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Conformally soft fermions
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DOI：10.1007/JHEP12(2021)166.png)
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摘要
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Celestial diamonds encode the global conformal multiplets of the conformally soft sector, elucidating the role of soft theorems, symmetry generators and Goldstone modes. Upon adding supersymmetry they stack into a pyramid. Here we treat the soft charges associated to the fermionic layers that tie this structure together. This extends the analysis of conformally soft currents for photons and gravitons which have been shown to generate asymptotic symmetries in gauge theory and gravity to infinite-dimensional fermionic symmetries. We construct fermionic charge operators in 2D celestial CFT from a suitable inner product between 4D bulk field operators and spin s = 1/2 and 3/2 conformal primary wavefunctions with definite SL(2, C) conformal dimension Delta and spin J where vertical bar J vertical bar <= s. The generator for large supersymmetry transformations is identified as the conformally soft gravitino primary operator with Delta = 1/2 and its shadow with Delta = 3/2 which form the left and right corners of the celestial gravitino diamond. We continue this analysis to the subleading soft gravitino and soft photino which are captured by degenerate celestial diamonds. Despite the absence of a gauge symmetry in these cases, they give rise to conformally soft factorization theorems in celestial amplitudes and complete the celestial pyramid.
Keyword:
AdS-CFT Correspondence
Gauge Symmetry
Models of Quantum Gravity
Scattering Amplitudes
期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
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分享收藏MHV graviton scattering amplitudes and current algebra on the celestial sphere天球上的MHV引力子散射幅度和电流代数
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