Superconformal sigma models in three dimensions Academic Article

abstract

• We construct superconformal gauged sigma models with extended rigid supersymmetry in three dimensions. Those with N>4 have necessarily flat targets, but the models with N4 admit non-flat targets, which are cones with appropriate Sasakian base manifolds. Superconformal symmetry also requires that the three-dimensional spacetimes admit conformal Killing spinors which we examine in detail. We present explicit results for the gauged superconformal theories for N=1,2. In particular, we gauge a suitable subgroup of the isometry group of the cone in a superconformal way. We finally show how these sigma models can be obtained from Poincar supergravity. This connection is shown to necessarily involve a subset of the auxiliary fields of supergravity for N2. 2010 Elsevier B.V.

authors

• Sezgin, Ergin

published proceedings

• NUCLEAR PHYSICS B

author list (cited authors)

• Bergshoeff, E., Cecotti, S., Samtleben, H., & Sezgin, E.

citation count

• 15

complete list of authors

• Bergshoeff, E||Cecotti, S||Samtleben, H||Sezgin, E

publication date

• October 2010

publisher

• Elsevier  Publisher

published in

• Nuclear Physics B  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 51 Physical Sciences
• 5107 Particle And High Energy Physics

Digital Object Identifier (DOI)

• 10.1016/j.nuclphysb.2010.04.023

start page

• 266

end page

• 297

volume

• 838

issue

• 3

URL

• http://dx.doi.org/10.1016/j.nuclphysb.2010.04.023