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arXiv 0812.2901hep-thgr-qchep-lat
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超对称规范理论的反德西特空间

Anti-de Sitter space from supersymmetric gauge theory

Simon Catterall

摘要:

我们构造了一个具有${\cal N}=4$扭曲超对称性的四维Yang-Mills理论,其经典真空对应于四维反de Sitter空间.该理论利用了一个复杂的规范场,其实部是一个自旋连接,用于执行本地洛伦兹不变性。连接的虚部可以被解释为一个vierbein。拓扑结构保证了配分函数和经典真空与背景几何无关。此外,一个超对称和规范不变的晶格结构是可能的,产生一个非微扰的理论定义。

英文摘要:

We construct a four dimensional Yang-Mills theory with ${\cal N}=4$ twisted supersymmetry whose classical vacua correspond to four dimensional anti-de Sitter space. The theory utilizes a complex gauge field whose real part is a spin connection which is used to enforce local Lorentz invariance. The imaginary part of the connection can then be interpreted as a vierbein. The topological construction ensures that the partition function and classical vacua are independent of the background geometry. Additionally a supersymmetric and gauge invariant lattice construction is possible yielding a non-perturbative definition of the theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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