HEP Theory Journal Club

On the Origin of the SO(9) → SO(3) × SO(6) Symmetry Breaking in the IKKT Matrix Model

Julia Pasiecznik

McGill University

We suggest a dynamical mechanism which explains why in the supersymmetric IKKT matrix model the SO(9) symmetry of the Lagrangian is spontaneously broken to SO (3) × SO(6), allowing only three large classical spatial dimensions to emerge. The argument relies on the identification of D1-strings as stable excitations of the matrices about the cosmological background, and the absence of forces between parallel D1-string excitations. A spatial dimension can only become large if the D1-strings winding that direction can annihilate. In the absence of forces, this requires the string world sheets to intersect, a process which is highly suppressed if more than three dimensions of space are large. Implications for a recently proposed matrix cosmology scenario are discussed.