有理曲线与(0,2)-形变
Rational Curves and (0,2)-Deformations
摘要:
我们比较了N=(2,2)的共形场论和σ模型的(0,2)-形变模场的计数。后者涉及计算切层的变形。我们看到,通常存在一种差异,这可以用来自轨道分辨率中有理曲线的世界面瞬子修正来解释。我们分析了合理的曲线的决议,以确定这样的更正,并发现,不可约的复曲面合理的曲线占一些,但不是全部,的差异。特别是,这证明了,必须有超越那些从光滑孤立的理性曲线的世界表瞬子校正。
英文摘要:
We compare the count of (0,2)-deformation moduli fields for N=(2,2) conformal field theories on orbifolds and sigma-models on resolutions of the orbifold. The latter involves counting deformations of the tangent sheaf. We see there is generally a discrepancy which is expected to be explained by worldsheet instanton corrections coming from rational curves in the orbifold resolution. We analyze the rational curves on the resolution to determine such corrections and discover that irreducible toric rational curves account for some, but not all, of the discrepancy. In particular, this proves that there must be worldsheet instanton corrections beyond those from smooth isolated rational curves.
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。