THE POINCARÉ–CARTAN FORM IN SUPERFIELD THEORY-Reference-Cited by-同舟云学术

THE POINCARÉ–CARTAN FORM IN SUPERFIELD THEORY

Published:2006-06 Issue:04 Volume:03 Page:775-822
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

MONTERDE JUAN¹,MASQUÉ JAIME MUÑOZ²,VALLEJO JOSÉ A.³⁴

Affiliation:

1. Departament de Geometria i Topologia, Universitat de València, Av. V. A. Estellés 1, 46100-Burjassot, Spain

2. Instituto de Física Aplicada, CSIC, C/ Serrano 144, 28006-Madrid, Spain

3. Departament de Matemática Aplicada IV, Universitat Politécnica de Catalunya, Av. Canal Olímpic s/n, 08860-Castelldefels, Spain

4. Facultad de Ciencias, Universidad Autónoma de San Luis Potosí, Lateral Av. Salvador Nava s/n, 78220-SLP, México

Abstract

An intrinsic description of the Hamilton–Cartan formalism for first-order Berezinian variational problems determined by a submersion of supermanifolds is given. This is achieved by studying the associated higher-order graded variational problem through the Poincaré–Cartan form. Noether theorem and examples from superfield theory and supermechanics are also discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887806001375

Reference41 articles.

1. Variational principles onrth order jets of fibre bundles in field theory

2. Vector bundles, rth order Noether invariants and canonical symmetries in Lagrangian field theory

3. The Geometry of Supermanifolds

4. The structure of supermanifolds

5. Two approaches to supermanifolds

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Graded jet geometry;Journal of Geometry and Physics;2024-09

2. Graded Jet Geometry;2024

3. The Tools of Mechanics by E. Cartan and Classical Field Theory;2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus);2021-01-26

4. Differential Calculus onN-Graded Manifolds;Journal of Mathematics;2017

5. Higher-Stage Noether Identities and Second Noether Theorems;Advances in Mathematical Physics;2015