论文标题
在四维n = 2保质超重力中放松的超多重超强
Relaxed hypermultiplet in four dimensional N=2 conformal supergravity
论文作者
论文摘要
超符合物质多重组在庞加雷超级不变性的构建中起着至关重要的作用。外壳多重组允许在超级重力中构建一般物质耦合。在nucl中。物理。 B214(1983)519-531,在刚性的超对称性中构建了松弛的超级变性,这与真实的标量多重组耦合,允许使用刚性超多重的外壳配方。在本文中,我们将放松的超级植物扩展到保形超级强度。为了与超符号代数一致,我们发现必须允许在su(2)对称性下以非典型方式转换这些场。我们发现合适的场重新定义以获得SU(2)R-对称性不可约表示的字段,并呈现完整的非线性转换规则。
Superconformal matter multiplets play a crucial role in the construction of Poincare supergravity invariants. Off-shell multiplets allow for construction of general matter couplings in supergravity. In Nucl. Phys. B214 (1983) 519-531, relaxed hypermultiplet was constructed in rigid supersymmetry which on coupling with the real scalar multiplet allowed for an off-shell formulation of the rigid hypermultiplet. In this paper, we extend the relaxed hypermultiplet to conformal supergravity. For consistency with the superconformal algebra, we find that the fields have to be allowed to transform in a non-canonical way under SU(2) symmetry. We find suitable field redefinitions to obtain fields which are irreducible representations of SU(2) R-symmetry and present the full non-linear transformation rule.