Monodromy methods for torus conformal blocks and entanglement entropy at large central charge

We compute the entanglement entropy in a two dimensional conformal field theory at finite size and temperature large central charge limit via replica trick. first generalize known monodromy method for calculation of blocks on plane to torus. Then, we derive zero-point partition function. explain differences between methods before applying them entropy. find that contribution vacuum exchange dominates class CFTs, leading universal results agreement with holographic predictions from RT formula. Moreover, determine which regime function agrees correlation local twist operators