Mixed-symmetry tensor conserved currents and AdS/CFT correspondence

被引:27
作者
Alkalaev, Konstantin [1 ]
机构
[1] PN Lebedev Phys Inst, IE Tamm Dept Theoret Phys, Moscow 119991, Russia
关键词
MASSLESS FIELDS; GAUGE-FIELDS; SCALAR FIELD;
D O I
10.1088/1751-8113/46/21/214007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present the full list of conserved currents built of two massless spinor fields in Minkowski space and their derivatives multiplied by Clifford algebra elements. The currents have particular mixed-symmetry type described by Young diagrams with one row and one column of arbitrary lengths and heights. Along with Yukawa-like totally antisymmetric currents, the complete set of constructed currents exactly matches the spectrum of AdS mixed-symmetry fields arising in the generalized Flato-Fronsdal theorem for two spinor singletons. As a by-product, we formulate and study general properties of primary fields and conserved currents of mixed-symmetry type.
引用
收藏
页数:16
相关论文
共 61 条
[1]  
Alkalaev K, 2012, ARXIV12100217
[2]  
Alkalaev K B, THEOR MATH PHYS, V140
[3]   Two-column higher-spin massless fields in AdSd space [J].
Alkalaev, KB .
THEORETICAL AND MATHEMATICAL PHYSICS, 2004, 140 (03) :1253-1263
[4]   On the frame-like formulation of mixed-symmetry massless fields in (A)dSd [J].
Alkalaev, KB ;
Shaynkman, OV ;
Vasiliev, MA .
NUCLEAR PHYSICS B, 2004, 692 (03) :363-393
[5]   Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type [J].
Alkalaev, Konstantin ;
Grigoriev, Maxim .
NUCLEAR PHYSICS B, 2011, 853 (03) :663-687
[6]   FV-type action for AdS5 mixed-symmetry fields [J].
Alkalaev, Konstantin .
JOURNAL OF HIGH ENERGY PHYSICS, 2011, (03)
[7]   Unified BRST description of AdS gauge fields [J].
Alkalaev, Konstantin ;
Grigoriev, Maxim .
NUCLEAR PHYSICS B, 2010, 835 (1-2) :197-220
[8]  
[Anonymous], ARXIVHEPTH9910096
[9]   Higher-spin current multiplets in operator-product expansions [J].
Anselmi, D .
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (06) :1383-1400
[10]   Theory of higher spin tensor currents and central charges [J].
Anselmi, D .
NUCLEAR PHYSICS B, 1999, 541 (1-2) :323-368