The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration

Abstract

In this note, we study the sub-Laplacian of the 15-dimensional octonionic anti-de Sitter space, which is obtained by lifting with respect to the anti-de Sitter fibration the Laplacian of the octonionic hyperbolic space 𝕆𝐻¹. We also obtain two integral representations for the corresponding subelliptic heat kernel.