The antifieldbrst formulation of the free theory is an efficient tool to address this problem. Higher spin gauge theory properties hs s 2 appear in in. Latex, 33 pages, no figures, invited talk at the quantum gravity seminar in memory of academician moisei markov, june 1219, 1995, moscow reportno. Higherspin gauge theories are a rich and fascinating topic and in particular the question of interactions represents a severe technical challenge in light of the many deep nogo results. On killing tensors and cubic vertices in higherspin gauge. Some general properties of higher spin gauge theories are summarized with the emphasize on the nonlinear theories in any dimension. In the past strong indications have been given that such theories do not exist. Higher spin gauge theories in fourdimensions, threedimensions, and twodimensions. Pdf we elaborate on conformal higher spin gauge theory in threedimensional 3d curved space. An overview of the relation between four and sixdimensional conformal eld theories is given in 20. On higher derivatives in 3d gravity and higherspin gauge. This suggests that we seek some sort of higher gauge theory that describes parallel transport as we move a path through space, tracing out a surface.
A previously obtained d3 integrating flow is generalized. The spin2 barrier separates theories with usual nitedimensional lower. Higher spin gauge theories higher spin gauge fields a totally symmetric spins field yangmills s1, gravity s2, vasiliev theory nontrivial interacting theories on ads space only equations of motion are known toy models of string theory in the tensionless limit singularity resolution simplified adscft correspondence. Talk given at the international conference quantization, gauge theory and strings in memory of e. N 12 indicating that the bulk coupling constant is g bulk. Introduction higherspin gauge theories have gained a lot of attention in recent years, in particular because of the proposed higherspin adscft correspondence in four and three dimensions see 1, 2. All these issues were discussed at an international workshop in singapore in november 2015 where the leading scientists in the field participated. T 4 can be usefully viewed through the lens of higher spin symmetry. We discuss how to systematically compute the asymptotic symmetry algebras of generic threedimensional bosonic higherspin gauge theories in backgrounds that are asymptotically ads. We will consider both in this thesis, focussing on massless. Properties of nonlinear higher spin gauge theories of totally symmetric massless higher spin fields in antide sitter space of any dimension are discussed with the emphasize on the general aspects of. A list of references on the physics of 5branes is given in 11. Hs theories are interesting on their own as nontrivial extensions of gravity, which share background independence, relation to geometry, etc.
Download pdf higher spin gauge theories free usakochan. For any integer n 2 we introduce a conformal spin \\. Firstly, it allows to compute all onshell local killing tensor fields, which are important because of their deep relationship with higherspin algebras. The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography the disciplines that have been on the cutting edge of theoretical high energy physics and other fields. Metric and framelike higherspin gauge theories in three. Sln chernsimons theories, and we provide a closed formula for the structure. Although it is far from clear how one might introduce interactions consistent with higherspin gauge invariances, it is of interest to consider how the procedure that we have been outlining for spins 1 and 2 generalizes to higher spins, and one purpose of this paper is to. Properties of nonlinear higher spin gauge theories of totally symmetric massless higher spin fields in antide sitter space of any dimension are discussed with the emphasize on the general aspects of the approach. Higher spin theory or higher spin gravity is a common name for field theories that contain massless fields of spin greater than two. It was indeed argued that higherspin gauge theory should describe a maximally symmetric phase of string theory, emerging in. Massless fields are gauge fields and the theories should be almost. This site is like a library, use search box in the widget to get ebook that you want. For example, the higher spin gauge transformations on 4 are s recognized as symplectomorphisms on cp3.
At high energies the masses become negligible signals of a huge gauge symmetry emerging in the limit. After the 1984 string theory revolution, it also triggered important researches from string theorists. Higher spin gauge theories download ebook pdf, epub. Preface to higher spin gauge theories higherspin gauge theory has been a fascinating. One way that higher spin gauge theories are thought to naturally arise is as the limiting case of string field theory when the string tension is sent to zero henneauxteitelboim 87, section 2, gross 88, sagnottitsulaia 03, bonelli 03. Massless fields are gauge fields and the theories should be almost completely fixed by. Aspects of higher spin gauge theories in three and four. Some new results on the 4d conformal higher spin gauge theory are announced. Vasiliev develops higher spin gravity theories on ads with nontrivial interactions, though only equations of motion are known.
Higher spin gauge theories are a rich and fascinating topic and in particular the question of interactions represents a severe technical challenge in light of the many deep nogo results. Higher spin gauge theories download ebook pdf, epub, tuebl. Does nature stop at spin2 or can there also be massless higher spin theories. Tamm department of theoretical physics, lebedev physical institute, leninsky prospect 53, 117924, moscow, russia generalpropertiesof thetheoryofhigherspingauge eldsin ads4 arediscussed. Usually, the spectrum of such theories contains the graviton as a massless spin two field, which explains the second name. This model is a generalisation of the following massive gauge invariant higher spin theories. From supergravity perspective, this is interesting because theories with hs fields may have more supersymmetries than the maximal supergravities with 32 supercharges. Nonassociative gauge theory and higher spin interactions. This book is a printed edition of the special issue higher spin gauge theories that was published in universe download pdf.
