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This thesis is devoted to the construction of theories describing the consistent propagation of (super)conformal higher-spin fields on curved three- and four-dimensional (super)spaces. In the first half of this thesis we systematically…

High Energy Physics - Theory · Physics 2022-01-26 Michael Ponds

Following arXiv:1308.2337, we carry out one loop tests of higher spin AdS$_{d+1}$/CFT$_d$ correspondences for $d\geq 2$. The Vasiliev theories in AdS$_{d+1}$, which contain each integer spin once, are related to the $U(N)$ singlet sector of…

High Energy Physics - Theory · Physics 2014-04-23 Simone Giombi , Igor R. Klebanov , Benjamin R. Safdi

The local free action principle for bosonic unconstrained higher spin gauge fields in $d$-dimensional (A)dS$_d$ spacetime has been already established by Segal. However, later on, Schuster and Toro, in 4-dimensional flat spacetime,…

High Energy Physics - Theory · Physics 2018-12-20 Mojtaba Najafizadeh

An affine vertex operator construction at arbitrary level is presented which is based on a completely compactified chiral bosonic string whose momentum lattice is taken to be the (Minkowskian) affine weight lattice. This construction is…

High Energy Physics - Theory · Physics 2009-10-30 R. W. Gebert , H. Nicolai

The fundamental string length, which is an essential part of string theory, explicitly breaks scale invariance. However, in field theory we demonstrated recently that the gravitational constant, which is directly related to the string…

High Energy Physics - Theory · Physics 2015-06-22 Itzhak Bars , Paul Steinhardt , Neil Turok

It is natural to believe that the free symmetric product orbifold CFT is dual to the tensionless limit of string theory on AdS3 x S3 x T4. At this point in moduli space, string theory is expected to contain a Vasiliev higher spin theory as…

High Energy Physics - Theory · Physics 2015-06-22 Matthias R Gaberdiel , Rajesh Gopakumar

We establish the relation of partition functions of conformal higher spin fields on Weyl equivalent spaces in $d=4$ dimension. We express the partition function of Weyl graviton and conformal higher spin fields as an integral over…

High Energy Physics - Theory · Physics 2022-04-27 Jyotirmoy Mukherjee

We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained…

High Energy Physics - Theory · Physics 2016-11-23 Mikhail Vasiliev

The spectrum of superstring theory on the $AdS_5 \times S_5$ Ramond-Ramond background in tensionless limit contains integer and half-integer higher-spin fields subject at most to two-rows Young tableaux $Y(s_1,s_2)$. We review the details…

High Energy Physics - Theory · Physics 2010-12-07 Alexander A. Reshetnyak

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields…

High Energy Physics - Theory · Physics 2014-09-10 Ioannis Florakis , Dmitri Sorokin , Mirian Tsulaia

The loop variable technique (for open strings in flat space) is a gauge invariant generalization of the renormalization group method for obtaining equations of motion. Unlike the beta functions, which are only proportional to the equations…

High Energy Physics - Theory · Physics 2008-11-26 B. Sathiapalan

Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

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 consider open spinning string solutions on an AdS_4 x S^2-brane (D5-brane) in the bulk AdS_5 x S^5 background. By taking account of the breaking of SO(6)_R to SO(3)_H x SO(3)_V due to the presence of the AdS-brane, the open rotating…

High Energy Physics - Theory · Physics 2009-11-11 Keisuke Okamura , Yastoshi Takayama , Kentaroh Yoshida

We consider unconstrained formulation of the higher spin gauge theory in anti de Sitter (AdS) spacetime, given by actions [1, 2], and provide on-shell supersymmetry transformations for the $\mathcal{N}=1$ unconstrained massless higher spin…

High Energy Physics - Theory · Physics 2022-01-05 Mojtaba Najafizadeh

We present a slightly modified prescription of the radial pullback formalism proposed previously by R. Manvelyan, R. Mkrtchyan and W. R\"uhl in 2012, where authors investigated possibility to connect the main term of higher spin interaction…

High Energy Physics - Theory · Physics 2019-12-04 Melik Karapetyan , Ruben Manvelyan , Rubik Poghossian

The explicit form of linearized gauge invariant interactions of scalar and general higher even spin fields in the $AdS_{D}$ space is obtained. In the case of general spin $\ell$ a generalized 'Weyl' transformation is proposed and the…

High Energy Physics - Theory · Physics 2014-11-18 Ruben Manvelyan , Karapet Mkrtchyan

We construct a first order parent field theory for free higher spin gauge fields on constant curvature spaces. As in the previously considered flat case, both Fronsdal's and Vasiliev's unfolded formulations can be reached by two different…

High Energy Physics - Theory · Physics 2009-11-11 Glenn Barnich , Maxim Grigoriev

We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is…

High Energy Physics - Theory · Physics 2015-06-19 Nelson R. F. Braga , Edmond Iancu