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**Harvard**

Chu, X. och Nilsson, B. (2010) *Three-dimensional topologically gauged N=6 ABJM type theories*.

** BibTeX **

@article{

Chu2010,

author={Chu, Xiaoyong and Nilsson, Bengt E. W.},

title={Three-dimensional topologically gauged N=6 ABJM type theories},

journal={Journal of High Energy Physics},

issn={1126-6708},

issue={6},

pages={Art. no 057},

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.},

year={2010},

keywords={M-Theory, D-branes, Chern-Simons Theories, Supergravity Models, 3 dimensions, gravity },

}

** RefWorks **

RT Journal Article

SR Electronic

ID 123949

A1 Chu, Xiaoyong

A1 Nilsson, Bengt E. W.

T1 Three-dimensional topologically gauged N=6 ABJM type theories

YR 2010

JF Journal of High Energy Physics

SN 1126-6708

IS 6

AB 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.

LA eng

DO 10.1007/JHEP06(2010)057

LK http://dx.doi.org/10.1007/JHEP06(2010)057

OL 30