15493 2008.08610 10.1007/JHEP04(2021)231 231 231 Constraining momentum space correlators using slightly broken higher spin symmetry 01 Mathematical Sciences 0101 Pure Mathematics Regular Article - Theoretical Physics 1 60 2021 4 23 2020 10 12 2021 2 19 2021 3 29 2021 4 23 The Author(s) 2021 Open Access. This article is distributed under the terms of the Creative Commons Attribution License ( CC-BY 4.0 ), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. 13130 2021 2021 4 4 Sachin Jain sachin.jain@iiserpune.ac.in Renjan Rajan John renjan.rajan@to.infn.it Vinay Malvimat vinaymm@iiserpune.ac.in grid.417959.7 0000 0004 1764 2413 Indian Institute of Science Education and Research Homi Bhabha Road, Pashan Pune 411 008 India grid.16563.37 0000000121663741 Dipartimento di Scienze e Innovazione Tecnologica Università del Piemonte Orientale Viale T. Michel 11 I-15121 Alessandria Italy grid.470222.1 I.N.F.N. — sezione di Torino Via P. Giuria 1 I-10125 Torino Italy Abstract In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic and quasi-bosonic theories. The direct Feynman diagram approach to computing correlation functions is intricate and in general has been performed only in specific kinematic regimes. We use higher spin equations to obtain the parity even and parity odd contributions to two-, three- and four-point correlators involving spinning and scalar operators in a general kinematic regime, and match our results with existing results in the literature for cases where they are available. One of the interesting facts about higher spin equations is that one can use them away from the conformal fixed point. We illustrate this by considering mass deformed free boson theory and solving for two-point functions of spinning operators using higher spin equations. Keywords Chern-Simons Theories Conformal Field Theory ArXiv ePrint: 2008.08610