| 1. |
- Chu, X., et al.
(författare)
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Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory
- 2011
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2011:4, s. Art. no 040-
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Tidskriftsartikel (refereegranskat)abstract
- We present the higgsing of three-dimensional N = 6 superconformal ABJM type theories coupled to conformal supergravity, so called topologically gauged ABJM theory, thus providing a gravitational extension of previous work on the relation between N M2 and N D2-branes. The resulting N = 6 supergravity theory appears at a chiral point similar to that of three-dimensional chiral gravity introduced recently by Li, Song and Strominger, but with the opposite sign for the Ricci scalar term in the lagrangian. We identify the supersymmetry in the broken phase as a particular linear combination of the supersymmetry and special conformal supersymmetry in the original topologically gauged ABJM theory. We also discuss the higgsing procedure in detail paying special attention to the role played by the U(1) factors in the original ABJM model and the U(1) introduced in the topological gauging.
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| 2. |
- Chu, X., et al.
(författare)
-
Three-dimensional topologically gauged N=6 ABJM type theories
- 2010
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2010:6, s. Art. no 057-
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Tidskriftsartikel (refereegranskat)abstract
- In this paper we construct the N = 6 conformal supergravity in three dimensions from a set of Chern-Simons-like terms one for each of the graviton, gravitino, and R-symmetry gauge field and then couple this theory to the N = 6 superconformal ABJM theory. In a first step part of the coupled Lagrangian for this topologically gauged ABJM theory is derived by demanding that all terms of third and second order in covariant derivatives cancel in the supersymmtry variation of the Lagrangian. To achieve this the transformation rules of the two separate sectors must be augmented by new terms. In a second step we analyze all terms in delta L that are of first order in covariant derivatives. The cancelation of these terms require additional terms in the transformation rules as well as a number of new terms in the Lagrangian. As a final step we check that all remaining terms in dL which are bilinear in fermions cancel which means that the presented Lagrangian and transformation rules constitute the complete answer. In particular we find in the last step new terms in the scalar potential containing either one or no structure constant. The non-derivative higher fermion terms in delta L that have not yet been completely analyzed are briefly discussed in the Conclusions. A possible connection to chiral gravity is also mentioned there.
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