Worldsheet CFTs for Flat Monodrofolds
Worldsheet CFTs for Flat Monodrofolds
复制标题
扁平单折世界表 CFT
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
J. Walcher
中科院分区：
文献类型：
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作者：
S. Hellerman;J. Walcher
我们利用弦 Z_N 规范对称性的非平凡威尔逊线解决了弦在局部平坦时空中传播的理论难题。我们发现探测此类背景的字符串是由一致的世界表 CFT 描述的。扭曲扇区中的电平不匹配是通过调整围绕威尔逊线方向缠绕的弦动量的量化来补偿的，单位为 1/(N^2 R) 而不是 1/(N R)，这可能是传统预期的。我们在各种例子中展示了这种对朴素 Orbifold 处方的改进如何满足一般物理原理，例如水平匹配和 OPE 闭合。应用我们的技术构建 II 型弦中环面 T 对偶性的 Wilson 线（“T 形折叠”），我们找到了一个新的 7D 解，其中 N=1 SUSY，其中纤维环面的模量是固定的。当基底尺寸变小时，这种简单的单毛褶在 S^1 基底上表现出增强的规范对称性和自 T 对偶性。
We resolve a puzzle in the theory of strings propagating on locally flat spacetimes with nontrivial Wilson lines for stringy Z_N gauge symmetries. We find that strings probing such backgrounds are described by consistent worldsheet CFTs. The level mismatch in the twisted sectors is compensated by adjusting the quantization of momentum of strings winding around the Wilson line direction in units of 1/(N^2 R) rather than 1/(N R), as might have been classically expected. We demonstrate in various examples how this improvement of the naive orbifold prescription leads to satisfaction of general physical principles such as level matching and closure of the OPE. Applying our techniques to construct a Wilson line for T-duality of a torus in the type II string (``T-fold''), we find a new 7D solution with N=1 SUSY where the moduli of the fiber torus are fixed. When the size of the base becomes small this simple monodrofold exhibits enhanced gauge symmetry and a self-T-duality on the S^1 base.