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

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.

arXiv comment19 pages, Latex2e, no figure

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• Closed String Radiation from the Interacting Fractional-Dressed D$p$-Branes with the Transverse Motions
• Scattering of the Kalb-Ramond State from a Dynamical D$p$-brane with Background Fields
• Left-Right Entanglement Entropy for a Dp-brane with Dynamics and Background Fields
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• LREE of a Dynamical Unstable D$p$-brane
• Closed String Radiation from the Interaction of the Moving D$p$-branes with Background Fields
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• Effective Action of a Dynamical D$p$-brane with Background Fluxes
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• Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes
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• Fractional Dp-Branes with Transverse and Tangential Dynamics in the Presence of Background Fluxes