Mass ladder operators from spacetime conformal symmetry

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Mass ladder operators from spacetime conformal symmetry. / Cardoso, Vitor; Houri, Tsuyoshi; Kimura, Masashi.

In: Physical Review D, Vol. 96, No. 2, 024044, 24.07.2017.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Cardoso, V, Houri, T & Kimura, M 2017, 'Mass ladder operators from spacetime conformal symmetry', Physical Review D, vol. 96, no. 2, 024044. https://doi.org/10.1103/PhysRevD.96.024044

APA

Cardoso, V., Houri, T., & Kimura, M. (2017). Mass ladder operators from spacetime conformal symmetry. Physical Review D, 96(2), [024044]. https://doi.org/10.1103/PhysRevD.96.024044

Vancouver

Cardoso V, Houri T, Kimura M. Mass ladder operators from spacetime conformal symmetry. Physical Review D. 2017 Jul 24;96(2). 024044. https://doi.org/10.1103/PhysRevD.96.024044

Author

Cardoso, Vitor ; Houri, Tsuyoshi ; Kimura, Masashi. / Mass ladder operators from spacetime conformal symmetry. In: Physical Review D. 2017 ; Vol. 96, No. 2.

Bibtex

@article{e28aeeaf19294e33ac4875e6f95760e6,
title = "Mass ladder operators from spacetime conformal symmetry",
abstract = "Ladder operators can be useful constructs, allowing for unique insight and intuition. In fact, they have played a special role in the development of quantum mechanics and field theory. Here, we introduce a novel type of ladder operators, which map a scalar field onto another massive scalar field. We construct such operators, in arbitrary dimensions, from closed conformal Killing vector fields, eigenvectors of the Ricci tensor. As an example, we explicitly construct these objects in anti-de Sitter (AdS) spacetime and show that they exist for masses above the Breitenlohner-Freedman bound. Starting from a regular seed solution of the massive Klein-Gordon equation, mass ladder operators in AdS allow one to build a variety of regular solutions with varying boundary condition at spatial infinity. We also discuss mass ladder operator in the context of spherical harmonics, and the relation between supersymmetric quantum mechanics and so-called Aretakis constants in an extremal black hole.",
author = "Vitor Cardoso and Tsuyoshi Houri and Masashi Kimura",
year = "2017",
month = jul,
day = "24",
doi = "10.1103/PhysRevD.96.024044",
language = "English",
volume = "96",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Mass ladder operators from spacetime conformal symmetry

AU - Cardoso, Vitor

AU - Houri, Tsuyoshi

AU - Kimura, Masashi

PY - 2017/7/24

Y1 - 2017/7/24

N2 - Ladder operators can be useful constructs, allowing for unique insight and intuition. In fact, they have played a special role in the development of quantum mechanics and field theory. Here, we introduce a novel type of ladder operators, which map a scalar field onto another massive scalar field. We construct such operators, in arbitrary dimensions, from closed conformal Killing vector fields, eigenvectors of the Ricci tensor. As an example, we explicitly construct these objects in anti-de Sitter (AdS) spacetime and show that they exist for masses above the Breitenlohner-Freedman bound. Starting from a regular seed solution of the massive Klein-Gordon equation, mass ladder operators in AdS allow one to build a variety of regular solutions with varying boundary condition at spatial infinity. We also discuss mass ladder operator in the context of spherical harmonics, and the relation between supersymmetric quantum mechanics and so-called Aretakis constants in an extremal black hole.

AB - Ladder operators can be useful constructs, allowing for unique insight and intuition. In fact, they have played a special role in the development of quantum mechanics and field theory. Here, we introduce a novel type of ladder operators, which map a scalar field onto another massive scalar field. We construct such operators, in arbitrary dimensions, from closed conformal Killing vector fields, eigenvectors of the Ricci tensor. As an example, we explicitly construct these objects in anti-de Sitter (AdS) spacetime and show that they exist for masses above the Breitenlohner-Freedman bound. Starting from a regular seed solution of the massive Klein-Gordon equation, mass ladder operators in AdS allow one to build a variety of regular solutions with varying boundary condition at spatial infinity. We also discuss mass ladder operator in the context of spherical harmonics, and the relation between supersymmetric quantum mechanics and so-called Aretakis constants in an extremal black hole.

U2 - 10.1103/PhysRevD.96.024044

DO - 10.1103/PhysRevD.96.024044

M3 - Journal article

VL - 96

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 2

M1 - 024044

ER -

ID: 299401171