Current exchanges and unconstrained higher spins

被引:102
作者
Francia, D.
Mourad, J.
Sagnotti, A.
机构
[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[2] Ist Nazl Fis Nucl, I-56126 Pisa, Italy
[3] Univ Paris 07, CNRS, UMR 7164, F-75205 Paris 13, France
[4] Chalmers, Dept Fundamental Phys, S-41296 Gothenburg, Sweden
关键词
D O I
10.1016/j.nuclphysb.2007.03.021
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The (Fang-) Fronsdal formulation for free fully symmetric (spinor-) tensors rests on (gamma-) trace constraints on gauge fields and parameters. When these are relaxed, glimpses of the underlying geometry emerge: the field equations extend to non-local expressions involving the higher-spin curvatures, and with only a pair of additional fields an equivalent "minimal" local formulation is also possible. In this paper we complete the discussion of the "minimal" formulation for fully symmetric (spinor-) tensors, constructing one-parameter families of Lagrangians and extending them to (A)dS backgrounds. We then turn on external currents, that in this setting are subject to conventional conservation laws and, by a close scrutiny of current exchanges in the various formulations, we clarify the precise link between the local and non-local versions of the theory. To this end, we first show the equivalence of the constrained and unconstrained local formulations, and then identify a unique set of non-local Lagrangian equations which behave in the same fashion in current exchanges. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:203 / 237
页数:35
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