Towards Lagrangian formulations of mixed-symmetry higher spin fields on AdS-space within BFV-BRST formalism

被引：6

作者：

Reshetnyak, A. A. ^{[1
]}

机构：

[1] Inst Strength Phys & Mat Sci, Tomsk 634021, Russia

来源：

PHYSICS OF PARTICLES AND NUCLEI | 2010年 / 41卷 / 06期

关键词：

GAUGE; REPRESENTATIONS; CONSTRUCTION; QUANTIZATION;

D O I：

10.1134/S1063779610060341

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 spectrum of superstring theory on the AdS (5) x S (5) Ramond-Ramond background in tensionless limit contains integer and half-integer higher-spin fields subject at most to two-rows Young tableaux Y(s (1), s (2)). We review the details of a gauge-invariant Lagrangian description of such massive and massless higher-spin fields in anti-de-Sitter spaces with arbitrary dimensions. The procedure is based on the construction of Verma modules, its oscillator realizations and of a BFV-BRST operator for non-linear algebras encoding unitary irreducible representations of AdS group.

引用

页码：976 / 979

页数：4

共 18 条

[1] RELATIVISTIC S-MATRIX OF DYNAMICAL-SYSTEMS WITH BOSON AND FERMION CONSTRAINTS [J].

BATALIN, IA ;

VILKOVISKY, GA .

PHYSICS LETTERS B, 1977, 69 (03) :309-312

[2] EXISTENCE THEOREM FOR THE EFFECTIVE GAUGE ALGEBRA IN THE GENERALIZED CANONICAL FORMALISM WITH ABELIAN CONVERSION OF 2ND-CLASS CONSTRAINTS [J].

BATALIN, IA ;

TYUTIN, IV .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (18) :3255-3282

[3] BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space [J].

Buchbinder, I. L. ;

Krykhtin, V. A. ;

Reshetnyak, A. A. .

NUCLEAR PHYSICS B, 2007, 787 (03) :211-240

[4] Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space [J].

Buchbinder, I. L. ;

Krykhtin, V. A. ;

Lavrov, P. M. .

NUCLEAR PHYSICS B, 2007, 762 (03) :344-376

[5] Gauge invariant Lagrangian construction for massive higher spin fermionic fields [J].

Buchbinder, I. L. ;

Krykhtin, V. A. ;

Ryskina, L. L. ;

Takata, H. .

PHYSICS LETTERS B, 2006, 641 (05) :386-392

[6] Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimensions [J].

Buchbinder, IL ;

Krykhtin, VA .

NUCLEAR PHYSICS B, 2005, 727 (03) :537-563

[7] 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

[8] 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

[9] REALIZATION OF THE SCHWINGER TERM IN THE GAUSS LAW AND THE POSSIBILITY OF CORRECT QUANTIZATION OF A THEORY WITH ANOMALIES [J].

FADDEEV, LD ;

SHATASHVILI, SL .

PHYSICS LETTERS B, 1986, 167 (02) :225-228

[10] QUANTIZATION OF RELATIVISTIC SYSTEMS WITH CONSTRAINTS [J].

FRADKIN, ES ;

VILKOVISKY, GA .

PHYSICS LETTERS B, 1975, B 55 (02) :224-226

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