Semi-classical Virasoro blocks: proof of exponentiation

Semi-classical Virasoro blocks: proof of exponentiation
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DOI:
10.1007/jhep01(2020)109
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发表时间:
2020-01-20
影响因子:
5.4
通讯作者:
Kraus, Per
Kraus, Per
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Besken, Mert;Datta, Shouvik;Kraus, Per

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Virasoro共形块预计在大中心电荷c和大算子维数h(i)的极限下取指数,其中比率h(i)/c保持固定。我们证明了这一点,采用振子制定的Virasoro代数及其表示。开发的技术,然后用于提供新的推导出的一些标准结果的共形块。
Virasoro conformal blocks are expected to exponentiate in the limit of large central charge c and large operator dimensions h(i), with the ratios h(i)/c held fixed. We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed are then used to provide new derivations of some standard results on conformal blocks.