Lagrangian formulation of the massless higher integer spin fields in the AdS background

被引:144
作者
Buchbinder, IL [1 ]
Pashnev, A
Tsulaia, M
机构
[1] Tomsk State Pedag Univ, Dept Theoret Phys, Tomsk 634041, Russia
[2] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
[3] Georgian Acad Sci, Andronikashvili Inst Phys, GE-380077 Tbilisi, Georgia
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1016/S0370-2693(01)01268-0
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We construct the Lagrangian description of arbitrary integer higher-spin massless fields on the background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions for irreducible unitary, massless representations of the D-dimensional anti-de Sitter group are formulated. Unlike flat space, the algebra of the constraints turns out to be nonlinear and analogous to the W-3 algebra. We construct the nilpotent BRST charge for this nonlinear algebra and derive on its basis the correct field content and gauge invariant action describing the consistent arbitrary integer-spin field dynamics in AdS space. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:338 / 346
页数:9
相关论文
共 53 条
[11]   Consistent equations for massive spin-2 field coupled to gravity in string theory [J].
Buchbinder, IL ;
Krykhtin, VA ;
Pershin, VD .
PHYSICS LETTERS B, 1999, 466 (2-4) :216-226
[12]   Equations of motion for massive spin 2 field coupled to gravity [J].
Buchbinder, IL ;
Gitman, DM ;
Krykhtin, VA ;
Pershin, VD .
NUCLEAR PHYSICS B, 2000, 584 (1-2) :615-640
[13]   Causality of massive spin-2 field in external gravity [J].
Buchbinder, IL ;
Gitman, DM ;
Pershin, VD .
PHYSICS LETTERS B, 2000, 492 (1-2) :161-170
[14]  
BUCHBINDER IL, HEPTH0009026
[15]   The Lagrangian description of representations of the Poincare group [J].
Burdík, C ;
Pashnev, A ;
Tsulaia, M .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2001, 102 :285-292
[16]   On the mixed symmetry irreducible representations of the Poincare group in the BRST approach [J].
Burdík, C ;
Pashnev, A ;
Tsulaia, M .
MODERN PHYSICS LETTERS A, 2001, 16 (11) :731-746
[17]   Auxiliary representations of Lie algebras and the BRST constructions [J].
Burdík, C ;
Pashnev, A ;
Tsulaia, M .
MODERN PHYSICS LETTERS A, 2000, 15 (04) :281-291
[18]   GENERALIZED GAUGE-FIELDS [J].
CURTRIGHT, T .
PHYSICS LETTERS B, 1985, 165 (4-6) :304-308
[19]   Stability of massive cosmological gravitons [J].
Deser, S ;
Waldron, A .
PHYSICS LETTERS B, 2001, 508 (3-4) :347-353
[20]   Gauge invariances and phases of massive higher spins in (anti-) de Sitter space [J].
Deser, S ;
Waldron, A .
PHYSICAL REVIEW LETTERS, 2001, 87 (03) :31601-1