Studies of the D0-Matrix Models at Low Temperatures

Explore the low energy limit of D0-matrix models and their gravitational interpretations in this comprehensive lecture. Delve into the confined, stable phase in the matrix model at low energies and its interpretation as a gas of supergravitons in 11D spacetime. Examine the confinement/deconfinement transition and its interpretation as a topology change on the gravity side. Investigate the deconfined phase at low temperatures using the deformed D0-matrix model (BMN) to better test the gauge/gravity duality with small stringy corrections. Discover how this approach allows for an analytically known and valid supergravity dual. If time permits, analyze the role of singlet and non-singlet sectors in contributing to partition functions at low temperatures, supported by theoretical arguments and numerical verifications.