Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics
Joint Authors
Toppan, Francesco
Valenzuela, Mauricio
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The dynamical symmetries of 1+1-dimensional Matrix Partial Differential Equations with a Calogero potential (with/without the presence of an extra oscillatorial de Alfaro-Fubini-Furlan, DFF, term) are investigated.
The first-order invariant differential operators induce several invariant algebras and superalgebras.
Besides the sl(2)⊕u(1) invariance of the Calogero Conformal Mechanics, an osp2∣2 invariant superalgebra, realized by first-order and second-order differential operators, is obtained.
The invariant algebras with an infinite tower of generators are given by the universal enveloping algebra of the deformed Heisenberg algebra, which is shown to be equivalent to a deformed version of the Schrödinger algebra.
This vector space also gives rise to a higher-spin (gravity) superalgebra.
We furthermore prove that the pure and DFF Matrix Calogero PDEs possess isomorphic dynamical symmetries, being related by a similarity transformation and a redefinition of the time variable.
American Psychological Association (APA)
Toppan, Francesco& Valenzuela, Mauricio. 2018. Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1119215
Modern Language Association (MLA)
Toppan, Francesco& Valenzuela, Mauricio. Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics. Advances in Mathematical Physics No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1119215
American Medical Association (AMA)
Toppan, Francesco& Valenzuela, Mauricio. Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1119215
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119215