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arXiv 1910.00538hep-th
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开超弦场论中边缘形变的广义ADHM方程

Generalized ADHM equations from marginal deformations in open superstring field theory

Jakub Vošmera

摘要:

在$A_\infty$和Berkovits开超弦场论的框架内,我们得到了Neveu-Schwarz边缘形变在形变参数上精确到三阶的充分必要条件.对于一类特定的背景,我们发现,这个条件本地化的边界上的世界片模空间,从而提供了一个非常简单的计算处方恢复代数约束(广义ADHM方程),需要满足的模。将我们的结果应用于$\mathrm{D(-1)/D3}$系统,我们确认了直到三阶,D3膜世界体积内D-瞬子的大小的爆破是完整弦论的精确模。我们还讨论了更复杂背景的例子,如未解决的ALE空间上的瞬子,以及尖峰瞬子。

英文摘要:

Working within the framework of both the $A_\infty$ and the Berkovits open superstring field theory, we derive a necessary and sufficient condition for a Neveu-Schwarz marginal deformation to be exact up to third order in the deformation parameter. For a specific class of backgrounds, we find that this condition localizes on the boundary of the worldsheet moduli space, thus providing a very simple computational prescription for recovering algebraic constraints (generalized ADHM equations) which need to be satisfied by the moduli. Applying our results to the $\mathrm{D(-1)/D3}$ system, we confirm up to third order that blowing up the size of the D-instanton inside the D3 brane worldvolume is an exact modulus of the full string theory. We also discuss examples of more complicated backgrounds, such as instantons on unresolved ALE spaces, as well as the spiked instantons.

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