Spontaneous Breaking of Diffeomorphism Invariance in Matrix Theory

Details Spontaneous Breaking of Diffeomorphism Invariance in Matrix Theory Spontaneous Breaking of Diffeomorphism Invariance in Matrix Theory

2002-02-20

arxiv.org/abs/hep-th/0202138v3

Physics

High Energy Physics

High Energy Physics - Theory

5pgs. Shorter Version of hep-th/0201129

Scientific paper

We present a matrix action based on the unitary group U(N) whose large N ground states are conjectured to be in precise correspondence with the weak-strong dual effective field theory limits of M theory preserving sixteen supersymmetries. We identify a finite N matrix algebra that corresponds to the spacetime and internal symmetry algebra of the Lorentz invariant field theories obtained in the different large N limits. The manifest diffeomorphism invariance of matrix theory is spontaneously broken upon specification of the large N ground state. We verify that there exist planar limits which yield the low energy spacetime effective actions of all six supersymmetric string theories in nine spacetime dimensions and with sixteen supercharges.

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