Abstract
Abstract
In this work we consider the higher dimensional Skyrme model, with spatial dimension d > 3, focusing on its BPS submodels and their corresponding features. To accommodate the cases with a higher topological degree, B ≥ 1, a modified generalized hedgehog ansatz is used where we assign an integer ni for each rotational plane, resulting in a topological degree that proportional to product of these integers. It is found via BPS Lagrangian method that there are only two possible BPS submodels for this spherically symmetric ansatz which shall be called as BPS Skyrme model and scale-invariant model. The properties of the higher dimensional version of both submodels are studied and it is found that the BPS Skyrmions with B ≥ 1 exist in the first submodel but there is only B = 1 BPS Skyrmion in the second submodel. We also study the higher dimensional version of self-duality conditions in terms of strain tensor eigenvalues and find that, in general, the scale-invariant model has a stronger self-duality condition than the BPS Skyrme model.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference37 articles.
1. T.H.R Skyrme, A Nonlinear field theory, Proc. Roy. Soc. Lond. A 260 (1961) 127.
2. T.H.R. Skyrme, A Unified Field Theory of Mesons and Baryons, Nucl. Phys. 31 (1962) 556 [INSPIRE].
3. N.S. Manton and P. Sutcliffe, Topological solitons, Cambridge University Press, Cambridge, U.K. (2007).
4. G.H. Derrick, Comments on nonlinear wave equations as models for elementary particles, J. Math. Phys. 5 (1964) 1252 [INSPIRE].
5. Y. Dothan and L.C. Biedenharn, Old Models Never Die: The Revival of the Skyrme Model, Comments Nucl. Part. Phys. 17 (1987) 63 [INSPIRE].
Cited by
1 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. Bogomol’nyi-like equations in gravity theories;The European Physical Journal C;2024-05-03