Supersymmetric massive truncations of type IIB supergravity on Sasaki-Einstein manifolds

Supersymmetric massive truncations of type IIB supergravity on Sasaki-Einstein manifolds
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Sasaki-Einstein流形上IIB型超引力的超对称质量截断

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发表时间:
2010
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Zhi
Zhi
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作者:
James T. Liu;Phillip Szepietowski;Zhi

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出于最近的兴趣在应用程序的AdS/CFT对应凝聚态应用涉及费米子,我们提出了最近的大规模截断的IIB超引力Sasaki爱因斯坦流形的超对称完成。特别地,我们减少了IIB超引力的费米子扇区,得到了耦合到一个超多重态和一个大质量矢量多重态的五维N = 2超引力。给出并分析了超对称变换和运动方程。最后,一个特别有趣的截断N = 2超引力耦合到一个单一的超多重态,这是最近建立的玻色子理论对偶的3 + 1维系统表现出超导相变的超对称完成。
Motivated by recent interest in applications of the AdS/CFT correspondence to condensed matter applications involving fermions, we present the supersymmetric completion of the recent massive truncations of IIB supergravity on Sasaki-Einstein manifolds. In particular, we reduce the fermionic sector of IIB supergravity to obtain five-dimensional N = 2 supergravity coupled to one hypermultiplet and one massive vector multiplet. The supersymmetry transformations and equations of motion are presented and analyzed. Finally, a particularly interesting truncation to N = 2 supergravity coupled to a single hypermultiplet is presented which is the supersymmetric completion of the recently constructed bosonic theory dual to a 3 + 1 dimensional system exhibiting a superconducting phase transition.