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arXiv · 1707.08383

Fractional-Wrapped Branes with Rotation, Linear Motion and Background Fields

Elham Maghsoodi·Davoud Kamani
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Abstract

We obtain two boundary states corresponding to the two folds of a fractional-wrapped D$p$-brane, i.e. the twisted version under the orbifold $\mathbb{C}^{2}/\mathbb{Z}_{2}$ and the untwisted version. The brane has rotation and linear motion, in the presence of the following background fields: the Kalb-Ramond tensor, a $U(1)$ internal gauge potential and a tachyon field. The rotation and linear motion are inside the volume of the brane. The brane lives in the $d$-dimensional spacetime, with the orbifold-toroidal structure $T^n \times \mathbb{R}^{1, d-n-5} \times\mathbb{C}^{2}/\mathbb{Z}_{2}$ in the twisted sector. Using these boundary states we calculate the interaction amplitude of two parallel fractional D$p$-branes with the foregoing setup. Various properties of this amplitude such as the long-range behavior will be analyzed.

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Elham Maghsoodi, Davoud Kamani. 2017-07-26. Fractional-Wrapped Branes with Rotation, Linear Motion and Background Fields. https://doi.org/10.1016/j.nuclphysb.2017.07.009

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