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Curved domain walls of five-dimensional gauged supergravity

机译:五维超重力弯曲畴壁

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摘要

We study curved domain wall solutions for gauged supergravity theories obtained by gauging some of the isometrics of the manifold spanned by the scalars of vector and hypermultiplets. We first consider the case obtained by compactifying M-theory on a Calabi-Yau threefold in the presence of G-fluxes. It is found that supersymmetry allows for the construction of domain wall configurations with curved worldvolume and a cosmological constant. However it turns out that the equations of motion, if one insists on the supersymmetric ansatz for the scalars and warp factor, rule out solutions with a cosmological constant and allows only for Ricci-flat worldvolumes. Moreover, in the absence of flux, there are non-supersymmetric solutions with worldvolumes given by Einstein manifolds. Our results are then generalized to all five-dimensional gauged supergavity theories with vector and hypermultiplets. (C) 2002 Published by Elsevier Science B.V. [References: 44]
机译:我们针对规范的超重力理论研究弯曲的畴壁解决方案,该规范的超重力理论是通过测量矢量和超多重子的标量跨越的流形的等轴测图而获得的。我们首先考虑通过在存在G-通量的情况下在Calabi-Yau上将M-理论压缩三倍而获得的情况。发现超对称性允许构造具有弯曲世界体积和宇宙学常数的畴壁构造。但是事实证明,运动方程式,如果坚持使用超对称ansatz作为标量和翘曲因子,则排除具有宇宙学常数的解,并且仅允许Ricci平展世界体积。此外,在没有通量的情况下,存在具有爱因斯坦流形给出的世界体积的非超对称解。然后将我们的结果推广到具有矢量和超多重子集的所有五维规范超重力理论。 (C)2002由Elsevier Science B.V.出版[参考文献:44]

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