An \(n=(1,1)\) super-Toda model based on OSp\((1| 4)\)

DOI10.1023/A:1007396708587zbMATH Open0882.17015arXivhep-th/9610038OpenAlexW1543232581MaRDI QIDQ1372950

J. Ning

Publication date: 2 March 1998

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Abstract: We show that a Hamiltonian reduction of affine Lie superalgebras having bosonic simple roots (such as $OSp(1|4)$) ``does produce supersymmetric Toda models, with superconformal symmetry being nonlinearly realised for those fields of the Toda system which are related to the bosonic simple roots of the superalgebra. A fermionic $b-c$ system of conformal spin $(3/2,-1/2)$ is a natural ingredient of such models.

Full work available at URL: https://arxiv.org/abs/hep-th/9610038

zbMATH Keywords

Hamiltonian reductionaffine Lie superalgebrassuperstringssuperconformal symmetrysupersymmetric Toda models

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Superalgebras (17A70)

Related Items (1)

\(\text{OSp}(1| 2)\) and \(\text{Sl}(2)\) reductions in generalized super-Toda models and factorization of spin-\(\frac12\) fields.

Recommendations

• Title not available (Why is that?) 👍 👎
• Supermatrix models for M-theory based on \(\text{osp}(1|32,\mathbb{R})\) 👍 👎
• \(D=4, N=1\) supersymmetric Henneaux-Knaepen models 👍 👎
• On 1D, \(\mathcal{N} = 4\) supersymmetric SYK-type models. II. 👍 👎
• \(N=(1|1)\) supersymmetric dispersionless Toda lattice hierarchy 👍 👎
• A new invariant of superconformal OSp(n‖1) 👍 👎
• On nonminimal ${\cal N}=4$N=4 supermultiplets in 1D and their associated σ-models 👍 👎
• A superintegrable model with reflections onSⁿ⁻¹and the higher rank Bannai–Ito algebra 👍 👎

This page was built for publication: An \(n=(1,1)\) super-Toda model based on OSp\((1| 4)\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1372950)