Covariantized Matrix theory for D-particles

Abstract

We reformulate the Matrix theory of D-particles in a manifestly Lorentz-covariant fashion in the sense of 11 dimesnional flat Minkowski space-time, from the viewpoint of the so-called DLCQ interpretation of the light-front Matrix theory. The theory is characterized by various symmetry properties including higher gauge symmetries, which contain the usual SU($N$) symmetry as a special case and are extended from the structure naturally appearing in association with a discretized version of Nambu's 3-bracket. The theory is scale invariant, and the emergence of the 11 dimensional gravitational length, or M-theory scale, is interpreted as a consequence of a breaking of the scaling symmetry through a super-selection rule. In the light-front gauge with the DLCQ compactification of 11 dimensions, the theory reduces to the usual light-front formulation. In the time-like gauge with the ordinary M-theory spatial compactification, it reduces to a non-Abelian Born-Infeld-like theory, which in the limit of large $N$ becomes equivalent with the original BFSS theory.

47 pages, 1 figure, the version to be published in JHEP, corrected typos, added sentences and references

References in corpus (3)

• Bagger-Lambert Theory for General Lie Algebras
• N=8 superconformal gauge theories and M2 branes
• Field Theory of Yang-Mills Quantum Mechanics for D Particles

Cited by in corpus (4)

• Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes
• Classification of the classical $SL(2,\mathbb{R})$ gauge transformations in the rigid body
• Supersymmetric M2-Brane Matrix Model with Restricted Volume-Preserving Deformations: Lorentz Covariance and BPS Spectrum
• D-dependence of gap between critical temperatures in one-dimensional gauge theories