标题： N=1超对称性、去构造化和玻色规范理论 显示英文标题

标题： N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories

摘要： 我们展示如何从矩阵模型中得到具有N=1超对称性的局部Calabi-Yau三维紧化完整的全纯几何结构。 特别是对于锥形几何，我们将F项与c=1非临界玻色弦理论的广义幅度联系起来，并用箭量或者等价的超矩阵模型表示它们。 此外，通过去构造方法，我们将未紧化的c=1理论与六维共形(2,0)理论联系起来。 进一步地，我们展示了如何利用去构造的思想将4+k维超对称规范场论与k维内部玻色规范场论连接起来，推广了4维理论与矩阵模型之间的关系。 这类玻色系统的例子包括幺正矩阵模型和规范化的矩阵量子力学（它们去构造5维超对称规范场论），以及Chern-Simons规范场论（它们去构造生活在Calabi-Yau三维流形上环绕周期的膜上的规范场论）。 显示英文摘要

摘要： We show how the full holomorphic geometry of local Calabi-Yau threefold compactifications with N=1 supersymmetry can be obtained from matrix models. In particular for the conifold geometry we relate F-terms to the general amplitudes of c=1 non-critical bosonic string theory, and express them in a quiver or, equivalently, super matrix model. Moreover we relate, by deconstruction, the uncompactified c=1 theory to the six-dimensional conformal (2,0) theory. Furthermore, we show how we can use the idea of deconstruction to connect 4+k dimensional supersymmetric gauge theories to a k-dimensional internal bosonic gauge theory, generalizing the relation between 4d theories and matrix models. Examples of such bosonic systems include unitary matrix models and gauged matrix quantum mechanics, which deconstruct 5-dimensional supersymmetric gauge theories, and Chern-Simons gauge theories, which deconstruct gauge theories living on branes wrapped over cycles in Calabi-Yau threefolds.