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摘要翻译：
研究了复流形上全纯线丛全空间上的上同调规范理论，通过路积分的U(1)等变局部化，得到了它们对基流形的约化。我们通过精确路径积分局部化证明了HEP-TH/0411280中与计算黑洞熵/Gromov-Witten不变量有关的局部曲线的约简，从而证明了这一普遍机制。在后一种方法中，考虑了全空间边界上单环涨落行列式的非平凡贡献，从而恢复了与四维规范理论的一致性。我们还研究了Calabi-Yau局域表面上的一类阿贝尔规范理论，描述了a-模型的量子泡沫，与Donaldson-Thomas不变量的计算有关。
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英文标题：
《Topological Gauge Theories on Local Spaces and Black Hole Entropy
Countings》
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作者：
G. Bonelli and A. Tanzini
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：High Energy Physics - Theory 高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
We study cohomological gauge theories on total spaces of holomorphic line bundles over complex manifolds and obtain their reduction to the base manifold by U(1) equivariant localization of the path integral. We exemplify this general mechanism by proving via exact path integral localization a reduction for local curves conjectured in hep-th/0411280, relevant to the calculation of black hole entropy/Gromov-Witten invariants. Agreement with the four-dimensional gauge theory is recovered by taking into account in the latter non-trivial contributions coming from one-loop fluctuations determinants at the boundary of the total space. We also study a class of abelian gauge theories on Calabi-Yau local surfaces, describing the quantum foam for the A-model, relevant to the calculation of Donaldson-Thomas invariants.
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PDF链接：
https://arxiv.org/pdf/0706.2633
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