Cubic vertices for symmetric higher-spin gauge fields in
- 作者：M.A. Vasiliev vasiliev@lpi.ru
- 刊名：Nuclear Physics B
- 出版年：2012
- 期刊代码：45_05503213
- 类别：ph
- 出版时间：11 September, 2012
- 卷：862
- 期：2
- 页码：341-408
- 文件大小：726 K
摘要
Cubic vertices for symmetric higher-spin gauge fields of integer spins in are analyzed. generalization of the previously known action in , that describes cubic interactions of symmetric massless fields of all integer spins , 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 , 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 is proposed, which is conjectured to describe all vertices in 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 鈩?/em> of the higher-spin algebra to the radius.