Crossing antisymmetric Polyakov blocks + dispersion relation

Many CFT problems, e.g. ones with global symmetries, have correlation functions a crossing antisymmetric sector. We show that such function can be expanded in terms of manifestly objects, which we call the '+ type Polyakov blocks'. These blocks are built from AdS$_{d+1}$ Witten diagrams. In 1d they encode type' analytic functionals act on functions. general d establish this diagram basis dispersion relation Mellin space. Analogous to symmetric case, imposes set independent 'locality constraints' addition usual sum rules given by 'Polyakov conditions'. use simplify more $d > 1$ and symmetry functionals.