Existence of a holographic framework for the Lorentzian IKKT matrix model

Determine whether a holographic dual framework analogous to the Euclidean IKKT construction exists for the Lorentzian IKKT matrix model. Specifically, ascertain the existence and explicit formulation of a one-dimensional maximal gauged supergravity description arising from a consistent truncation of type IIB* supergravity that captures the SO(9,1)-invariant flat background and accommodates the qualitative differences observed in the Lorentzian IKKT model.

Background

The paper constructs a one-dimensional maximal SO(10)-gauged supergravity as a supergravity dual for the Euclidean IKKT matrix model by consistently truncating Euclidean type IIB supergravity on S^9 and establishing the holographic dictionary with the lowest BPS multiplet of IKKT operators.

In contrast, the Lorentzian IKKT model exhibits qualitative differences in numerical studies and its dual background is expected to relate to SO(9,1)-invariant configurations within hyperboloid truncations of IIB* supergravity. The authors explicitly highlight the lack of an analogous holographic framework for the Lorentzian case, identifying it as an open question.