Anti-de Sitter vacua of gauged supergravities with 8 supercharges

Anti-de Sitter vacua of gauged supergravities with 8 supercharges
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具有 8 个增压的计量超重力反德西特真空

DOI:
10.1103/physrevd.61.101901
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
M. Cvetič
M. Cvetič
中科院分区:
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文献类型:
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作者:
K. Behrndt;M. Cvetič

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本文研究了四维和五维中具有非平凡矢量多重态和8个超荷的阿贝尔规范超引力理论的超对称极值。这些模型的标量场参数化的歧管组成的断开的分支和限制的情况下,该歧管有一个非奇异的度量,我们表明,在每一个分支可以有最多一个极值,这是一个局部最大值(W>0)或最小值(W<0)的超势W。因此,这些超引力模型不允许在超势的不同极值之间插值的规则域壁解,并且横向于壁的时空总是渐近地接近AdS的边界(对偶场论中的UV不动点)。(c)2000年,美国物理学会。
We investigate supersymmetric extrema of Abelian gauged supergravity theories with nontrivial vector multiplets and 8 supercharges in four and five dimensions. The scalar fields of these models parametrize a manifold consisting of disconnected branches and, restricting to the case where this manifold has a nonsingular metric, we show that on every branch there can be at most one extremum, which is a local maximum (for W>0) or a minimum (for W<0) of the superpotential W. Therefore, these supergravity models do not allow for regular domain wall solutions interpolating between different extrema of the superpotential and the space-time transverse to the wall asymptotically always approaches the boundary of AdS (UV-fixed points in a dual field theory). (c) 2000 The American Physical Society.