Conformal Correlation functions in four dimensions from Quaternionic Lauricella system

Abstract: I shall discuss how the correlation functions in Euclidean conformal field theories in four dimensions are expressed as representations of the conformal group $SL(2,\mathbb H)$, $\mathbb H$ being the field of quaternions, on the configuration space of points. The representations are obtained in terms of Lauricella system for quaternions, generalizing the two-dimensional counterpart where the correlation functions pertain to the group $\mathrm{SL}(2,\mathbb C)$.

MathematicsPhysics

Audience: researchers in the topic

Seminario de Geometría y Física - Matemática UCN-USP