Finite-N corrections to the superconformal index of toric quiver gauge theories

Finite-N corrections to the superconformal index of toric quiver gauge theories
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对环面箭袋规范理论超共形指数的有限 N 修正

DOI:
10.1093/ptep/ptaa023
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发表时间:
2019
影响因子:
3.5
通讯作者:
Tatsuya Mori
Tatsuya Mori
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Reona Arai;Shota Fujiwara;Y. Imamura;Tatsuya Mori

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研究了箭图规范理论在环面Calabi-Yau锥的D3膜上实现的超共形指数。我们利用ADS/CFT对应,研究了包裹在超对称循环上的D3膜。我们关注的是膜的配置,其中单个D3膜被包裹在一个周期上,而我们没有考虑具有多个包裹的膜。我们提出了一个公式,它对这种膜结构引起的折射率进行了有限的-$N$修正。我们将该公式的几个例子的预测与规范理论方面的结果进行了比较,证实该公式正确地重现了有限的-$N$修正,直到预期的阶数。
The superconformal index of quiver gauge theories realized on D3-branes in toric Calabi–Yau cones is investigated. We use the AdS/CFT correspondence and study D3-branes wrapped on supersymmetric cycles. We focus on brane configurations in which a single D3-brane is wrapped on a cycle, and we do not take account of branes with multiple wrapping. We propose a formula that gives finite-$N$ corrections to the index caused by such brane configurations. We compare the predictions of the formula for several examples with the results on the gauge theory side obtained by using localization for small sizes of gauge groups, and confirm that the formula correctly reproduces the finite-$N$ corrections up to the expected order.
环形箭袋规范理论索引
DOI: --
发表时间: 2006
期刊: Phys. Lett. B 636
影响因子: --
作者:
K.Kodera;Y.Hashimoto;A.Endo;S.Katsumoto;Y.Iye;Yu Nakayama
通讯作者: Yu Nakayama
DOI: 10.1016/s0550-3213(98)00654-3
发表时间: 1998-12-21
期刊: NUCLEAR PHYSICS B
影响因子: 2.8
作者:
Klebanov, IR;Witten, E
通讯作者: Witten, E