Abstract
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 = frac{1}{2} and frac{3}{2} conformal primary wavefunctions with definite SL(2, ℂ) conformal dimension ∆ and spin J where |J| ≤ s. The generator for large supersymmetry transformations is identified as the conformally soft gravitino primary operator with ∆ = frac{1}{2} and its shadow with ∆ = frac{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.
Highlights
Understanding the symmetries of nature is a fundamental open question
We identify the generator for large supersymmetry transformations as the conformally soft gravitino primary operator with
These operators are further shown to select modes corresponding to the fermionic conformally soft theorems considered in [51]. Because their existence is tied to supersymmetry [50, 51] and double copy relations [50, 53] which connect fields of lower spin to those with large gauge symmetries, we expect them to play an important role in understanding the analog of the spin shifting amplitudes relations within celestial CFT
Summary
Understanding the symmetries of nature is a fundamental open question. The fact that we can shed new light on this subject by reorganizing how we study scattering processes is central to the recently conjectured duality between quantum gravity in asymptotically flat spacetimes and a celestial conformal field theory living on the codimension-two sphere at null infinity. This paper examines fermionic symmetries and the associated celestial diamonds relevant to supergravity and supersymmetric gauge theories. These operators are further shown to select modes corresponding to the fermionic conformally soft theorems considered in [51] Because their existence is tied to supersymmetry [50, 51] and double copy relations [50, 53] which connect fields of lower spin to those with large gauge symmetries, we expect them to play an important role in understanding the analog of the spin shifting amplitudes relations within celestial CFT.
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