Polar supermultiplets, Hermitian symmetric spaces and hyperkahler metrics

• 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.

Ämnesord

NATURVETENSKAP  -- Fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences (hsv//eng)

Nyckelord

Sigma Models

Extended Supersymmetry

Differential and Algebraic Geometry.

Physics

Fysik

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)