Three-point functions of a superspin-2 current multiplet in 3D, N=1 superconformal theory
| Autor: | Buchbinder, Evgeny I., Stone, Benjamin J. |
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| Rok vydání: | 2021 |
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| Zdroj: | Phys. Rev. D 104, 106004 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.104.106004 |
| Popis: | We consider $\mathcal{N=1}$ superconformal field theories in three-dimensions possessing a conserved current multiplet $\mathcal{F}_{ (\alpha_{1} \alpha_{2} \alpha_{3} \alpha_{4}) }$ which we refer to as the superspin-2 current multiplet. At the component level it contains a conserved spin-2 current different from the energy-momentum tensor and a conserved fermionic higher spin current of spin 5/2. Using a superspace formulation, we calculate correlation functions involving $\mathcal{F}$, focusing particularly on the three-point function $ \langle \mathcal{F} \mathcal{F} \mathcal{F} \rangle $. After imposing the constraints arising from conservation equations and invariance under permutation of superspace points, we find that the parity-even and parity-odd sectors of this three-point function are each fixed up to a single coefficient. The presence of the parity-odd contribution is rather non-trivial, as there is an apparent tension between supersymmetry and the existence of parity-odd structures. Comment: 49 pages; v2: minor corrections, v3: minor corrections, published version |
| Databáze: | arXiv |
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