Open superstring first mass level effective Lagrangian: Massive spin-2 in an electromagnetic background

Minimal coupling leads to problems such as loss of causality if one wants to describe charged particles of spin greater than one propagating in a constant electromagnetic background. Regge trajectories in string theory contain such states, so their study may allow us to investigate possible avenues...

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Main Authors: Karim Benakli, Cassiano A. Daniel, Wenqi Ke
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026932300014X
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author Karim Benakli
Cassiano A. Daniel
Wenqi Ke
author_facet Karim Benakli
Cassiano A. Daniel
Wenqi Ke
author_sort Karim Benakli
collection DOAJ
description Minimal coupling leads to problems such as loss of causality if one wants to describe charged particles of spin greater than one propagating in a constant electromagnetic background. Regge trajectories in string theory contain such states, so their study may allow us to investigate possible avenues to remedy the pathologies. We present here two explicit forms, related by field redefinitions, of the Lagrangian describing the bosonic states in the first massive level of open superstrings in four dimensions. The first one reduces, when the electromagnetic field is set to zero, to the Fierz-Pauli Lagrangian for the spin-2 mode. The second one is a more compact form which simplifies the derivation of a Fierz-Pauli system of equations of motion and constraints.
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spelling doaj.art-23833cd3fa594202bd876efc110451bb2023-02-16T04:17:32ZengElsevierPhysics Letters B0370-26932023-03-01838137680Open superstring first mass level effective Lagrangian: Massive spin-2 in an electromagnetic backgroundKarim Benakli0Cassiano A. Daniel1Wenqi Ke2Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHE, F-75005 Paris, FranceICTP South American Institute for Fundamental Research, Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, 01140-070, São Paulo - SP, BrazilSorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHE, F-75005 Paris, FranceMinimal coupling leads to problems such as loss of causality if one wants to describe charged particles of spin greater than one propagating in a constant electromagnetic background. Regge trajectories in string theory contain such states, so their study may allow us to investigate possible avenues to remedy the pathologies. We present here two explicit forms, related by field redefinitions, of the Lagrangian describing the bosonic states in the first massive level of open superstrings in four dimensions. The first one reduces, when the electromagnetic field is set to zero, to the Fierz-Pauli Lagrangian for the spin-2 mode. The second one is a more compact form which simplifies the derivation of a Fierz-Pauli system of equations of motion and constraints.http://www.sciencedirect.com/science/article/pii/S037026932300014X
spellingShingle Karim Benakli
Cassiano A. Daniel
Wenqi Ke
Open superstring first mass level effective Lagrangian: Massive spin-2 in an electromagnetic background
Physics Letters B
title Open superstring first mass level effective Lagrangian: Massive spin-2 in an electromagnetic background
title_full Open superstring first mass level effective Lagrangian: Massive spin-2 in an electromagnetic background
title_fullStr Open superstring first mass level effective Lagrangian: Massive spin-2 in an electromagnetic background
title_full_unstemmed Open superstring first mass level effective Lagrangian: Massive spin-2 in an electromagnetic background
title_short Open superstring first mass level effective Lagrangian: Massive spin-2 in an electromagnetic background
title_sort open superstring first mass level effective lagrangian massive spin 2 in an electromagnetic background
url http://www.sciencedirect.com/science/article/pii/S037026932300014X
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