Speaker
Description
we discuss differences and similarities between CFT correlators in Euclidean and Minkowski treatments. As a concrete illustration, we discuss CFT correlators via {\it principal series representation} for non-compact Lie groups by focussing on 1-d CFT, and in particular, discuss SYK-like models. Euclidean correlators can be expanded in OPE in terms of an infinite set of conformal primaries, with dimensions $\Delta_n=h_n= 2\delta_0 + 2n+1 + \gamma_n$. In addition, there is a special contribution from a term which saturates to the chaos bound, with $\Delta_0=2$. The same theory can equivalent be organized in terms of an infinite set of Regge trajectories, with a leading graviton trajectory" with intercept $j_0=2$. In addition, there exists an infinite set of lower trajectories with intercept $j_n=-2\delta_0 - 2n -1+ \epsilon_n$. These two representations aredual" for 1-d CFT, and can be considered as a ``contraction" of $\Delta-{j}$ curve from CFT initially defined at $1
