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We describe the pure spinor string in the $AdS_5\times S^5$ using unconstrained matrices first used by Roiban and Siegel for the Green-Schwarz superstring.

High Energy Physics - Theory · Physics 2016-05-04 Israel Ramirez , Brenno Carlini Vallilo

As a step towards formulating projective superspace techniques for supergravity theories with eight supercharges, this work is devoted to field theory in five-dimensional N = 1 anti-de Sitter superspace AdS^{5|8} = SU(2,2|1)/SO(4,1) x U(1)…

High Energy Physics - Theory · Physics 2008-11-26 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

Motivated by recent applications of Carroll symmetries we investigate the geometry of flat and curved (AdS) Carroll space and the symmetries of a particle moving in such a space both in the bosonic as well as in the supersymmetric case. In…

High Energy Physics - Theory · Physics 2016-04-20 Eric Bergshoeff , Joaquim Gomis , Lorena Parra

Motivated by the problem of stability of Anti-de Sitter (AdS) spacetime, we discuss nonlinear gravitational perturbations of maximally symmetric solutions of vacuum Einstein equations in general and the case of AdS in particular. We present…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Andrzej Rostworowski

We construct a one-parameter family of flat currents in AdS_5 x S^1 and AdS_3 x S^3 Green-Schwarz superstrings, which would naturally lead to a hierarchy of classical conserved nonlocal charges. In the former case we rewrite the AdS_5 x S^1…

High Energy Physics - Theory · Physics 2009-11-11 Bin Chen , Ya-Li He , Peng Zhang , Xing-Chang Song

We study the existence and limitations for hyperinvariant tensor networks incorporating a local SU(2) symmetry. As discrete implementations of the anti de-Sitter/conformal field theory (AdS/CFT) correspondence, such networks have created…

Quantum Physics · Physics 2025-10-09 Fynn Otto , Refik Mansuroglu , Norbert Schuch , Otfried Gühne , Hanno Sahlmann

Exponential regularization of orthogonal and Anti-de Sitter (AdS) space is presented based on noncommutative geometry. We show that an adequately adopted noncommutative deformation of geometry makes the holography of higher dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Zhe Chang

We introduce N-extended (p,q) AdS superspaces in three space-time dimensions, with p+q=N and p>=q, and analyse their geometry. We show that all (p,q) AdS superspaces with X^{IJKL}=0 are conformally flat. Nonlinear sigma-models with (p,q)…

High Energy Physics - Theory · Physics 2012-08-10 Sergei M. Kuzenko , Ulf Lindstrom , Gabriele Tartaglino-Mazzucchelli

We carry out a general analysis of the representations of the superconformal algebras SU(2,2/N), OSp(8/4,R) and OSp(8^*/4) and give their realization in superspace. We present a construction of their UIR's by multiplication of the different…

High Energy Physics - Theory · Physics 2007-05-23 Sergio Ferrara , Emery Sokatchev

We study the stability of uniformly moving membrane-like objects in seven dimensional Anti-de Sitter space. This is approached by a linear perturbation analysis and a search for growing modes. We examine both analytic and numerical…

High Energy Physics - Theory · Physics 2015-06-03 Stefan Janiszewski

We study the spectrum of certain two-particle operators in the supergravity regime of the D1-D5 system, focussing on the four-point correlators of tensor multiplets on $AdS_3\times S^3$ at tree level. In Mellin space, these are nicely…

High Energy Physics - Theory · Physics 2022-01-25 Francesco Aprile , Michele Santagata

AdS/CFT-correspondence establishes a relationship between supersymmetric gravity (SUGRA) on Anti-de-Sitter (AdS) space and supersymmetric Yang-Mills (SYM) theory which is conformaly invariant (CFT). The AdS space is the solution of the…

High Energy Physics - Theory · Physics 2007-05-23 E. T. Akhmedov

The Euclidean Anti-de Sitter (AdS) space provides a natural framework for studying boundary conformal field theory (BCFT). We analyze the conformal boundary conditions of the critical O$(N)$ model in $d=4-\epsilon$ dimensions using the…

High Energy Physics - Theory · Physics 2025-07-31 Simone Giombi , Zimo Sun

We propose to embed de Sitter space into five dimensional anti-de Sitter space to compute some physical quantities of interest, using the AdS/CFT correspondence. The static de Sitter can be considered as the conformal structure of the…

High Energy Physics - Theory · Physics 2011-07-19 Miao Li , Yi Pang

We propose studying a new representation of on-shell Anti de Sitter (AdS) amplitude in Mellin Momentum space, where it encodes all the dynamical information in Cosmological Correlators. At tree level, we demonstrate that this amplitude has…

High Energy Physics - Theory · Physics 2024-04-16 Jiajie Mei

The AdS/QCD models are believed to interpolate between low and high energy sectors of QCD. This belief is usually based on observations that many phenomenologically reasonable predictions follow from bounds imposed at high energies although…

High Energy Physics - Phenomenology · Physics 2021-04-28 S. S. Afonin , T. D. Solomko

We examine supersymmetric properties of null-warped AdS$_3$, or alternatively Schrodinger geometries, dual to putative warped CFTs in two dimensions. We classify super Schrodinger subalgebras of the superalgebra psu(1, 1$|$2) $\oplus$…

High Energy Physics - Theory · Physics 2015-06-18 Jaehoon Jeong , Eoin Ó Colgáin , Kentaroh Yoshida

Considered is the formulation for the superstring action in 6 and 10 dimensions involving supertwistor variables that appropriately generalize 4-dimensional Ferber supertwistors. Equations of motion and kappa-symmetry transformations in…

High Energy Physics - Theory · Physics 2008-11-26 D. V. Uvarov

We derive manifestly covariant actions of spinning particles starting from coadjoint orbits of isometry groups, by using Hamiltonian reductions. We show that the defining conditions of a classical Lie group can be treated as Hamiltonian…

High Energy Physics - Theory · Physics 2024-10-25 Thomas Basile , Euihun Joung , TaeHwan Oh

We propose supertwistor realisations of $(p,q)$ anti-de Sitter (AdS) superspaces in three dimensions and $\cal N$-extended AdS superspaces in four dimensions. For each superspace, we identify a two-point function that is invariant under the…

High Energy Physics - Theory · Physics 2022-03-02 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli
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