All tree-level unitarity conditions in spin-≤1 theories are captured by four- and five-point amplitudes and can be diagnosed from particle content alone.
Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions
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abstract
We make an explicit link between the cubic interactions of off-shell fields and the on-shell three-point amplitudes in four dimensions. Both the cubic interactions and the on-shell three-point amplitudes had been independently classified in the literature, but their relation has not been made explicit. The aim of this note is to provide such a relation and discuss similarities and differences of their constructions. For the completeness of our analysis, we also derive the covariant form of all parity-odd massless vertices.
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A BRST formulation yields a single constraint per off-shell quartic vertex ensuring gauge invariance and associativity, with example solutions for low-spin cases in black hole scattering.
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Explicit Conditions for Diagnosing Tree-Level Unitarity
All tree-level unitarity conditions in spin-≤1 theories are captured by four- and five-point amplitudes and can be diagnosed from particle content alone.
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BRST methods for constructing quartic actions for spinning black holes
A BRST formulation yields a single constraint per off-shell quartic vertex ensuring gauge invariance and associativity, with example solutions for low-spin cases in black hole scattering.