**EPR=ER in LLM**

Abstract:

We consider the EPR=ER ideas in the context of two entangled N=4 SYM theories in the Hilbert space of half-BPS SO(4) invariant states. Even though this sector of the theory does not carry enough entropy to build a macroscopic bridge, the knowledge over the wave functions of the quantum states allows us to design quantum bridges between both N=4 SYM in specific regions of their phase spaces. Time permitting, we can comment on the relation between entanglement entropy in this sector and in optically trapped ultra-cold atomic gases.