论文标题
对称与$ j \ bar t $形式的CFTS的光谱
Symmetries versus the spectrum of $ J\bar T$-deformed CFTs
论文作者
论文摘要
最近已经显示，经典的$ j \ bar t $ - 变形的CFT具有无限维witt-kač-moody对称性，由某些依赖于场的坐标和仪表变换产生。然而，在圆柱体上，这种对称代数预测的后代能量的相等间距与已知的有限尺寸频谱（$ j \ bar t $ - 变形的CFTS）不一致。同样，相关的量子对称发生器对希尔伯特空间没有适当的作用。在本文中，我们通过找到一组新的（经典）保守的电荷来解决这种张力，该电荷与半古典量化相一致，并通过一种类型的能量依赖性光谱流与先前的对称发生器有关。代数与光谱之间的先前不一致是因为能量操作员不属于频谱流动的扇形。
It has been recently shown that classical $J\bar T$ - deformed CFTs possess an infinite-dimensional Witt-Kač-Moody symmetry, generated by certain field-dependent coordinate and gauge transformations. On a cylinder, however, the equal spacing of the descendants' energies predicted by such a symmetry algebra is inconsistent with the known finite-size spectrum of $J\bar T$ - deformed CFTs. Also, the associated quantum symmetry generators do not have a proper action on the Hilbert space. In this article, we resolve this tension by finding a new set of (classical) conserved charges, whose action is consistent with semi-classical quantization, and which are related to the previous symmetry generators by a type of energy-dependent spectral flow. The previous inconsistency between the algebra and the spectrum is resolved because the energy operator does not belong to the spectrally flowed sector.
