# Another representation of the β form of the inhomogeneous Picard-Fuchs equation

• In this letter we give another representation of the β form in the inhomogeneous Picard-Fuchs equation for open topological string for some one-parameter Calabi-Yau hypersurfaces in weighted projective spaces. Furthermore, the corresponding domain wall tensions calculated by using these β forms are consistent with the results that appear in literature. The β form is essential for the calculation of the D-brane domain wall tension, and a convenient choice of β forms should simplify the calculation. The freedom of the choice of β forms shows some symmetries in Calabi-Yau space.
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XU Feng-Jun and YANG Fu-Zhong. Another representation of the β form of the inhomogeneous Picard-Fuchs equation[J]. Chinese Physics C, 2013, 37(10): 101001. doi: 10.1088/1674-1137/37/10/101001
XU Feng-Jun and YANG Fu-Zhong. Another representation of the β form of the inhomogeneous Picard-Fuchs equation[J]. Chinese Physics C, 2013, 37(10): 101001.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Another representation of the β form of the inhomogeneous Picard-Fuchs equation

###### Corresponding author: YANG Fu-Zhong,

Abstract: In this letter we give another representation of the β form in the inhomogeneous Picard-Fuchs equation for open topological string for some one-parameter Calabi-Yau hypersurfaces in weighted projective spaces. Furthermore, the corresponding domain wall tensions calculated by using these β forms are consistent with the results that appear in literature. The β form is essential for the calculation of the D-brane domain wall tension, and a convenient choice of β forms should simplify the calculation. The freedom of the choice of β forms shows some symmetries in Calabi-Yau space.

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