On OSp(N |2) superconformal mechanics

Abstract

Superparticle models with OSp(N |2) supersymmetry group are studied. We first consider the N = 4 case and construct the models with κ-symmetry on the coset spaces of the OSp(N |2) supergroup. In addition, within the canonical formalism we present an OSp(4|2) superparticle model with semi-dynamical angular variables. For generic N we construct a superparticle model on AdS ₂ × S ^{N −1} with the reduced κ-symmetry. It is demonstrated that the Hamiltonian of this model has the same structure as the one for the N = 4 casebecauseadditionalfermionscontributetothesecond-classconstraintsonly.

Original language	English
Article number	170
Journal	Journal of High Energy Physics
Volume	2019
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2019)170
Publication status	Published - 1 Feb 2019

Keywords

Extended Supersymmetry
Gauge Symmetry
p-branes
Superspaces

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP02(2019)170

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title = "On OSp(N |2) superconformal mechanics",

abstract = " Superparticle models with OSp(N |2) supersymmetry group are studied. We first consider the N = 4 case and construct the models with κ-symmetry on the coset spaces of the OSp(N |2) supergroup. In addition, within the canonical formalism we present an OSp(4|2) superparticle model with semi-dynamical angular variables. For generic N we construct a superparticle model on AdS 2 × S N −1 with the reduced κ-symmetry. It is demonstrated that the Hamiltonian of this model has the same structure as the one for the N = 4 casebecauseadditionalfermionscontributetothesecond-classconstraintsonly. ",

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AB - Superparticle models with OSp(N |2) supersymmetry group are studied. We first consider the N = 4 case and construct the models with κ-symmetry on the coset spaces of the OSp(N |2) supergroup. In addition, within the canonical formalism we present an OSp(4|2) superparticle model with semi-dynamical angular variables. For generic N we construct a superparticle model on AdS 2 × S N −1 with the reduced κ-symmetry. It is demonstrated that the Hamiltonian of this model has the same structure as the one for the N = 4 casebecauseadditionalfermionscontributetothesecond-classconstraintsonly.

KW - Extended Supersymmetry

KW - Gauge Symmetry

KW - p-branes

KW - Superspaces

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