Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
- Department of Physics and Research Institute of Basic Science, Kyung Hee University, Seoul 130-701 (Korea, Republic of)
We consider how to take an orbifold reduction for the multiple M2-brane theory recently proposed by Bagger and Lambert, and discuss its relation to Chern-Simons theories. Starting from the infinite dimensional 3 algebra realized as Nambu bracket on a 3 torus, we first suggest an orbifolding prescription for various fields. Then we introduce a second truncation, which effectively reduces the internal space to a 2 torus. Eventually, one obtains a large-N limit of Chern-Simons gauge theories coupled to matter fields. We consider an Abelian orbifold C{sup 4}/Z{sub n}, and illustrate how one can arrive at the N=6 supersymmetric theories with gauge groups U(N)xU(N) and Chern-Simons levels (k,-k), as recently constructed by Aharony, Bergman, Jafferis, and Maldacena.
- OSTI ID:
- 21409674
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.086006; (c) 2010 The American Physical Society; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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