Off-shell superpotentials and Ooguri-Vafa invariants of type Ⅱ/F theory compactification

In this paper, we calculate the off-shell superpotential of two Calabi-Yau manifolds with three parameters by integrating the period of the subsystem. We also obtain the Ooguri-Vafa invariants with open mirror symmetry.     

熵产生、碰撞数和热核的形成过程

同时考虑真实的动量相关势和介质中核子-核子碰撞截面来求解BUU方程.在入射能量E_L/A=100、200、400和800MeV时,系统地计算和分析了核反应Ca⁴⁰+Ca⁴⁰在各种碰撞参数下的熵产生和碰撞随时间的变化过程.结果表明:动量相关势和介质效应对熵和碰撞数的影响是明显的,而且这种影响对碰撞参数和入射能量的依赖比较敏感,特别是熵产生和碰撞数在各种条件下随时间的演化过程反映了热核形成的动力学过程.     

D-brane superpotentials and Ooguri-Vafa invariants of compact Calabi-Yau threefolds

We calculate the D-brane superpotentials for two compact Calabi-Yau manifolds X14(1,1,2,3,7) and X8(1, 1, 1, 2, 3) which are of non-Fermat type in the type II string theory. By constructing the open mirror symmetry,we also compute the Ooguri-Vafa invariants, which are related to the open Gromov-Witten invariants.     

三维流形上的变型Seiberg─Witten磁单极方程

给出了一般三维流形上变型的Seiberg－Witten磁单极方程，该方程是共形不变的，而且在欧空间上给出了一个有限能量的解析的精确解．     

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.     

Computing parallel/coincident phase D-brane superpotentials and Type-Ⅱ/F-theory duality

In this paper we study the parallel phase and the coincident phase of D-brane systems with the compactification of one closed modulus. D-brane systems with two phases are described by different 4-folds in terms of Type-Ⅱ/F-theory duality, and the phase transitions are related by the blow-up from a 4-fold with singularities to a 4-fold without. In terms of gauge theory, the phase transition corresponds to the enhancement of gauge group U(1)×U(1)→U(2) connecting the Coulomb branch and the Higgs branch. For the sextic and octic with two D-branes,using mirror symmetry and Type-Ⅱ/F theory duality, A-model superpotentials are obtained from the B-model side for the two phases, and the U(1) Ooguri-Vafa invariants for the parallel phase and U(2) Ooguri-Vafa invariants for the coincident phase are extracted from the A-model superpotential. The difference between the invariants of the two phases is evidence of the phase transition between the Coulomb branch and the Higgs branch.     

三维流形上的变型Seiberg─Witten磁单极方程

给出了一般三维流形上变型的Seiberg–Witten磁单极方程,该方程是共形不变的,而且在欧空间上给出了一个有限能量的解析的精确解.     

中高能重离子碰撞过程中集体流的能量和碰撞参数相关性

在BUU方程中引入真实的与动量和密度相关的平均场及介质中与密度和能量相关的核子-核子碰撞截面.在各种入射能量和碰撞参数下,对于反应Ca⁴⁰+Ca⁴⁰求解BUU方程.系统地计算和分析了集体流随时间变化的过程,结果表明:动量相关势和介质效应对集体流都有明显的影响,而且这种影响都有明显的能量和碰撞参数相关性.