However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. This provides a covariant quantization of a 4d space in a rigorous framework, and a simple geometric origin for higher spin theories. Click download or read online button to get higher spin gauge theories book now. Why higherspin gauge theories why are we interested in higherspin gauge theories. In supersymmetric theories these particles can be connected also to massless fermionic particles. Ads description of induced higher spin gauge theories. With the advent of the adscft duality correspondence even stronger indications have been given that higher spin gauge theories play an. Vector models and higher spin gauge theory on ads 4 i the conjecture of polyakov and klebanov relates the singlet sector of the three dimensional on vector. We find a novel structure the higher spin square which is generated by two independent higher spin symmetries. Nonabelian gauge symmetries are the symmetries behind theories for massless spin1 particles, while the reparametrization symmetry is behind einsteins gravity theory for massless spin2 particles.
Gauge theories and the standard model welcome to scipp. Higher spin gauge theories in any dimension sciencedirect. This provides substantial evidence that vasiliev theory is dual to the fre e field theory, thus verifying a conjecture of klebanov and polyakov. Higher spin theories, holography and chernsimons vector models. In the last two decades, two aspects of higherspin gauge theories have been mainly studied. Simone giombi pi higher spins and holography esi, apr 12 2012 4 43. Ads description of induced higherspin gauge theory arxiv. Ts gives rise to generators t2s 2, of a gauge eld of spin s0 2s 2 sand also gives rise to generators t2 of o3. Gauge pde, aksz sigma models, and higher spin theories.
We present an introduction to free higher spin gauge theories in 4d at space, beginning with a discussion of the most wellknown and pertinent of the nogo. We apply these techniques to a oneparameter family of higherspin gauge theories that can be considered as large n limits of sln. Higher spin gauge theories in fourdimensions, three. Ads description of induced higherspin gauge theory citeseerx. Higher spin gauge theories gravity theory with spin 2 gauge field can be extended to theory with spin 2 gauge fields. We describe how the unbroken stringy symmetries of the orbifold cft dual to strings on ads 3. We also argue that the weyl anomaly acoefficients of conformal spin s theories in even dimensions d, such as that of the weylsquared gravity in d 4, can be. Generally by a higher spin field theory is meant a quantum field theory that involves fields of spin 2 \gt 2 recalling that a spinor field has spin 12, a gauge field has spin 1, a gravitino field has spin 32 and the field of gravity has spin 2 folklore had it that all higher spin field theories with massless higher spin fields are inconsistent due to negative norm states.
Pdf topologically massive higher spin gauge theories. To find the right mathematical language for this, we must categorify concepts from topology and geometry, replacing lie groups by lie 2groups, bundles by 2bundles, and so on. Higher spin black holes black hole in higher spin gravity. This model is a generalisation of the following massive gaugeinvariant higherspin theories. Higher spin theories, holography and chernsimons vector. Vasiliev lebedev institute, moscow paros, september 2526, 20 1. With the advent of the adscft duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics. Your book will be printed and delivered directly from one of three print stations, allowing you to profit from economic shipping to. The excitation spectrum of the string sigmamodel contains beyond the massless particles of the effective. We discuss properties of nonlinear equations of motion which describe higher spin gauge interactions for massive spin 0 and spin 12 matter. Some general properties of higher spin gauge theories are summarized, with the emphasize on the nonlinear theories in any dimension. Properties of nonlinear higher spin gauge theories of totally symmetric massless higher spin fields in antide sitter. Higher spin gauge theories solvay workshops and symposia 2004 pdf. Aspects of higher spin gauge theories in three and four dimensions shamik banerjee stanford university december 16, 2012.
We present an introduction to free higherspin gauge theories in 4d at space, beginning with a discussion of the most wellknown and pertinent of the nogo. Usually, the spectrum of such theories contains the graviton as a massless spintwo field, which explains the second name. The gauge field lagrangian gauge invariant lagrangians for spin0 and sping. Solvay workshop on higher spin gauge theories, topological field theory and deformation quantization brussels, february 17 21, 2020 monday 17 february 10. Higher spin gauge theories lars brink, marc henneaux. Nonlinear higher spin theories in various dimensions inspire. Solvay workshop on higher spin gauge theories, topological. International workshop on higher spin gauge theories inspire. The higgs boson is the only particle that has a spin equal to zero which means that it can turn around itself, you can make any angle around it and it still looks the same. Once a gauge eld of spin s 2 appears, the hs symmetry algebra requires an in nite tower of hs gauge elds together with gravity. Chernsimons formulation is possible in 3 dimensions. This paper is a lettertype version of hepth9806236. The symmetry group g can be expressed in general as a direct product of a.
We discuss properties of nonlinear equations of motion which describe higher spin gauge interactions for massive spin 0 and spin 12 matter fields. On higher derivatives in 3d gravity and higherspin gauge theories. Sep 26, 2011 we discuss how to systematically compute the asymptotic symmetry algebras of generic threedimensional bosonic higherspin gauge theories in backgrounds that are asymptotically ads. The purpose of these lectures is to give an introduction to gauge theories and the standard 14. A particular attention is paid to the relationship between.