A new N = 4 membrane action via orbifold
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...
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| Published in | Nuclear physics. B Vol. 810; no. 1; pp. 354 - 368 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
21.03.2009
|
| Online Access | Get full text |
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| Summary: | 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. |
|---|---|
| ISSN: | 0550-3213 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2008.11.012 |