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These notes comprise a part of the introductory lectures on Higher Spin Theory presented in the Eighth Modave Summer School in Mathematical Physics. We construct free higher-spin theories and turn on interactions to find that…

High Energy Physics - Theory · Physics 2013-07-19 Rakibur Rahman

The investigation of strings and M-theory involves the understanding of various BPS solitons which in a certain approximation can be thought of as solutions of ten- and eleven-dimensional supergravity theories. These solitons have a brane…

Differential Geometry · Mathematics 2007-05-23 G. Papadopoulos

We consider the frame-like formulation of reducible sets of totally symmetric bosonic and fermionic higher-spin fields in flat and AdS backgrounds of any dimension, that correspond to so-called higher-spin triplets resulting from the…

High Energy Physics - Theory · Physics 2008-12-18 Dmitri P. Sorokin , Mikhail A. Vasiliev

We analyze detailed properties of BPS coherent states and their connection to gravity. We interpret the group integral coherent state as a path integral over auxiliary variables coupled to the elementary letters of the theory. The…

High Energy Physics - Theory · Physics 2023-02-10 Hai Lin

We study the higher-spin gauge theory in six-dimensional anti-de Sitter space $AdS_6$ that is based on the exceptional Lie superalgebra $F(4)$. The relevant higher-spin algebra was constructed in arXiv:1409.2185 [hep-th]. We determine the…

High Energy Physics - Theory · Physics 2017-09-12 Murat Gunaydin , E. D. Skvortsov , Tung Tran

We consider the $(p+2)$-dimensional gauged supergravities arising as a consistent truncation of type II on $S^{8-p}$, which are associated with the near-horizon limit of D$p$-branes, for $p=2,4,5,6$ (and NS5-branes for $p=5$). In a…

High Energy Physics - Theory · Physics 2025-07-10 Mathieu Boisvert , Pietro Ferrero

We study how the microstates of BPS sectors in string theory are organized in the dual $U(N)$ gauge theory. The microstates take the form of a coherent sum of stacks of branes and their open/closed string excitations. We propose a…

High Energy Physics - Theory · Physics 2022-11-29 Ji Hoon Lee

We elaborate on a new model of the higher-spin (HS) particle which makes manifest the classical equivalence of the HS particle of the unfolded formulation and the HS particle model with a bosonic counterpart of supersymmetry. Both these…

High Energy Physics - Theory · Physics 2008-11-26 Sergey Fedoruk , Evgeny Ivanov

Higher Spin Gravity refers to extensions of gravity including at least one field of spin greater than two. These extensions are expected to provide manageable models of quantum gravity thanks to the infinite-dimensional (higher spin) gauge…

We propose a worldline formulation of higher-spin gravity (HSG) in $\mathrm{AdS}_4$, based on a simple twistor action. Taken at face value, the model describes only the free propagation of massless higher-spin fields. The central…

High Energy Physics - Theory · Physics 2026-05-28 Minkyeu Cho , Euihun Joung , Taehwan Oh , Tung Tran

The conical defect solutions in higher-spin gauge theories on 2+1 dimensional space-times with AdS-asymptotics are conjectured to correspond to certain primary fields in the dual conformal field theory on the boundary. In this note we prove…

High Energy Physics - Theory · Physics 2015-06-16 Andrea Campoleoni , Stefan Fredenhagen

We discuss supersymmetric Yang-Mills theories with the multiple scales in the brane language. The issue concerns N=2 SUSY gauge theories with massive fundamental matter including the UV finite case of $n_{f}=2n_c$, theories involving…

High Energy Physics - Theory · Physics 2009-10-30 A. Gorsky , S. Gukov , A. Mironov

GSO projected Superconformal field theory (Spin Model) with boundary is considered. There were written the boundary states. For this model were derived one-point structure constants and "bootstrap" equations for boundary-bulk structure…

High Energy Physics - Theory · Physics 2009-02-23 S. A. Apikyan , D. A. Sahakyan

The general $\sigma$-model-type string action including both massless and massive higher spins background fields is suggested. Field equations for background fields are followed from the requirement of quantum Weyl invariance. It is shown…

High Energy Physics - Theory · Physics 2010-11-01 I. L. Buchbinder , E. S. Fradkin , S. L. Lyakhovich , V. D. Pershin

Further properties of a recently proposed higher order infinite spin particle model are derived. Infinitely many classically equivalent but different Hamiltonian formulations are shown to exist. This leads to a condition of uniqueness in…

High Energy Physics - Theory · Physics 2009-11-11 Ludde Edgren , Robert Marnelius

The large level limit of the N=2 minimal models that appear in the duality with the N=2 supersymmetric higher spin theory on AdS_3 is shown to be a natural subsector of a certain symmetric orbifold theory. We study the relevant…

High Energy Physics - Theory · Physics 2016-08-24 Matthias R. Gaberdiel , Maximilian Kelm

The possible tensor constructions of open string theories are analyzed from first principles. To this end the algebraic framework of open string field theory is clarified, including the role of the homotopy associative A_\infty algebra, the…

High Energy Physics - Theory · Physics 2009-10-30 Matthias R. Gaberdiel , Barton Zwiebach

One of the most intriguing aspects of Chern-Simons-type topological models is the fractional statistics of point particles which has been shown essential for our understanding of the fractional quantum Hall effects. Furthermore these ideas…

High Energy Physics - Theory · Physics 2015-06-25 C. A. S. Almeida

We study systematically the conformal geometry of higher spin bosonic gauge fields in three spacetime dimensions. We recall the definition of the Cotton tensor for higher spins and establish a number of its properties that turn out to be…

High Energy Physics - Theory · Physics 2016-06-28 Marc Henneaux , Sergio Hörtner , Amaury Leonard

We propose an explanation via string theory of the correspondence between the Coulomb branch of certain three-dimensional supersymmetric gauge theories and certain moduli spaces of magnetic monopoles. The same construction also gives an…

High Energy Physics - Theory · Physics 2010-04-07 Amihay Hanany , Edward Witten