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SIGMA, 2008, том 4, 013, 23 страниц (Mi sigma266)  

Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)

Towards Unifying Structures in Higher Spin Gauge Symmetry

Anders K. H. Bengtsson

School of Engineering, University College of Borås, Allégatan 1, SE-50190 Borås, Sweden

Аннотация: This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical constructs and not circumstances where they occur as part of another system. Considering the problem of introducing interactions among higher spin gauge fields, there has historically been two broad avenues of approach. One approach entails gauging a non-Abelian global symmetry algebra, in the process making it local. The other approach entails deforming an already local but Abelian gauge algebra, in the process making it non-Abelian. In cases where both avenues have been explored, such as for spin 1 and 2 gauge fields, the results agree (barring conceptual and technical issues) with Yang–Mills theory and Einstein gravity. In the case of an infinite tower of higher spin gauge fields, the first approach has been thoroughly developed and explored by M. Vasiliev, whereas the second approach, after having lain dormant for a long time, has received new attention by several authors lately. In the present paper we briefly review some aspects of the history of higher spin gauge fields as a backdrop to an attempt at comparing the gauging vs. deforming approaches. A common unifying structure of strongly homotopy Lie algebras underlying both approaches will be discussed. The modern deformation approach, using BRST-BV methods, will be described as far as it is developed at the present time. The first steps of a formulation in the categorical language of operads will be outlined. A few aspects of the subject that seems not to have been thoroughly investigated are pointed out.

Ключевые слова: higher spin; gauge field theory; BRST-BV methods


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Реферативные базы данных:

ArXiv: 0802.0479
Тип публикации: Статья
MSC: 70S10; 70S20; 70G60; 70H45; 81T13; 81T70
Поступила: 1 ноября 2007 г.; в окончательном варианте 25 января 2008 г.; опубликована 4 февраля 2008 г.
Язык публикации: английский

Образец цитирования: Anders K. H. Bengtsson, “Towards Unifying Structures in Higher Spin Gauge Symmetry”, SIGMA, 4 (2008), 013, 23 pp.

Цитирование в формате AMSBIB
\by Anders K.~H.~Bengtsson
\paper Towards Unifying Structures in Higher Spin Gauge Symmetry
\jour SIGMA
\yr 2008
\vol 4
\papernumber 013
\totalpages 23

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    Citing articles on Google Scholar: Russian citations, English citations
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    Эта публикация цитируется в следующих статьяx:
    1. Sebastian Guttenberg, George Savvidy, “Schwinger–Fronsdal Theory of Abelian Tensor Gauge Fields”, SIGMA, 4 (2008), 061, 17 pp.  mathnet  crossref  mathscinet  zmath
    2. Bekaert X., “Comments on higher-spin symmetries”, Int. J. Geom. Methods Mod. Phys., 6:2 (2009), 285–342  crossref  mathscinet  zmath  isi  elib  scopus
    3. Gershun V.D., Cirilo-Lombardo D.J., “Higher spin particles in the discrete string model approach”, J. Phys. A, 43:30 (2010), 305401, 12 pp.  crossref  mathscinet  zmath  isi  elib  scopus
    4. Colombo N., Sundell P., “Twistor space observables and quasi-amplitudes in 4D higher-spin gravity”, Journal of High Energy Physics, 2011, no. 11, 042  crossref  mathscinet  zmath  isi  scopus
    5. Bekaert X., Boulanger N., Sundell P.A., “How Higher-Spin Gravity Surpasses the Spin-Two Barrier”, Rev. Mod. Phys., 84:3 (2012)  crossref  isi  elib  scopus
    6. Boulanger N. Ponomarev D. Skvortsov E. Taronna M., “On the Uniqueness of Higher-Spin Symmetries in AdS and CFT”, Int. J. Mod. Phys. A, 28:31 (2013), 1350162  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    7. Bengtsson A.K.H., “a Riccati Type PDE For Light-Front Higher Helicity Vertices”, J. High Energy Phys., 2014, no. 9, 105  crossref  mathscinet  zmath  isi  elib  scopus
    8. Bengtsson A.K.H., “Investigations Into Light-Front Interactions For Massless Fields (i): Non-Constructibility of Higher Spin Quartic Amplitudes”, J. High Energy Phys., 2016, no. 12, 134  crossref  mathscinet  zmath  isi  scopus
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