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Related papers: Currents of Arbitrary Spin in $AdS_3$

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We develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the…

High Energy Physics - Theory · Physics 2015-06-05 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We make a general Killing spinor analysis of a particular $D=3, \, N=4$ gauged supergravity that comes from a consistent S$^3$ reduction of $D=6, \, N=(1,0)$ supergravity coupled to a single chiral tensor multiplet. We then focus on its…

High Energy Physics - Theory · Physics 2024-11-01 Nihat Sadik Deger , Ceren Ayse Deral , Aritra Saha , Özgür Sarıoğlu

We study the exact solutions of both, massless and massive, scalar field theory on the noncommutative $AdS_2$. We also discuss some important limits in order to compare with known results.

High Energy Physics - Theory · Physics 2023-08-08 A. Pinzul , A. Stern

The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field…

High Energy Physics - Theory · Physics 2010-04-22 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We pursue the construction of higher-spin theory in AdS_4 from CFT_3 of the O(N) vector model in terms of canonical collective fields. In null plane quantization an exact map is established between the two spaces. The coordinates of the…

High Energy Physics - Theory · Physics 2011-01-28 Robert de Mello Koch , Antal Jevicki , Kewang Jin , João P. Rodrigues

Light-cone gauge formulation of fields in AdS space and conformal field theory in flat space adapted for the study of AdS/CFT correspondence is developed. Arbitrary spin mixed-symmetry fields in AdS space and arbitrary spin mixed-symmetry…

High Energy Physics - Theory · Physics 2016-08-12 R. R. Metsaev

In this paper, we study the spin chain and string excitation in the rotating Rindler-$AdS_3$ proposed in [12]. We obtain a one-parameter deformed $SL(2)$ spin chain at the fast spin limit. Two-spin GKP-like solutions are studied at short…

High Energy Physics - Theory · Physics 2014-04-09 Shou-Huang Dai , Shogo Kuwakino , Wen-Yu Wen

We introduce a covariant non-commutative deformation of 3+1-dimensional conformal field theory. The deformation depends on a short-distance scale \ell_p, and thus breaks scale invariance, but preserves all space-time isometries. The…

High Energy Physics - Theory · Physics 2015-06-18 Jonathan Heckman , Herman Verlinde

In the framework of gauge invariant approach involving Stueckelberg and auxiliary fields, totally symmetric arbitrary spin anomalous conformal current and shadow field in flat space-time of dimension greater than or equal to four are…

High Energy Physics - Theory · Physics 2013-05-30 R. R. Metsaev

Electrostatics on global Anti-de-Sitter (AdS) spacetime is sharply different from that on global Minkowski spacetime. It admits a multipolar expansion with everywhere regular, finite energy solutions, for every multipole moment except the…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Carlos Herdeiro , Eugen Radu

We derive the transverse projection operators for fields with arbitrary integer and half-integer spin on three-dimensional anti-de Sitter space, AdS$_3$. The projectors are constructed in terms of the quadratic Casimir operators of the…

High Energy Physics - Theory · Physics 2021-10-27 Daniel Hutchings , Sergei M. Kuzenko , Michael Ponds

We present several new results which will be of value to theorists working with massive spin-3/2 vector-spinor fields as found, for example, in low and intermediate energy hadron physics and also linearized supergravity. The general…

High Energy Physics - Phenomenology · Physics 2009-11-10 Terry Pilling

Utilizing the conformal-flatness nature of 3-dim. Anti-de Sitter (AdS_3) black hole solution of Banados, Teitelboim and Zanelli, the quantisation of conformally-coupled scalar and spinor fields in this background spacetime is explicitly…

High Energy Physics - Theory · Physics 2009-10-30 Hongsu Kim , Jae-Sok Oh , Changrim Ahn

The form of higher-spin current interactions in the sector of one-forms is derived from the nonlinear higher-spin equations in $AdS_4$. Quadratic corrections to higher-spin equations are shown to be independent of the phase of the parameter…

High Energy Physics - Theory · Physics 2018-06-13 O. A. Gelfond , M. A. Vasiliev

We revisit the problem of consistent free propagation of higher-spin fields in nontrivial backgrounds, focusing on symmetric tensor(-spinor)s. The Fierz-Pauli equations for massive fields in flat space form an involutive system, whose…

High Energy Physics - Theory · Physics 2021-02-24 Rakibur Rahman

We construct the Lagrangian description of arbitrary integer higher spin massless fields on the background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. Pashnev , M. Tsulaia

In this paper we derive holographic wave equations for hadrons with arbitrary spin starting from an effective action in a higher-dimensional space asymptotic to anti-de Sitter (AdS) space. Our procedure takes advantage of the local tangent…

High Energy Physics - Phenomenology · Physics 2013-04-10 Guy F. de Teramond , Hans Gunter Dosch , Stanley J. Brodsky

In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin $(s+\frac 12)$, where $s=2,3, \dots$. These supersymmetric higher spin gauge theories, known as longitudinal and transverse, are…

High Energy Physics - Theory · Physics 2018-04-23 Jessica Hutomo , Sergei M. Kuzenko

We study rigidly rotating and pulsating $(m,n)$ strings in $AdS_3 \times S^3$ with mixed three form flux. The $AdS_3 \times S^3$ background with mixed three form flux is obtained in the near horizon limit of $SL(2,Z)$-transformed solution,…

High Energy Physics - Theory · Physics 2016-10-18 Sorna Prava Barik , Malak Khouchen , Josef Kluson , Kamal L. Panigrahi

We study the space of Killing fields on the four dimensional AdS spacetime $AdS^{3,1}$. Two subsets $\mathcal{S}$ and $\mathcal{O}$ are identified: $\mathcal{S}$ (the spinor Killing fields) is constructed from imaginary Killing spinors, and…

Differential Geometry · Mathematics 2016-01-05 Po-Ning Chen , Pei-Ken Hung , Mu-Tao Wang , Shing-Tung Yau