Modular conjugations in 2D conformal field theory and holographic bit threads

A bstract We study the geometric action of some modular conjugations in two dimensional (2D) conformal field theories. investigate bipartition given by an interval when system is ground state, either on line or circle, and thermal Gibbs state line. find that restriction corresponding inversion maps to a spatial slice obtained also gauge/gravity correspondence through geodesic bit threads constant time dual static asymptotically AdS background. For theory line, conjugation suggests occurrence second world which can be related horizon BTZ black brane An map constructed for massless Dirac fermion bipartite union disjoint intervals.