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. Chernsimons formulation is possible in 3 dimensions. Gauge pde, aksz sigma models, and higher spin theories. This model is a generalisation of the following massive gauge invariant higher spin theories. Why higherspin gauge theories why are we interested in higherspin gauge theories. Talk given at the international conference quantization, gauge theory and strings in memory of e. Higher spin theories, holography and chernsimons vector. Download pdf higher spin gauge theories free usakochan. Usually, the spectrum of such theories contains the graviton as a massless spintwo field, which explains the second name. This model is a generalisation of the following massive gaugeinvariant higherspin theories. Vasiliev lebedev institute, moscow paros, september 2526, 20 1. In the past strong indications have been given that such theories do not exist.
We apply these techniques to a oneparameter family of higherspin gauge theories that can be considered as large n limits of sln. All these issues were discussed at an international workshop in singapore in november 2015 where the leading scientists in the field participated. For example, the higher spin gauge transformations on 4 are s recognized as symplectomorphisms on cp3. 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. Higher spin theories, holography and chernsimons vector models. 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. Higher spin gauge theories gravity theory with spin 2 gauge field can be extended to theory with spin 2 gauge fields.
Ads description of induced higher spin gauge theories. Some new results on the 4d conformal higher spin gauge theory are announced. Solvay workshop on higher spin gauge theories, topological. 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 theory properties hs s 2 appear in in.
With the advent of the adscft duality correspondence even stronger indications have been given that higher spin gauge theories play an. 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. A list of references on the physics of 5branes is given in 11. Ads description of induced higherspin gauge theory arxiv. 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. Ads description of induced higherspin gauge theory citeseerx. In the last two decades, two aspects of higherspin gauge theories have been mainly studied. A previously obtained d3 integrating flow is generalized. 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.
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. Sln chernsimons theories, and we provide a closed formula for the structure. This site is like a library, use search box in the widget to get ebook that you want. 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. The spin2 barrier separates theories with usual nitedimensional lower. Some general properties of higher spin gauge theories are summarized, with the emphasize on the nonlinear theories in any dimension. In supersymmetric theories these particles can be connected also to massless fermionic particles. At high energies the masses become negligible signals of a huge gauge symmetry emerging in the limit. Vasiliev develops higher spin gravity theories on ads with nontrivial interactions, though only equations of motion are known. Higher spin gauge theories in fourdimensions, threedimensions, and twodimensions.
An overview of the relation between four and sixdimensional conformal eld theories is given in 20. Nonassociative gauge theory and higher spin interactions. A particular attention is paid to the relationship between. 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. For any integer n 2 we introduce a conformal spin \\. Preface to higher spin gauge theories higherspin gauge theory has been a fascinating.
We will consider both in this thesis, focussing on massless. 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. We discuss properties of nonlinear equations of motion which describe higher spin gauge interactions for massive spin 0 and spin 12 matter. It was indeed argued that higherspin gauge theory should describe a maximally symmetric phase of string theory, emerging in. Tamm department of theoretical physics, lebedev physical institute, leninsky prospect 53, 117924, moscow, russia generalpropertiesof thetheoryofhigherspingauge eldsin ads4 arediscussed. 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. 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. 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. The purpose of these lectures is to give an introduction to gauge theories and the standard 14. Higher spin gauge theories download ebook pdf, epub, tuebl. Click download or read online button to get higher spin gauge theories book now. Aspects of higher spin gauge theories in three and four.
Your book will be printed and delivered directly from one of three print stations, allowing you to profit from economic shipping to. Higher spin gauge theories in any dimension sciencedirect. The excitation spectrum of the string sigmamodel contains beyond the massless particles of the effective. Latex, 33 pages, no figures, invited talk at the quantum gravity seminar in memory of academician moisei markov, june 1219, 1995, moscow reportno. 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. Metric and framelike higherspin gauge theories in three. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. We find a novel structure the higher spin square which is generated by two independent higher spin symmetries. 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. 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 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. From supergravity perspective, this is interesting because theories with hs fields may have more supersymmetries than the maximal supergravities with 32 supercharges. The gauge field lagrangian gauge invariant lagrangians for spin0 and sping. Higher spin theory or higher spin gravity is a common name for field theories that contain massless fields of spin greater than two. After the 1984 string theory revolution, it also triggered important researches from string theorists. Massless fields are gauge fields and the theories should be almost. N 12 indicating that the bulk coupling constant is g bulk. The antifieldbrst formulation of the free theory is an efficient tool to address this problem. Hs theories are interesting on their own as nontrivial extensions of gravity, which share background independence, relation to geometry, etc. This provides a covariant quantization of a 4d space in a rigorous framework, and a simple geometric origin for higher spin theories. 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. We describe how the unbroken stringy symmetries of the orbifold cft dual to strings on ads 3. Does nature stop at spin2 or can there also be massless higher spin theories. On killing tensors and cubic vertices in higherspin gauge.
Higher spin gauge theories download ebook pdf, epub. Pdf we elaborate on conformal higher spin gauge theory in threedimensional 3d curved space. Higher spin gauge theories solvay workshops and symposia 2004 pdf. 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. T 4 can be usefully viewed through the lens of higher spin symmetry. Higher spin gauge theories lars brink, marc henneaux. Usually, the spectrum of such theories contains the graviton as a massless spin two field, which explains the second name. Gauge theories and the standard model welcome to scipp. Higher spin black holes black hole in higher spin gravity. Massless fields are gauge fields and the theories should be almost completely fixed by. 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. We discuss how to systematically compute the asymptotic symmetry algebras of generic threedimensional bosonic higherspin gauge theories in backgrounds that are asymptotically ads. In this paper we calculate the tree level threepoint functi ons of vasilievs higher spin gauge theory in ads 4 and find agreement with the correlators of the free field theory of n massless scalars in three dimensions in the on singlet sector.
International workshop on higher spin gauge theories inspire. Firstly, it allows to compute all onshell local killing tensor fields, which are important because of their deep relationship with higherspin algebras. The prototype model for su 2 u1 electroweak interactions. This book is a printed edition of the special issue higher spin gauge theories that was published in universe download pdf. 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. 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. Aspects of higher spin gauge theories in three and four dimensions shamik banerjee stanford university december 16, 2012. 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. Properties of nonlinear higher spin gauge theories of totally symmetric massless higher spin fields in antide sitter. Nonlinear higher spin theories in various dimensions inspire. We discuss properties of nonlinear equations of motion which describe higherspin gauge interactions for massive spin0 and spin12 matter. Higher spin gauge theories in fourdimensions, three. The symmetry group g can be expressed in general as a direct product of a.
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