$\beta$-deformation for matrix model of M-theory

Understand

A new class of deformation of the matrix model of M-theory is considered.

• The deformation is analogous to the so-called $\b$-deformation of $D=3+1$, $\mN=4$ Super Yang-Mills theory, which preserves the conformal symmetry.
• It is shown that the deformed matrix model can be considered as a matrix model of M-theory on a certain curved background in eleven-dimensional supergravity, under a scaling limit involving the deformation parameter and $N$ (the size of the matrices).
• The background belongs to the so-called pp-wave type metric with a non-constant four-form flux depending linearly on transverse coordinates.