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Related papers: Higher-derivative superparticle in AdS$_3$ space

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We present the N=2 supersymmetric formulation for the classical and quantum dynamics of a nonrelativistic charged particle on a curved surface in the presence of a perpendicular magnetic field. For a particle moving on a constant-curvature…

High Energy Physics - Theory · Physics 2009-11-07 Seok Kim , Choonkyu Lee

We derive a geometrical characterisation of a large class of AdS_3 and AdS_2 supersymmetric spacetimes in IIB supergravity with non-vanishing five-form flux using G-structures. These are obtained as special cases of a class of…

High Energy Physics - Theory · Physics 2008-11-26 Jerome P. Gauntlett , Oisin A. P. Mac Conamhna

Invariance of the AdS_4 x CP^3 superstring under D=3 N=6 superconformal symmetry is discussed in the sector described by the OSp(4|6)/(SO(1,3) x U(3)) supercoset sigma-model action presented in the conformal basis for the osp(4|6)/(so(1,3)…

High Energy Physics - Theory · Physics 2012-10-03 D. V. Uvarov

A superparticle action which is globally supersymmetric in the target space is proposed. The supersymmetry is the supersymmetric extension of the rotation group O(3).

High Energy Physics - Theory · Physics 2013-09-24 D. G. C. McKeon

We analyze higher derivative corrections to attractor geometries in five dimensions. We find corrected AdS_3xS^2 geometries by solving the equations of motion coming from a recently constructed four-derivative supergravity action in five…

High Energy Physics - Theory · Physics 2010-10-27 Alejandra Castro , Joshua L. Davis , Per Kraus , Finn Larsen

We construct simple twistor-like actions describing superparticles propagating on a coset superspace OSp(1|4)/SO(1,3) (containing the D=4 anti-de-Sitter space as a bosonic subspace), on a supergroup manifold OSp(1|4) and, generically, on…

High Energy Physics - Theory · Physics 2008-11-26 Igor Bandos , Jerzy Lukierski , Christian Preitschopf , Dmitri Sorokin

Recently, a 2d coset model with N=3 superconformal symmetry was proposed to be holographic dual to a higher spin supergravity on AdS_3 and the relation to superstring theory was discussed. However, away from the tensionless limit, there is…

High Energy Physics - Theory · Physics 2015-07-23 Yasuaki Hikida , Peter B. Ronne

We find and classify the ${\cal N}=1$ SUSY multiplets on AdS$_4$ which contain partially massless fields. We do this by studying the non-unitary representations of the $d=3$ superconformal algebra of the boundary. The simplest…

High Energy Physics - Theory · Physics 2018-12-05 Sebastian Garcia-Saenz , Kurt Hinterbichler , Rachel A. Rosen

We present the harmonic superspace formulation of $\mathcal{N}=2$ hypermultiplet in AdS$_4$ background, starting from the proper realization of $4D, \mathcal{N}=2$ superconformal group $SU(2,2|2)$ on the analytic subspace coordinates. The…

High Energy Physics - Theory · Physics 2025-10-31 Evgeny Ivanov , Nikita Zaigraev

It is shown that the supersymmetric extension of the Stelle-West formalism permits the construction of an action for $(3+1)$-dimensional N=1 supergravity with cosmological constant genuinely invariant under the $OSp(4/1).$ Since the action…

High Energy Physics - Theory · Physics 2008-11-26 P. Salgado , S. del Campo , M. Cataldo

We elaborate the definition and properties of "massive" elementary systems in the $(1+3)$-dimensional Anti-de Sitter (AdS$_4$) spacetime, on both classical and quantum levels. We fully exploit the symmetry group {isomorphic to} Sp$(4,R)$,…

Mathematical Physics · Physics 2025-05-15 Mohammad Enayati , Jean-Pierre Gazeau , Mariano A. del Olmo , Hamed Pejhan

Hellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the spectrum of operators carrying a large U(1) charge can be analyzed semiclassically in an expansion in inverse powers of the charge. The key is the operator state…

High Energy Physics - Theory · Physics 2017-06-28 Alexander Monin , David Pirtskhalava , Riccardo Rattazzi , Fiona K. Seibold

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

Proceeding from a nonlinear realization of the most general N=4, d=1 superconformal symmetry, associated with the supergroup D(2,1;alpha), we construct a new model of nonrelativistic N=4 superconformal mechanics. In the bosonic sector it…

High Energy Physics - Theory · Physics 2010-02-03 E. Ivanov , S. Krivonos , O. Lechtenfeld

We derive a semiclassical equation of motion for a `composite' quark in strongly-coupled large-N_c N=4 super-Yang-Mills, making use of the AdS/CFT correspondence. The resulting non-linear equation incorporates radiation damping, and reduces…

High Energy Physics - Theory · Physics 2009-07-22 Mariano Chernicoff , J. Antonio Garcia , Alberto Guijosa

We argue the conjecture that the on-shell component super particle actions have a universal form, in which the physical fermions enter the action through the ein-bein and the space-time derivatives of the matter fields, only. We explicitly…

High Energy Physics - Theory · Physics 2015-06-17 S. Bellucci , N. Kozyrev , S. Krivonos , A. Sutulin

$AdS_3$ space-time admits a foliation by two-dimensional twisted conjugacy classes, stable under the identification subgroup yielding the non-rotating massive BTZ black hole. Each leaf constitutes a classical solution of the space-time…

High Energy Physics - Theory · Physics 2009-11-10 Pierre Bieliavsky , Stéphane Detournay , Marianne Rooman , Philippe Spindel

We review the component Lagrangian construction of the supersymmetric higher spin models in three dimensional (3D) Minkowski and anti de Sitter (AdS) spaces. The approach is based on the frame-like gauge invariant formulation, where massive…

High Energy Physics - Theory · Physics 2017-12-01 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

By making an appropriate choice for gauge fixing kappa-symmetry we obtain a relatively simple form of the actions for a D=11 superparticle in AdS(4) x S(7)/Z_k, and for a D0-brane, fundamental string and D2-branes in the AdS(4) x CP(3)…

High Energy Physics - Theory · Physics 2010-12-17 Pietro Antonio Grassi , Dmitri Sorokin , Linus Wulff

We construct a relativistic and curved space version of action- angle variables for a particle trapped in a gravity and electromagnetic background with time-like isometry. As an example, we consider a particle in AdS background.…

General Relativity and Quantum Cosmology · Physics 2015-11-25 Jaehun Lee , Corneliu Sochichiu