1,364 research outputs found
A Nonabelian Tensor Multiplet Theory in 6D
We construct a general nonabelian (1,0) tensor multiplet theory in six
dimensions. The gauge field of this (1,0) theory is non-dynamical, and the
theory contains a continuous parameter . When , the (1,0) theory
possesses an extra discrete symmetry enhancing the supersymmetry to (2,0), and
the theory turns out to be identical to the (2,0) theory of Lambert and
Papageorgakis (LP). Upon dimension reduction, we obtain a general
supersymmetric Yang-Mills theory in five dimensions. The applications of the
theories to D4 and M5-branes are briefly discussed.Comment: 18 pages, published in JHEP. minor changes, references adde
Superalgebra Realization of the 3-algebras in N=6, 8 Chern-Simons-matter Theories
We use superalgebras to realize the 3-algebras used to construct N=6, 8
Chern-Simons-matter (CSM) theories. We demonstrate that the superalgebra
realization of the 3-algebras provides a unified framework for classifying the
gauge groups of the N \geq 5 theories based on 3-algebras. Using this
realization, we rederive the ordinary Lie algebra construction of the general
N=6 CSM theory from its 3-algebra counterpart, and reproduce all known examples
as well. In particular, we explicitly construct the Nambu 3-bracket in terms of
a double graded commutator of PSU(2|2). The N = 8 theory of Bagger, Lambert and
Gustavsson (BLG) with SO(4) gauge group is constructed by using several
different ways. A quantization scheme for the 3-brackets is proposed by
promoting the double graded commutators as quantum mechanical double graded
commutators.Comment: 29 pages, minor changes, published in JM
Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5 Superconformal Chern-Simons Matter Theories
We present a superspace formulation of the D=3, N=4,5 superconformal
Chern-Simons Matter theories, with matter supermultiplets valued in a
symplectic 3-algebra. We first construct an N=1 superconformal action, and then
generalize a method used by Gaitto and Witten to enhance the supersymmetry from
N=1 to N=5. By decomposing the N=5 supermultiplets and the symplectic 3-algebra
properly and proposing a new super-potential term, we construct the N=4
superconformal Chern-Simons matter theories in terms of two sets of generators
of a (quaternion) symplectic 3-algebra. The N=4 theories can also be derived by
requiring that the supersymmetry transformations are closed on-shell. The
relationship between the 3-algebras, Lie superalgebras, Lie algebras and
embedding tensors (proposed in [E. A. Bergshoeff, O. Hohm, D. Roest, H.
Samtleben, and E. Sezgin, J. High Energy Phys. 09 (2008) 101.]) is also
clarified. The general N=4,5 superconformal Chern-Simons matter theories in
terms of ordinary Lie algebras can be rederived in our 3-algebra approach. All
known N=4,5 superconformal Chern-Simons matter theories can be recovered in the
present superspace formulation for super-Lie-algebra realization of symplectic
3-algebras.Comment: 37 pages, minor changes, published in PR
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