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arXiv 1306.1487hep-th
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N=2 U(N)规范理论中的规范弦瞬子

Gauge-Stringy Instantons in N=2 U(N) Gauge Theories

Hossein Ghorbani

摘要:

利用IIB型弦论中的D3/D(-1)膜结构,在对称表象下的单物质多重态的N= 2U(N)超对称理论中引入规范弦瞬子.除了规范模量和弦模量之外,还存在额外的零模,我们称之为“规范-弦”模量。我们证明了当规范瞬子荷k_g等于弦瞬子荷k_s时,该模型中的模空间的测度对任意N都是无量纲的。规范弦瞬子的这一性质导致所有瞬子电荷k_s=k_g=k在有效作用量中的贡献相等。我们导出了规范弦瞬子的配分函数,并计算了k= 1,2规范弦瞬子荷对前势的修正。作为副产品,我们得到了规范k瞬子的配分函数,它与标准自洽介质构造的结果相一致。

英文摘要:

Using D3/D(-1) brane set-up in type IIB string theory we introduce gauge-stringy instantons in N=2 U(N) supersymmetry theories with one matter multiplet in symmetric representation. In addition to the gauge and stringy moduli there exist extra zero modes that we refer to as "gauge-stringy" moduli. We show that the measure of the moduli space in this model becomes dimensionless for arbitary N when the gauge instanton charge k_g is equal to the stringy instanton charge k_s. This property of gauge-stringy instantons leads to having equal contributions from all instanton charges k_s=k_g=k in the effective action. We derive the gauge-stringy instanton partition function and calculate the corrections to the prepotential due to k=1,2 gauge-stringy instanton charges. As a by-product the partition function for gauge k-instanton is obtained which coincides with the result from the standard ADHM construction.

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