Melik Karapetyan's publications

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Publication: Article

Cubic interaction for higher spins in AdSd+1 space in the explicit covariant form
Ռուբեն Մանվելյան
Ռուբիկ Պողոսյան
Nucl. Phys. B

Vol. 950 No. 114876 (2020)

URL: https://www.sciencedirect.com/science/article/pii/S0550321319303621?via%3Dihub=

DOI: https://doi.org/10.1016/j.nuclphysb.2019.114876

Description: We present a slightly modified prescription of the radial pullback formalism proposed previously by R. Manvelyan, R. Mkrtchyan and W. Rühl in 2012, where authors investigated possibility to connect the main term of higher spin interaction in flat d+2 dimensional space to the main term of interaction in AdS_{d+1} space ignoring all trace and divergent terms but expressed directly through the AdS covariant derivatives and including some curvature corrections. In this paper we succeeded to solve all necessary recurrence relations to finalize full radial pullback of the main term of cubic self-interaction for higher spin gauge fields in Fronsdal's formulation from flat to one dimension less AdS_{d+1} space. Nontrivial solutions of recurrence relations lead to the possibility to obtain the full set of AdS_{d+1} dimensional interacting terms with all curvature corrections including trace and divergence terms from any interaction term in d+2 dimensional flat space.


Solving Recurrence Relations for Radial Pullback of Cubic Interaction in AdSd+1.
Phys. Part. Nucl. Lett.

Vol. 17 No. 5 pp. 760–762 (2020)

DOI: https://doi.org/10.1134/S1547477120050209

Description: We present the calculation of the solution of recurrence relations for radial pullback of cubic interaction
in AdSd + 1 by using Wolfram Mathematica as an effective tool for computing large expressions. Investigation of the
results of these calculations allows us to guess the ansatz for solution and then obtain it completely.