Massive super-Yang–Mills quantum mechanics: Classification and the relation to supermembrane

2006/07/31 by Nakwoo Kim, Jeong-Hyuck Park · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.10.005

published as Nucl.Phys.B759:249-282,2006 · 1+42 pages; References added, to appear in NPB

arxiv created 2006/10/06 · openalex publication_date 2006/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the supersymmetric mass deformations of all the super Yang-Mills quantum mechanics, which are obtained by dimensional reductions of minimal super Yang-Mills in spacetime dimensions: ten, six, four, three and two. The resulting actions can be viewed as the matrix descriptions of supermembranes in nontrivial backgrounds of one higher dimensional supergravity theories. We also discuss the utmost generalization of the light-cone formulation of the Nambu-Goto action for a p-brane, including time dependent backgrounds.

Citations

• Three Dimensional Gravity and M-Theory
• Membranes and Matrix Models
• Another Conjecture about M(atrix) Theory
• Gauge theories in noncommutative geometry and generalization of the Born-Infeld model
• Noncritical M-theory: Three Dimensions
• Cosmological Constant Seesaw in Quantum Cosmology
• Classical and Quantum Nambu Mechanics
• Mtheory as a matrix model: A conjecture

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