论文标题
两环螺纹五点振幅I：通过手性拆分和纯纺纱构造
Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
论文作者
论文摘要
在〜II型中五个无质量状态的完整两环振幅和杂型上线是根据紧凑型riemann表面和绿色功能的积分和表面上的Abelian差异的属属构建的。该构建结合了纯纺纱配方的BRST共同体以及借助Loop Momena和同源性不变性的手性分裂的元素。所产生的超弦振幅的$α'\至0 $限制与以前已知的〜II类超级重力计算的幅度完全一致。对〜II型幅度的$α'$扩展的调查和与S偶性的预测进行了比较，将其降级为第一伴随论文。从五个外部NS状态的TWO幅度的RNS公式中的第一原理的结构被降低为第二个伴侣论文。
The full two-loop amplitudes for five massless states in Type~II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of compact Riemann surfaces and integrals of Green functions and Abelian differentials on the surface. The construction combines elements from the BRST cohomology of the pure spinor formulation and from chiral splitting with the help of loop momenta and homology invariance. The $α' \to 0$ limit of the resulting superstring amplitude is shown to be in perfect agreement with the previously known amplitude computed in Type~II supergravity. Investigations of the $α'$ expansion of the Type~II amplitude and comparisons with predictions from S-duality are relegated to a first companion paper. A construction from first principles in the RNS formulation of the genus-two amplitude with five external NS states is relegated to a second companion paper.
