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3D gauged supergravity from SU(2) reduction of N = 1 6D supergravity

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dc.contributor.author Gava, Edi en_US
dc.contributor.author Karndumri, Parinya en_US
dc.contributor.author Narain, Kumar S. en_US
dc.date.accessioned 2010-12-17T10:11:34Z en_US
dc.date.accessioned 2011-09-07T20:19:01Z
dc.date.available 2010-12-17T10:11:34Z en_US
dc.date.available 2011-09-07T20:19:01Z
dc.date.issued 2010-09-11 en_US
dc.identifier.citation JHEP 09(2010)028 en_US
dc.identifier.uri http://hdl.handle.net/1963/4132 en_US
dc.description.abstract We obtain Yang-Mills $SU(2)\times G$ gauged supergravity in three dimensions from $SU(2)$ group manifold reduction of (1,0) six dimensional supergravity coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in the adjoint of $G$. The reduced theory is consistently truncated to $N=4$ 3D supergravity coupled to $4(1+\textrm{dim}\, G)$ bosonic and $4(1+\textrm{dim}\, G)$ fermionic propagating degrees of freedom. This is in contrast to the reduction in which there are also massive vector fields. The scalar manifold is $\mathbf{R}\times \frac{SO(3,\, \textrm{dim}\, G)}{SO(3)\times SO(\textrm{dim}\, G)}$, and there is a $SU(2)\times G$ gauge group. We then construct $N=4$ Chern-Simons $(SO(3)\ltimes \mathbf{R}^3)\times (G\ltimes \mathbf{R}^{\textrm{dim}G})$ three dimensional gauged supergravity with scalar manifold $\frac{SO(4,\,1+\textrm{dim}G)}{SO(4)\times SO(1+\textrm{dim}G)}$ and explicitly show that this theory is on-shell equivalent to the Yang-Mills $SO(3)\times G$ gauged supergravity theory obtained from the $SU(2)$ reduction, after integrating out the scalars and gauge fields corresponding to the translational symmetries $\mathbf{R}^3\times \mathbf{R}^{\textrm{dim}\, G}$. en_US
dc.format.extent 248570 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.publisher Springer en_US
dc.relation.ispartofseries arXiv.org;1006.4997v2 en_US
dc.relation.uri 10.1007/JHEP09(2010)028 en_US
dc.title 3D gauged supergravity from SU(2) reduction of N = 1 6D supergravity en_US
dc.type Article en_US
dc.contributor.department Elementary Particle Theory en_US
dc.contributor.area Physics en_US

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