Masato Arai et al JHEP12(2007)008 doi:10.1088/1126-6708/2007/12/008
Polar supermultiplets, hermitian symmetric spaces and hyperkähler metrics
Masato Arai1, Sergei M. Kuzenko2 and Ulf Lindström3,4,5
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} = 2 supersymmetric nonlinear sigma models on tangent bundles of arbitrary Hermitian symmetric spaces starting from projective superspace. Using a systematic way of solving the (infinite number of) auxiliary field equations along with the requirement of supersymmetry, we are able to derive a closed form for the Lagrangian on the tangent bundle and to dualize it to give the hyperkähler potential on the cotangent bundle. As an application, the case of the exceptional symmetric space E6/SO(10) × U(1) is explicitly worked out for the first time.
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E-print Number: 0709.2633
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Issue 12 (December 2007)
Received 25 September 2007, accepted for publication 19 November 2007
Published 4 December 2007
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