Dynamical phase space from a SO(d,d) matrix model

Understand

It is shown that a matrix model with SO(d,d) global symmetry is derived from a generalized Yang-Mills theory on the standard Courant algebroid.

• This model keeps all the positive features of the well-studied type IIB matrix model, and it has many additional welcome properties.
• We show that it does not only capture the dynamics of spacetime, but it should be associated with the dynamics of phase space.
• This is supported by a large set of classical solutions of its equations of motion, which corresponds to phase spaces of noncommutative curved manifolds and points to a new mechanism of emergent gravity.