论文标题
$ t^2 $ in II型中的世界表（反）Instanton绑定了状态
Worldsheet (anti)instanton bound states in type II on $T^2$
论文作者
论文摘要
1/8 bps $ d^6 \ mathcal {r}^4 $耦合在$ t^2 $上压实的II型字符串理论接收来自Worldsheet Instantons和Anti-Instantons包装$ T^2 $的贡献，直至属于字符串扰动理论的三属。这些涉及与Instantons和Anti-Instantons的结合状态分开的贡献，这些状态与对1/2和1/4 bps耦合的这种贡献在质量上相似。在第二属中，$ d^6 \ MATHCAL {r}^4 $耦合还从Instanton/Anti-Instanton Bound状态获得了贡献，与1/2和1/4 bps耦合不同，这是T-Duality不变的eigenvalue方程的结果。我们解决了这个特征值方程，以获得世界表（反）intsanton贡献的完整结构。在类型的IIB理论中，强弱耦合二元性会导致某些贡献涉及d字符串（anti）Instantons包裹$ t^2 $的绑定状态。
The 1/8 BPS $D^6\mathcal{R}^4$ coupling in type II string theory compactified on $T^2$ receives contributions from worldsheet instantons and anti-instantons wrapping the $T^2$, up to genus three in string perturbation theory. These involve contributions separately from bound states of instantons and anti-instantons, which are qualitatively similar to such contributions to the 1/2 and 1/4 BPS couplings. At genus two, the $D^6\mathcal{R}^4$ coupling also receives contributions from instanton/anti-instanton bound states unlike the 1/2 and 1/4 BPS couplings, which is a consequence of a T-duality invariant eigenvalue equation a term in the coupling satisfies. We solve this eigenvalue equation to obtain the complete structure of the worldsheet (anti)instanton contributions. In the type IIB theory, strong weak coupling duality leads to certain contributions involving bound states of D string (anti)instantons wrapping the $T^2$.
