Constrained superfields from an anti-D3-brane in KKLT

Constrained superfields from an anti-D3-brane in KKLT
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KKLT 中抗 D3 膜的约束超场

DOI:
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发表时间:
2016
影响因子:
5.4
通讯作者:
T. Wrase
T. Wrase
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
B. Vercnocke;T. Wrase

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DS Vacua的KKLT结构[1]依赖于一个来自反D3膜的隆起项。Kachru,Pearson和Verlinde[2]认为,这种反D3膜在超对称理论中是激发态,因为它可以衰变到超对称基态。因此,反D3膜自发地破坏了超对称性,并且人们应该能够将反D3膜上的所有世界体积场包装成一个四维NDocentClass[12pt]{Minimum}usepackage{amsath}usepackage{wa ysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{matrssfs}usepackage{upgreek}setlong{oddsidemarin}{-69pt}例如in{Document}$mathcal{N}$$end{Document}=1超对称作用。在这里,我们推广了以前的结果,并确定了对应于反D3膜上所有自由度的约束超场。特别地,我们明确地证明了四个4D世界体积自旋产生了受约束的手征多重态S和YI,i=1,2,3满足S2=syi=0。我们还推测(并在即将出版的出版物中提供证据),矢量场Aμ和三个标量ϕi产生一个场强乘子Wα和三个手征乘子Hi,它们满足约束Swα=D‘α⋅SH i=0DocumentClass[12pt]{Minimum}UsPackage{amsmax}UsPack{amsFonts}UsPack{amssymb}UsPack{amsBsy}UsPack{masrsfs}Usepackage{upgreek}setLength{oddsidemargin}{μ_{Alpha}={overline{D}}_{overset{cdot}{Alpha}Left}({overline{H}}^i Ight)=0$$end{文档}。这是第一次在弦理论的构造中出现这种受约束的多重数。
The KKLT construction of dS vacua [1] relies on an uplift term that arises from an anti-D3-brane. It was argued by Kachru, Pearson and Verlinde [2] that this anti-D3-brane is an excited state in a supersymmetric theory since it can decay to a supersymmetric ground state. Hence the anti-D3-brane breaks supersymmetry spontaneously and one should be able to package all the world-volume fields on the anti-D3-brane into a four dimensional Ndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{N} $$end{document} = 1 supersymmetric action. Here we extend previous results and identify the constrained superfields that correspond to all the degrees of freedom on the anti-D3-brane. In particular, we show explicitly that the four 4D worldvolume spinors give rise to constrained chiral multiplets S and Yi, i = 1, 2, 3 that satisfy S2 = SYi = 0. We also conjecture (and provide evidence in a forthcoming publication) that the vector field Aμ and the three scalars ϕi give rise to a field strength multiplet Wα and three chiral multiplets Hi that satisfy the constraints SWα=D¯α⋅SH¯i=0documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ S{W}_{alpha }={overline{D}}_{overset{cdot }{alpha }}left(S{overline{H}}^i ight)=0 $$end{document}. This is the first time that such constrained multiplets appear in string theory constructions.