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arXiv 1406.6459hep-th
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涌现引力中的史瓦西瞬子

Schwarzschild Instanton in Emergent Gravity

Sumanto Chanda, Partha Guha, Raju Roychowdhury

摘要:

在突现引力的自底向上方法中,我们试图寻找从欧氏史瓦西瞬子中突现的辛规范场,并将其作为定义在辛空间$(M,ω)$上的电磁场来研究。几何工程与涌现度规建立了交换和非交换规范场之间的塞伯格-威滕映射,为根据基本的规范理论量来评估拓扑不变量奠定了基础。

英文摘要:

In the bottom-up approach of emergent gravity we attempt to find symplectic gauge fields emerging from Euclidean Schwarzschild instanton, which is studied as electromagnetism defined on the symplectic space $(M,ω)$. Geometrical engineering with the emergent metric sets up the Seiberg Witten map between commutative and non-commutative gauge fields, preparing the ground for the evaluation of topological invariants in terms of the underlying gauge theory quantities.

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