Exact results for the entanglement entropy and the energy radiated by a quark

Understand

We consider a spherical region with a heavy quark in the middle.

• We compute the extra entanglement entropy due to the presence of a heavy quark both in ${\cal N}=4 $ Super Yang Mills and in the ${\cal N}=6$ Chern-Simons matter theory (ABJM).
• This is done by relating the computation to the expectation value of a circular Wilson loop and a stress tensor insertion.
• We also give an exact expression for the Bremsstrahlung function that determines the energy radiated by a quark in the ABJM theory.