A New N=4 Membrane Action via Orbifold
May, 2008
22 pages
Published in:
- Nucl.Phys.B 810 (2009) 354-368
e-Print:
- 0805.1997 [hep-th]
Report number:
- YITP-08-36,
- UT-08-15
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Abstract: (Elsevier)
We propose a new Lagrangian describing N = 4 superconformal field theory in three dimensions. This theory is believed to describe interacting field theory on the worldvolume of a M2-brane on an orbifold, and is obtained as a Z 2 -quotient of the theory proposed by Bagger and Lambert. Despite unusual Chan–Paton structures, we can take Z 2 -orbifold by using SU ( 2 ) × SU ( 2 ) bifundamental representations. We also analyze the moduli space of this theory and found three branches. With an assumption of a broken U ( 1 ) symmetry, the moduli space is consistent with that of the D2-brane in the strong coupling limit of Type IIA string theory if the gauge group is O ( 4 ) . Our action has manifest Z 2 -symmetry exchanging two R 4 / Z 2 's in M-theory, and this suggests a new non-perturbative duality between a O2 − -brane on orbifold R 4 / Z 2 and a O2 − -brane with D6-branes.- field theory: conformal
- supersymmetry: 4
- dimension: 3
- symmetry: SU(2) x SU(2)
- fermion: Majorana
- dimension: 11
- orbifold: Z(2)
- moduli space
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