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λ-Deformations of left–right asymmetric CFTs

机译:λ-左右不对称CFT的变形

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We compute the all-loop anomalous dimensions of current and primary field operators in deformed current algebra theories based on a general semi-simple group, but with different (large) levels for the left and right sectors. These theories, unlike their equal level counterparts, possess a new non-trivial fixed point in the IR. By computing the exact in λ two- and three-point functions for these operators we deduce their OPEs and their equal-time commutators. Using these we argue on the nature of the CFT at the IR fixed point. The associated to the currents Poisson brackets are a two-parameter deformation of the canonical structure of the isotropic PCM.
机译:我们基于一个一般的半简单组,但在左右扇区具有不同(较大)水平的情况下,计算变形电流代数理论中电流和主场算子的全环异常维数。这些理论不同于同等水平的理论,在IR中拥有一个新的非平凡的不动点。通过为这些算子精确计算λ两点和三点函数,我们推导出了它们的OPE和等时换向器。使用这些,我们讨论了红外固定点处CFT的性质。与电流泊松括号相关的是各向同性PCM的规范结构的两参数变形。

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