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Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices

MPG-Autoren
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Kessel,  P.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Mkrtchyan,  K.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

1803.02737.pdf
(Preprint), 377KB

PRD97.106021.pdf
(Verlagsversion), 224KB

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Zitation

Kessel, P., & Mkrtchyan, K. (2018). Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices. Physical Review D, 97: 106021. doi:10.1103/PhysRevD.97.106021.


Zitierlink: http://hdl.handle.net/21.11116/0000-0000-F49D-C
Zusammenfassung
This work completes the classification of the cubic vertices for arbitrary spin massless bosons in three dimensions started in a previous companion paper by constructing parity-odd vertices. Similarly to the parity-even case, there is a unique parity-odd vertex for any given triple $s_1\geq s_2\geq s_3\geq 2$ of massless bosons if the triangle inequalities are satisfied ($s_1<s_2+s_3$) and none otherwise. These vertices involve two (three) derivatives for odd (even) values of the sum $s_1+s_2+s_3$. A non-trivial relation between parity-even and parity-odd vertices is found. Similarly to the parity-even case, the scalar and Maxwell matter can couple to higher spins through current couplings with higher derivatives. We comment on possible lessons for 2d CFT. We also derive both parity-even and parity-odd vertices with Chern-Simons fields and comment on the analogous classification in two dimensions.