TOPOLOGICAL ANTI-TOPOLOGICAL FUSION
TOPOLOGICAL ANTI-TOPOLOGICAL FUSION
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DOI：
10.1016/0550-3213(91)90021-o
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发表时间：
1991-12-23
影响因子：
2.8
通讯作者：
VAFA, C
中科院分区：
文献类型：
--
作者：
CECOTTI, S;VAFA, C
我们研究 N = 2 超对称量子场论（超共形和大规模变形）的一些非微扰方面。我们证明，超对称基态的度量在共形极限下与 Zamolodchikov 度量本质上相同，是伪拓扑的，可以看作是 N = 2 理论的拓扑版本与其共轭融合的结果。对于特殊的边际/相关变形（对应于可因式分解的 S 矩阵的理论），基态度量满足经典 Toda/Affine Toda 方程作为扰动参数的函数。这些微分方程独特的一致边界条件似乎可以预测共形点处手性场的归一化 OPE。此外，手性环与 SU(N)k Verlinde 环同构的 N = 2 理论子集结果导致基态度量满足的 SU(N) 型仿射 Toda 方程。
We study some non-perturbative aspects of N = 2 supersymmetric quantum field theories (both superconformal and massive deformations thereof). We show that the metric for the supersymmetric ground states, which in the conformal limit is essentially the same as Zamolodchikov's metric, is pseudo-topological and can be viewed as a result of fusion of the topological version of N = 2 theory with its conjugate. For special marginal/relevant deformations (corresponding to theories with factorizable S-matrix), the ground state metric satisfies classical Toda/Affine Toda equations as a function of perturbation parameters. The unique consistent boundary conditions for these differential equations seem to predict the normalized OPE of chiral fields at the conformal point. Also the subset of N = 2 theories whose chiral ring is isomorphic to SU(N)k Verlinde ring turns out to lead to affine Toda equations of SU(N) type satisfied by the ground state metric.