Comments on Higher-Spin Fields in Nontrivial Backgrounds

被引:0
|
作者
Rahman, Rakibur [1 ]
Taronna, Massimo [2 ]
机构
[1] Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Potsdam, Germany
[2] Univ Libre Bruxelles, ULB Campus Plaine CP 231, B-1050 Brussels, Belgium
来源
基金
俄罗斯科学基金会;
关键词
INTERACTING GAUGE-FIELDS; CONSISTENT EQUATIONS; CUBIC INTERACTION; MOTION;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the free propagation of totally symmetric massive bosonic fields in nontrivial backgrounds. The mutual compatibility of the dynamical equations and constraints in flat space amounts to the existence of an Abelian algebra formed by the d'Alerubertiau, divergence and trace operators. The latter, along with the symmetrized gradient, symmetrized metric and spin operators, actually generate a bigger non-Abelian algebra, which we refer to as the "consistency" algebra. We argue that in nontrivial backgrounds, it is some deformed version of this algebra that governs the consistency of the system. This can be motivated, for example, from the theory of charged open strings in a background gauge field, where the Virasoro algebra ensures consistent propagation. For a gravitational background, we outline a systematic procedure of deforuiiug the generators of the consistency algebra in order that their commutators close. We find that equal radii AdS(p) x S-q manifolds, for arbitrary p and q, admit consistent propagation of massive and massless fields, with deformations that include no higher-derivative terms but are non-analytic in the curvature. We argue that analyticity of the deformations for a generic manifold may call for the inclusion of mixed-synametry tensor fields like in String Theory.
引用
收藏
页码:381 / 390
页数:10
相关论文
共 50 条
  • [1] Generalised conformal higher-spin fields in curved backgrounds
    Sergei M. Kuzenko
    Michael Ponds
    [J]. Journal of High Energy Physics, 2020
  • [2] Generalised conformal higher-spin fields in curved backgrounds
    Kuzenko, Sergei M.
    Ponds, Michael
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (04)
  • [3] COMMENTS ON HIGHER-SPIN SYMMETRIES
    Bekaert, Xavier
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2009, 6 (02) : 285 - 342
  • [4] Comments on higher-spin holography
    Bekaert, Xavier
    Joung, Euihun
    Mourad, Jihad
    [J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2012, 60 (7-8): : 882 - 888
  • [5] Higher-spin fields in braneworlds
    Germani, C
    Kehagias, A
    [J]. NUCLEAR PHYSICS B, 2005, 725 (1-2) : 15 - 44
  • [6] On the geometry of higher-spin gauge fields
    Francia, D
    Sagnotti, A
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (12) : S473 - S485
  • [7] A NEW REPRESENTATION FOR HIGHER-SPIN FIELDS
    ROSS, DK
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1980, 58 (01): : 11 - 20
  • [8] CONSISTENT DESCRIPTION OF HIGHER-SPIN FIELDS
    HURLEY, WJ
    [J]. PHYSICAL REVIEW LETTERS, 1972, 29 (21) : 1475 - &
  • [9] On the geometry of higher-spin gauge fields
    Francia, D
    Sagnotti, A
    [J]. PROGRESS IN STRING, FIELD AND PARTICLE THEORY, 2003, 104 : 319 - 334
  • [10] MASSLESS HIGHER-SPIN FIELDS REVISITED
    BENGTSSON, AKH
    BENGTSSON, I
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1986, 3 (05) : 927 - 936