arXiv 1507.040132015-07-14hep-thmath-phmath.MP

大半径拓扑弦的普适性与NS-膜复苏

Universality of the topological string at large radius and NS-brane resurgence

Ricardo Couso-Santamaria

备注：: 22 pages, 2 figures
DOI：: 10.1007/s11005-016-0906-y

摘要：

我们证明了拓扑弦自由能在大半径点处存在一个自然的普适极限。新的自由能对复结构模空间保持非全纯的依赖性，并且它们的函数形式对于所有的Calabi-Yau几何都是相同的，无论是紧的还是非紧的。自由能展开的渐近性质在此极限下由于其系数的较温和的阶乘增长而改变，这意味着在NS膜型的$\exp(- 1/g_s^2)$中具有瞬子效应的跨系列扩展，而不是D膜型的$\exp(-1/g_s)$。我们展示了NS-膜类型的瞬子作用量和卡-丘流形的体积之间的关系，它指出了NS 5-膜的一种可能的解释。一个类似的重标度限制已被认为是最近导致艾里方程的配分函数，这是在这里用来解释的复苏性质的重标度transseries。

英文摘要：

We show that there is a natural universal limit of the topological string free energies at the large radius point. The new free energies keep a nonholomorphic dependence on the complex structure moduli space and their functional form is the same for all Calabi-Yau geometries, compact and noncompact alike. The asymptotic nature of the free energy expansion changes in this limit due to a milder factorial growth of its coefficients, and this implies a transseries extension with instanton effects in $\exp(- 1/g_s^2)$, of NS-brane type, rather than $\exp(-1/g_s)$, of D-brane type. We show a relation between the instanton action of NS-brane type and the volume of the Calabi-Yau manifold which points to a possible interpretation in terms of NS5-branes. A similar rescaling limit has been considered recently leading to an Airy equation for the partition function which is here used to explain the resurgent properties of the rescaled transseries.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文