Strongly coupled large N spectrum of two matrices coupled via a Yang-Mills interaction

Understand

We consider the large N spectrum of the quantum mechanical hamiltonian of two hermitean matrices coupled via a Yang-Mills interaction.

• In a framework where one of the matrices is treated exactly and the other is treated as a creation operator impurity, the difference equation associated with the Yang-Mills interaction is derived and solved exactly for two impurities.
• In this case, the full string tension corrected spectrum depends on two momenta.
• For a specific value of one of these momenta, the spectrum has the same structure as that of giant magnon bound states.