Higher spins from exotic dualisations

被引:8
作者
Boulanger, Nicolas [1 ]
Lekeu, Victor [2 ]
机构
[1] Univ Mons UMONS, Phys Univers Champs & Gravitat, Pl Parc 20, B-7000 Mons, Belgium
[2] Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Potsdam, Germany
基金
欧洲研究理事会;
关键词
Gauge Symmetry; Higher Spin Symmetry; Topological Field Theories; String Duality;
D O I
10.1007/JHEP03(2021)171
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
At the free level, a given massless field can be described by an infinite number of different potentials related to each other by dualities. In terms of Young tableaux, dualities replace any number of columns of height h(i) by columns of height D - 2 - h(i), where D is the spacetime dimension: in particular, applying this operation to empty columns gives rise to potentials containing an arbitrary number of groups of D - 2 extra antisymmetric indices. Using the method of parent actions, action principles including these potentials, but also extra fields, can be derived from the usual ones. In this paper, we revisit this off-shell duality and clarify the counting of degrees of freedom and the role of the extra fields. Among others, we consider the examples of the double dual graviton in D = 5 and two cases, one topological and one dynamical, of exotic dualities leading to spin three fields in D = 3.
引用
收藏
页数:29
相关论文
共 36 条
[1]   HIGHER SPIN FIELDS WITH MIXED SYMMETRY [J].
AULAKH, CS ;
KOH, IG ;
OUVRY, S .
PHYSICS LETTERS B, 1986, 173 (03) :284-288
[2]   On geometric equations and duality for free higher spins [J].
Bekaert, X ;
Boulanger, N .
PHYSICS LETTERS B, 2003, 561 (1-2) :183-190
[3]   Tensor gauge fields in arbitrary representations of GL(D,R).: Duality and Poincare lemma [J].
Bekaert, X ;
Boulanger, N .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 245 (01) :27-67
[4]   No self-interaction for two-column massless fields [J].
Bekaert, X ;
Boulanger, N ;
Cnockaert, S .
JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (01)
[5]  
Bekaert X., 2005, HIGH SPIN GAUG THEOR, P132
[6]   Exotic dual of type II double field theory [J].
Bergshoeff, Eric A. ;
Hohm, Olaf ;
Riccioni, Fabio .
PHYSICS LETTERS B, 2017, 767 :374-379
[7]   Dual double field theory [J].
Bergshoeff, Eric A. ;
Hohm, Olaf ;
Penas, Victor A. ;
Riccioni, Fabio .
JOURNAL OF HIGH ENERGY PHYSICS, 2016, (06) :1-37
[8]   Defect branes [J].
Bergshoeff, Eric A. ;
Ortin, Tomas ;
Riccioni, Fabio .
NUCLEAR PHYSICS B, 2012, 856 (02) :210-227
[9]  
Boulanger N, 2003, J HIGH ENERGY PHYS
[10]  
Boulanger N., NEW TOPOLOGICAL HIGH