| 1. |
- Arai, Masato, et al.
(author)
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Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace
- 2007
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In: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; :2, s. 100-
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Journal article (peer-reviewed)abstract
- Kahler manifolds have a natural hyperkahler structure associated with (part of) their cotangent bundles. Using projective superspace, we construct four-dimensional N=2 models on the tangent bundles of some classical Hermitian symmetric spaces (specifically, the four regular series of irreducible compact symmetric Kahler manifolds, and their non-compact versions). A further dualization yields the Kahler potential for the hyperkahler metric on the cotangent bundle.
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| 2. |
- Arai, Masato, et al.
(author)
-
Polar supermultiplets, Hermitian symmetric spaces and hyperkahler metrics
- 2007
-
In: Journal of High Energy Physics (JHEP). - : Springer Science and Business Media LLC. - 1126-6708 .- 1029-8479. ; 12, s. 008-
-
Journal article (peer-reviewed)abstract
- We address the construction of four-dimensional N = 2 supersymmetric non-linear sigma models on tangent bundles of arbitrary Hermitian symmetric spaces startingfrom projective superspace. Using a systematic way of solving the (infinite number of) aux-iliary field equations along with the requirement of supersymmetry, we are able to derivea closed form for the Lagrangian on the tangent bundle and to dualize it to give the hy-perk ̈hler potential on the cotangent bundle. As an application, the case of the exceptional asymmetric space E6 / SO(10) × U(1) is explicitly worked out for the first time.
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| 3. |
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