Constraining momentum space correlators using slightly broken higher spin symmetry

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.

36+21 pages, 1 figure. v2 : Reference added. v3 : A sentence in Section 7 modified. v4 : version published in JHEP

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Cited by in corpus (20)

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• Constraining momentum space CFT correlators with consistent position space OPE limit and the collider bound
• Slightly Broken Higher Spin Symmetry: General Structure of Correlators
• Momentum space CFT correlators of non-conserved spinning operators
• Four point functions in CFT's with slightly broken higher spin symmetry
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Anyonic correlation functions in Chern-Simons matter theories
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Three-point functions of conserved currents in 3D CFT: general formalism for arbitrary spins
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• On correlation functions as higher-spin invariants
• $n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Three-point functions of fermionic higher-spin currents in 4D conformal field theory