论文标题

$ {\ cal n} = 2 \,$谐波超级空间

${\cal N}=2\,$ Supergravities in Harmonic Superspace

论文作者

Ivanov, Evgeny

论文摘要

概述了$ {\ cal n} = 2,4d $ conformal和Harmonic Superspace方法中的Einstein Supergravities的基础知识。 The crucial merit of this formulation consists in that the relevant off-shell supermultiplets, in particular ${\cal N}=2, 4D$ superconformal Weyl multiplet, are accommodated by the harmonic-analytic unconstrained prepotentials with a clear geometric meaning, like in the analogous formulation of ${\cal N}=2, 4D$ supersymmetric gauge theory.共形超级重力的基本量规是由谐波超空间的分析性的差异性构成的。 $ {\ cal n} = 2 $ Einstein Supergravity的各种非壳版本的超级场动作是作为在保形$ {\ cal N} = 2 $ SuperGravity背景下适当的谐波分析补偿器的动作。该版本承认与Quaternion-KählerMatter的最一般耦合是``principtal''版本,其不受约束的谐波分析超强超级超级领域是补偿器。它涉及无限数量的辅助场。

Basics of ${\cal N}=2, 4D$ conformal and Einstein supergravities in the harmonic superspace approach are outlined. The crucial merit of this formulation consists in that the relevant off-shell supermultiplets, in particular ${\cal N}=2, 4D$ superconformal Weyl multiplet, are accommodated by the harmonic-analytic unconstrained prepotentials with a clear geometric meaning, like in the analogous formulation of ${\cal N}=2, 4D$ supersymmetric gauge theory. The fundamental gauge group of conformal supergravity is constituted by the analyticity-preserving diffeomorphisms of harmonic superspace. The superfield actions of various off-shell versions of ${\cal N}=2$ Einstein supergravity are obtained as the actions of the appropriate harmonic analytic compensators in the background of conformal ${\cal N}=2$ supergravity. The version admitting the most general couplings to quaternion-Kähler matter is the ``principal'' version with the unconstrained harmonic analytic hypermultiplet superfield as a compensator. It involves an infinite number of auxiliary fields.

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