Mapping Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators: A momentum space bootstrap using SBHS symmetry
| Autor: | Jain, Prabhav, Jain, Sachin, Sahoo, Bibhut, S, Dhruva K., Zade, Aashna |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Popis: | We develop a systematic method to constrain any n-point correlation function of spinning operators in Slightly Broken Higher Spin (SBHS) theories. As an illustration of the methodology, we work out the three point functions which reproduce the previously known results. We then work out the four point functions of spinning operators. We show that the correlation functions of spinning operators in the interacting SBHS theory take on a remarkably simple form and that they can be written just in terms of the free fermionic and critical bosonic theory correlators. They also interpolate nicely between the results in these two theories. When expressed in spinor-helicity variables we obtain an anyonic phase which nicely interpolates between the free fermionic and critical bosonic results which makes 3D bosonization manifest. Assuming a form of the five point scalar correlator, we also work out several five point functions to illustrate how our method can be used in five or higher point functions. We also put forth a conjecture for any n-point function of spinning operators in SBHS theories. In this paper we have bootstrapped correlators using SBHS symmetry in momentum space and spinor helicity variables. In general, solving the SBHS constraints are complicated to analyse in position space, but in momentum space and spinor-helicity variables they can be solved efficiently and this is greatly helped by the recent development of momentum space CFT correlation functions. 41 pages+27 pages appendices, 6 figures, Typos corrected and reference added |
| Databáze: | OpenAIRE |
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