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Cima, O.M. Del; Franco, Daniel H. T.; Helayël-Neto, J. A.; Piguet, O.

doi:10.1023/a:1007595121742

Cited by 24 publications

(20 citation statements)

References 10 publications

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“…This would lead to a kind of local Gribov-Zwanziger action for Yang-Mills-Chern-Simons theory. Furthermore, it has been established that both Chern-Simons and Yang-Mills-Chern-Simons theories are ultraviolet finite [30,31]. It would be interesting to check if these finiteness properties would still hold in the presence of the horizon term.…”

Section: Resultsmentioning

confidence: 99%

Study of Yang–Mills–Chern–Simons theory in presence of the Gribov horizon

et al. 2014

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Section: Resultsmentioning

confidence: 99%

Study of Yang–Mills–Chern–Simons theory in presence of the Gribov horizon

et al. 2014

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“…To pursue this one would also want to study the superconformal symmetry of any proposed dual Chern-Simons theories at the quantum level. (For references on renormalization properties of Chern-Simons theories see [19] [20] [21]. )…”

Section: Discussionmentioning

confidence: 99%

Superconformal Chern–Simons Theories

Bandres¹,

Lipstein²,

Schwarz³

2004

J. High Energy Phys.

367

657

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“…Less extended supersymmetric (N < 4) CSM theories with arbitrary gauge groups were constructed and investigated a long time ago [1][2][3][4][5][6]. Generic Chern-Simons gauge theories with or without (massless) matter were demonstrated to be conformally invariant even at the quantum level [7][8][9][10][11]. However, it was much more difficult until recently to construct N !…”

Section: Introductionmentioning

confidence: 99%

Superspace formulation in a three-algebra approach toD=3,N=4, 5 superconformal Chern-Simons matter theories

Chen

2010

Phys. Rev. D

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We present a superspace formulation of the D ¼ 3, N ¼ 4, 5 superconformal Chern-Simons Matter theories, with matter supermultiplets valued in a symplectic 3-algebra. We first construct an N ¼ 1 superconformal action and then generalize a method used by Gaitto and Witten to enhance the supersymmetry from N ¼ 1 to N ¼ 5. By decomposing the N ¼ 5 supermultiplets and the symplectic 3-algebra properly and proposing a new superpotential term, we construct the N ¼ 4 superconformal Chern-Simons matter theories in terms of two sets of generators of a (quaternion) symplectic 3-algebra. The N ¼ 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 ¼ 4, 5 superconformal Chern-Simons matter theories in terms of ordinary Lie algebras can be re-derived in our 3-algebra approach. All known N ¼ 4, 5 superconformal Chern-Simons matter theories can be recovered in the present superspace formulation for super-Lie algebra realization of symplectic 3-algebras.

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Cited by 24 publications

References 10 publications

Study of Yang–Mills–Chern–Simons theory in presence of the Gribov horizon

Study of Yang–Mills–Chern–Simons theory in presence of the Gribov horizon

Superconformal Chern–Simons Theories

Superspace formulation in a three-algebra approach toD=3,N=4, 5 superconformal Chern-Simons matter theories

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