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We show that the massless higher spin four-dimensional particle model with bosonic counterpart of N=1 supersymmetry respects SU(3,2) invariance. We extend this particle model to a superparticle possessing $SU(3,2|1)$ supersymmetry which is…

High Energy Physics - Theory · Physics 2008-11-26 S. Fedoruk , E. Ivanov , J. Lukierski

We consider a D=4 two-twistor lagrangian for a massive particle that incorporates the mass-shell condition in an algebraic way, and extend it to a two-supertwistor model with N=2 supersymmetry and central charge identified with the mass. In…

High Energy Physics - Theory · Physics 2009-01-27 J. A. de Azcarraga , J. M. Izquierdo , J. Lukierski

We consider the quantum mechanics of a particle on the coset superspace $SU(2|1)/[U(1)\times U(1)]$, which is a super-flag manifold with $SU(2)/U(1)\cong S^2$ `body'. By incorporating the Wess-Zumino terms associated with the $U(1)\times…

High Energy Physics - Theory · Physics 2016-11-23 Evgeny Ivanov , Luca Mezincescu , Paul K. Townsend

A connection between weak and strong tension limits and their perturbative corrections is discussed. New twistor-like models based on D=4, N=1 tensionless superstring and superbrane with tensor central charges are studied. The presence of…

High Energy Physics - Theory · Physics 2011-07-19 A. A. Zheltukhin , D. V. Uvarov

We propose a bottom-up approach to the building of particle physics models from string theory. Our building blocks are Type II D-branes which we combine appropriately to reproduce desirable features of a particle theory model: 1) Chirality…

High Energy Physics - Theory · Physics 2009-10-31 G. Aldazabal , L. E. Ibanez , F. Quevedo , A. M. Uranga

We argue that there exists a new class of completely smooth 1/8-BPS, three-charge bound state configurations that depend upon arbitrary functions of two variables. These configurations are locally 1/2-BPS objects in that if they form an…

High Energy Physics - Theory · Physics 2011-11-03 Iosif Bena , Jan de Boer , Masaki Shigemori , Nicholas P. Warner

A SU(3) \times SU(2) \times U(1) supersymmetric theory is constructed with a TeV sized extra dimension compactified on the orbifold S^1/(Z_2 \times Z_2'). The compactification breaks supersymmetry leaving a set of zero modes which…

High Energy Physics - Phenomenology · Physics 2009-09-29 Riccardo Barbieri , Lawrence J. Hall , Yasunori Nomura

We present a gauged twistor model of a free massive spinning particle in four-dimensional Minkowski space. This model is governed by an action, referred to here as the gauged generalized Shirafuji (GGS) action, that consists of twistor…

High Energy Physics - Theory · Physics 2016-04-19 Shinichi Deguchi , Satoshi Okano

In this paper we construct the supersymmetric tensor hierarchy of N=1, d=4 supergravity. We find some differences with the general bosonic construction of 4-dimensional gauged supergravities. The global symmetry group of N=1,d=4…

High Energy Physics - Theory · Physics 2009-07-22 Jelle Hartong , Mechthild Huebscher , Tomas Ortin

Starting with the first-order formulation of the massless superparticle model on the $AdS_5\times S^5$ superbackground and presenting the momentum components tangent to $AdS_5$ and $S^5$ subspaces as bilinear combinations of the constrained…

High Energy Physics - Theory · Physics 2020-07-27 D. V. Uvarov

We construct a five dimensional supersymmetric SO(10)$\times$D$_3$ grand unified model with an $S^1/(Z_2 \times Z^\prime_2)$ orbifold as the extra dimension. The orbifold breaks half of the supersymmetry and breaks the SO(10) gauge symmetry…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hyung Do Kim , Stuart Raby , Leslie Schradin

We quantize the one-particle model of the ${\rm SU}(2|1)$ supersymmetric multi-particle mechanics with the additional semi-dynamical spin degrees of freedom. We find the relevant energy spectrum and the full set of physical states as…

High Energy Physics - Theory · Physics 2018-01-30 Sergey Fedoruk , Evgeny Ivanov , Stepan Sidorov

A model for $n$ superparticles in $(d-n,n)$ dimensions is studied. The target space supersymmetry involves a product of $n$ momentum generators, and the action has $n(n+1)/2$ local bosonic symmetries and $n$ local fermionic symmetries. The…

High Energy Physics - Theory · Physics 2009-10-30 I. Rudychev , E. Sezgin

Coordinate atypical representation of the orthosymplectic superalgebra osp(2/2) in a Hilbert superspace of square integrable functions constructed in a special way is given. The quantum nonrelativistic free particle Hamiltonian is an…

Quantum Physics · Physics 2016-09-08 Boris F. Samsonov

We perform the momentum-space quantization of a spin-less particle moving on the $SU(2)$ group manifold, that is, the three-dimensional sphere $S^{3}$, by using a non-canonical method entirely based on symmetry grounds. To achieve this…

Mathematical Physics · Physics 2020-04-22 Julio Guerrero , Francisco F. López-Ruiz , Victor Aldaya

We present a new particle model that describes the dynamics of a $4D,$ $\mathcal{N}{=}\,1$ continuous spin particle in $AdS_4$ superspace and is a generalization of the continuous-spin superparticle model in flat $4D$, $\mathcal{N}{=}\,1$…

High Energy Physics - Theory · Physics 2025-09-19 I. L. Buchbinder , S. A. Fedoruk

We classify the admissible types of constraint (hermitian, holomorphic, with reality conditions on the bosonic sectors, etc.) for generalized supersymmetries in the presence of complex spinors. We further point out which constrained…

High Energy Physics - Theory · Physics 2009-11-11 Zhanna Kuznetsova , Francesco Toppan

In the (super)twistor formulation of massless (super)particle mechanics, the mass-shell constraint is replaced by a "spin-shell" constraint from which the spin content can be read off. We extend this formalism to massive (super)particles…

High Energy Physics - Theory · Physics 2015-06-18 Luca Mezincescu , Alasdair J. Routh , Paul K. Townsend

A formulation of $D\is 10$ superparticle dynamics is given that contain space-time and twistor variables. The set of constraints is entirely first class, and gauge conditions may be imposed that reduces the system to a…

High Energy Physics - Theory · Physics 2015-06-26 Martin Cederwall

We present a novel twistor formulation of the ten-dimensional massless superparticle. This formulation is based on the introduction of pure spinor variables through a field redefinition of another model for the superparticle, and in the new…

High Energy Physics - Theory · Physics 2020-08-04 Diego García Sepúlveda , Max Guillen