Matrix theory points to a non‑Lorentzian version of supergravity emerging from D‑particle decoupling limits
Researchers report evidence that a low‑energy, non‑Lorentzian form of supergravity arises from the same decoupling limits that give the BFSS
Researchers report evidence that a low‑energy, non‑Lorentzian form of supergravity arises from the same decoupling limits that give the BFSS matrix theory of D‑particles. In these limits the usual relativistic notion of spacetime geometry breaks down. Instead the target space has an absolute time direction and is best described by a non‑Lorentzian geometry. The authors focus on the D‑particle case and use string‑inspired methods to connect the matrix theory side to a bulk gravitational description.
Concretely, the paper isolates a truncated, leading‑order bulk theory that is invariant under Galilean boosts (the symmetry of Newtonian physics) and an emergent scale symmetry. This truncated theory is what the authors call a non‑Lorentzian supergravity. They argue that this truncated regime corresponds to a “moderately large” number N of D‑particles and that it can be seen as a null reduction of eleven‑dimensional supergravity. To probe the dynamical rules of that gravity, they apply tools from ambitwistor string theory — a version of string theory focused on the propagation of massless modes — and argue the non‑Lorentzian dynamics should be tied to anomalies in the current algebra on the fundamental string worldsheet. These anomalies can be described by a curved βγ system, a two‑dimensional field model that tracks certain worldsheet degrees of freedom.
At a higher, truly large N, the authors describe how the collective backreaction of many D‑particles deforms the non‑Lorentzian bulk into the familiar Lorentzian type IIA supergravity. In other words, when the D‑particles are strong enough as a group, their effect restores the usual relativistic bulk spacetime and gives the standard holographic dual expected for the strongly coupled BFSS matrix theory. By contrast, at moderately large N the leading behavior is captured by the non‑Lorentzian truncated theory, which maps holographically to the leading contribution of a weakly coupled bulk gravity.