Cubic vertices for symmetric higher-spin gauge fields in \(\text{(A)dS}_{d}\)

DOI10.1016/J.NUCLPHYSB.2012.04.012zbMATH Open1246.81155arXiv1108.5921OpenAlexW1600718616MaRDI QIDQ447399

Author name not available (Why is that?)

Publication date: 3 September 2012

Published in: (Search for Journal in Brave)

Abstract: Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)d{S}_d$ are analyzed. $(A)d{S}_d$ generalization of the previously known action in $Ad{S}_4$, that describes cubic interactions of symmetric massless fields of all integer spins $sgeq2$, is found. A new cohomological formalism for the analysis of vertices of higher-spin fields of any symmetry and/or order of nonlinearity is proposed within the frame-like approach. Using examples of spins two and three it is demonstrated how nontrivial vertices in $(A)d{S}_d$, including Einstein cubic vertex, can result from the $AdS$ deformation of trivial Minkowski vertices. A set of higher-derivative cubic vertices for any three bosonic fields of spins $sgeq2$ is proposed, which is conjectured to describe all vertices in $Ad{S}_d$ that can be constructed in terms of connection one-forms and curvature two-forms of symmetric higher-spin fields. A problem of reconstruction of a full nonlinear action starting from known unfolded equations is discussed. It is shown that the normalization of free higher-spin gauge fields compatible with the flat limit relates the noncommutativity parameter $hbar$ of the higher-spin algebra to the $(A)dS$ radius.

Full work available at URL: https://arxiv.org/abs/1108.5921

Mathematics Subject Classification ID

No records found.

This page was built for publication: Cubic vertices for symmetric higher-spin gauge fields in \(\text{(A)dS}_{d}\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q447399)