Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory
Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory
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扩展 SL(2,R)/U(1) 特征，或简单非有理共形场论的模属性
DOI：
10.1088/1126-6708/2004/04/043
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
J. Troost
中科院分区：
文献类型：
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作者：
D. Israel;Ari Pakman;J. Troost
我们定义了扩展的SL(2，R)/U(1)字符，它包含了一个绕组扇区的和。通过将这些字符嵌入到N=2代数的类似扩展字符中，我们证明了它们具有良好的模变换性质。我们显式地计算了这个简单而非平凡的非有理共形场论的模矩阵。结果表明，在协集共形场论的模变换下，离散SL（2，R）表示与连续SL（2，R）表示混合。我们评论了我们的结果对非理性共形场论的一般理论的意义。
We define extended SL(2,R)/U(1) characters which include a sum over winding sectors. By embedding these characters into similarly extended characters of N=2 algebras, we show that they have nice modular transformation properties. We calculate the modular matrices of this simple but non-trivial non-rational conformal field theory explicitly . As a result, we show that discrete SL(2,R) representations mix with continuous SL(2,R) representations under modular transformations in the coset conformal field theory. We comment upon the significance of our results for a general theory of non-rational conformal field theories.