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Topologically gauged superconformal Chern-Simons matter theories · Around

2012

Topologically gauged superconformal Chern-Simons matter theories

Gran, Ulf, Greitz, Jesper, Howe, Paul et al.

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By coupling {\cal N}=8 superconformal matter to {\cal N}=8 superconformal Chern-Simons gravity in three dimensions we obtain theories with novel terms in the scalar potential leading to AdS_3 solutions and superconformal symmetry breaking.

If we start from the theory derived by Bagger, Lambert and Gustavsson, our coupled theory either inherits the SO(4) gauge group or reduces it to SO(3).
If the construction is instead based on a free matter theory we find that the gravitational topological gauging also requires the introduction of a Chern-Simons gauge sector resulting in a consistent theory for any SO(N) gauge group.

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Similar

W. Li, W. Song, A. Strominger, “Chiral Gravity in Three Dimensions,” JHEP 0804
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U. Gran, B. E. W. Nilsson and C. Petersson, “On relating multiple M2 and D2-branes,” JHEP 0810
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M. Van Raamsdonk, “Comments on the Bagger-Lambert theory and multiple M2-branes,” JHEP 0805
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M. Cederwall, “N=8 superfield formulation of the Bagger-Lambert-Gustavsson model,” JHEP 0809
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Then

I. L. Buchbinder, E. A. Ivanov, O. Lechtenfeld, N. G. Pletnev, I. B. Samsonov and B. M. Zupnik, “ABJM models in N=3 harmonic superspace,” JHEP 0903
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2009
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X. Chu, B. E. W. Nilsson, “Three-dimensional topologically gauged N=6 ABJM type theories,” JHEP 1006
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2010
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H. Samtleben and R. Wimmer, “N=8 Superspace Constraints for Three-dimensional Gauge Theories,” JHEP 1002
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H. Samtleben and R. Wimmer, “N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators,” JHEP 1010
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2010
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F. Brandt, “Supersymmetry Algebra Cohomology: II. Primitive Elements in 2 and 3 Dimensions,” J. Math. Phys. 51

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