Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection

Abstract We explore emergent geometry of the spacetime at microscopic scale by adiabatic transport a quasi-coherent state fermionic string, with quantum described matrix theory (BFSS model). show that generator Berry phase is shift vector foliation spacelike surfaces associated state. The operator-valued geometric weak Lorentz connection which not torsion free scale. effects seem consistent usual interpretation curvature as pseudo magnetic field.