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arXiv · 1506.05005

Gauge-fixing Condition on Prepotential of Chiral Multiplet for Nongeometric Backgrounds

Tetsuji Kimura
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Abstract

We study a supergauge transformation of a complex superfield which generates a chiral superfield in two-dimensional ${\cal N}=(2,2)$ theory. This complex superfield is referred to as the prepotential of the chiral superfield. Since there exist redundant component fields in the prepotential, we remove some of them by a gauge-fixing condition. This situation is parallel to that of a vector superfield. In order to obtain a suitable configuration of the GLSM for the exotic five-brane which gives rise to a nongeometric background, we impose a relatively relaxed gauge-fixing condition. It turns out that the gauge-fixed prepotential is different from a semichiral superfield whose scalar field represents a coordinate of generalized K\"{a}hler geometry.

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Tetsuji Kimura. 2015-06-16. Gauge-fixing Condition on Prepotential of Chiral Multiplet for Nongeometric Backgrounds. https://doi.org/10.1093/ptep/ptw003

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