Affiliation:
1. Faculty on Physics, National Research Tomsk State University, 634050 Tomsk, Russia
2. Center for Theoretical Physics, Tomsk State Pedagogical University, 634041 Tomsk, Russia
3. School of Basic Engineering Training, National Research Tomsk Polytechnic University, 634050 Tomsk, Russia
Abstract
We deduce a non-linear commutator higher-spin (HS) symmetry algebra which encodes unitary irreducible representations of the AdS group—subject to a Young tableaux Y(s1,…,sk) with k≥2 rows—in a d-dimensional anti-de Sitter space. Auxiliary representations for a deformed non-linear HS symmetry algebra in terms of a generalized Verma module, as applied to additively convert a subsystem of second-class constraints in the HS symmetry algebra into one with first-class constraints, are found explicitly in the case of a k=2 Young tableaux. An oscillator realization over the Heisenberg algebra for the Verma module is constructed. The results generalize the method of constructing auxiliary representations for the symplectic sp(2k) algebra used for mixed-symmetry HS fields in flat spaces [Buchbinder, I.L.; et al. Nucl. Phys. B 2012, 862, 270–326]. Polynomial deformations of the su(1,1) algebra related to the Bethe ansatz are studied as a byproduct. A nilpotent BRST operator for a non-linear HS symmetry algebra of the converted constraints for Y(s1,s2) is found, with non-vanishing terms (resolving the Jacobi identities) of the third order in powers of ghost coordinates. A gauge-invariant unconstrained reducible Lagrangian formulation for a free bosonic HS field of generalized spin (s1,s2) is deduced. Following the results of [Buchbinder, I.L.; et al. Phys. Lett. B 2021, 820, 136470.; Buchbinder, I.L.; et al. arXiv 2022, arXiv:2212.07097], we develop a BRST approach to constructing general off-shell local cubic interaction vertices for irreducible massive higher-spin fields (being candidates for massive particles in the Dark Matter problem). A new reducible gauge-invariant Lagrangian formulation for an antisymmetric massive tensor field of spin (1,1) is obtained.
Funder
Ministry of Education of the Russian Federation
Subject
General Physics and Astronomy
Reference121 articles.
1. Baumgart, M., Bishara, F., Brauner, T., Brod, J., Cabass, G., Cohen, T., Craig, N., de Rham, C., Draper, P., and Fitzpatrick, A.L. (2022). Snowmass theory frontier: Effective field theory topical group summary. arXiv.
2. Lepton jets from radiating dark matter;Buschmann;J. High Energy Phys.,2015
3. Origin of sterile neutrino dark matter via secret neutrino interactions with vector bosons;Kelly;Phys. Rev. D,2020
4. Self-gravitating vector dark matter;Adshead;Phys. Rev. D,2021
5. A theory of dark matter;Finkbeiner;Phys. Rev. D,2009
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献