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arXiv 1503.08635hep-th
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缺损五膜的N=(4,4)规范线性西格玛模型

N=(4,4) Gauged Linear Sigma Models for Defect Five-branes

Tetsuji Kimura

摘要:

研究二维${\cal N}=(4,4)$规范线性西格玛模型(GLSM)。它的低能有效理论是一个非线性西格玛模型,其目标空间产生了弦论中的五膜结构。本文主要研究NS 5-膜、KK 5-膜和奇异$5^2_2$ -膜的西格玛模型。特别是,我们仔细分析了一个异国情调的$5^2_2$ -膜,其背景配置是多值的GLSM。奇异的$5^2_2$ -膜是弦论中非几何构形的一个具体例子。我们发现,奇异的功能来源于弦缠绕坐标在一个非常明确的方式。为了完成这一分析,我们提出了一个对偶变换公式,它将一个F项的${\cal N}=(2,2)$手征超场变换为一个耦合到无约束复超场的扭曲手征超场。本文是与Shin Sasaki合作的arXiv:1304.4061的简短评论。

英文摘要:

We study two-dimensional ${\cal N}=(4,4)$ gauged linear sigma model (GLSM). Its low energy effective theory is a nonlinear sigma model whose target space gives rise to a configuration of five-branes in string theory. In this article we focus on sigma models for NS5-branes, KK5-branes and an exotic $5^2_2$-brane. In particular, we carefully analyze the GLSM for an exotic $5^2_2$-brane whose background configuration is multi-valued. The exotic $5^2_2$-brane is a concrete example of nongeometric configuration in string theory. We find that the exotic feature originates from the string winding coordinate in a very clear way. In order to complete this analysis, we propose a duality transformation formula which converts an ${\cal N}=(2,2)$ chiral superfield in F-term to a twisted chiral superfield coupled to an unconstrained complex superfield. This article is a short review based on arXiv:1304.4061 in collaboration with Shin Sasaki.

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