM) bootstrap in one-dimensional conformal field theories (CFT). By adding appropriate contact terms, we bootstrap various effect…
Positive geometry in the diagonal limit of the conformal bootstrap
Kallol Sen, Aninda Sinha, Ahmadullah Zahed
We consider the diagonal limit of the conformal bootstrap in arbitrary dimensions and investigate the question if physical theories are given in terms of cyclic polytopes. Recently…