Looking for a Matrix model for ABJM theory

Journal Article · Fri Oct 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.086004· OSTI ID:21432438

Mohammed, Asadig ^[1]; Murugan, Jeff ^[1]; Nastase, Horatiu ^[2]

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1. Astrophysics, Cosmology and Gravity Center, Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch 7700 (South Africa)
2. Global Edge Institute, Tokyo Institute of Technology, Meguro, Tokyo 152-8550 (Japan)

Encouraged by the recent construction of fuzzy sphere solutions in the Aharony, Bergman, Jafferis, and Maldacena (ABJM) theory, we re-analyze the latter from the perspective of a Matrix-like model. In particular, we argue that a vortex solution exhibits properties of a supergraviton, while a kink represents a 2-brane. Other solutions are also consistent with the Matrix-type interpretation. We study vortex scattering and compare with graviton scattering in the massive ABJM background, however our results are inconclusive. We speculate on how to extend our results to construct a Matrix theory of ABJM.

• OSTI ID: 21432438
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BRANES
COMPARATIVE EVALUATIONS
D-BRANES
EVALUATION
FUZZY LOGIC
MATHEMATICAL LOGIC
MATHEMATICAL SOLUTIONS
SCATTERING
SIMULATION