A string theory which isn’t about strings

Abstract Quantization of closed string proceeds with a suitable choice of worldsheet vacuum. A priori, the vacuum may be chosen independently for left-moving and right-moving sectors. We construct ab initio quantized bosonic string theory with left-right asymmetric worldsheet vacuum and explore its...

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Main Authors: Kanghoon Lee, Soo-Jong Rey, J. A. Rosabal
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2017)172
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author Kanghoon Lee
Soo-Jong Rey
J. A. Rosabal
author_facet Kanghoon Lee
Soo-Jong Rey
J. A. Rosabal
author_sort Kanghoon Lee
collection DOAJ
description Abstract Quantization of closed string proceeds with a suitable choice of worldsheet vacuum. A priori, the vacuum may be chosen independently for left-moving and right-moving sectors. We construct ab initio quantized bosonic string theory with left-right asymmetric worldsheet vacuum and explore its consequences and implications. We critically examine the validity of new vacuum and carry out first-quantization using standard operator formalism. Remarkably, the string spectrum consists only of a finite number of degrees of freedom: string gravity (massless spin-two, Kalb-Ramond and dilaton fields) and two massive spin-two Fierz-Pauli fields. The massive spin-two fields have negative norm, opposite mass-squared, and provides a Lee-Wick type extension of string gravity. We compute two physical observables: tree-level scattering amplitudes and one-loop cosmological constant. Scattering amplitude of four dilatons is shown to be a rational function of kinematic invariants, and in D = 26 factorizes into contributions of massless spin-two and a pair of massive spin-two fields. The string one loop partition function is shown to perfectly agree with one loop Feynman diagram of string gravity and two massive spin-two fields. In particular, it does not exhibit modular invariance. We critically compare our construction with recent studies and contrast differences.
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spelling doaj.art-b6f4cadf2eb04e059752393f060695e72022-12-22T03:34:48ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171114310.1007/JHEP11(2017)172A string theory which isn’t about stringsKanghoon Lee0Soo-Jong Rey1J. A. Rosabal2Fields, Gravity & Strings, CTPU, Institute for Basic ScienceSchool of Physics & Astronomy and Center for Theoretical Physics, Seoul National UniversityFields, Gravity & Strings, CTPU, Institute for Basic ScienceAbstract Quantization of closed string proceeds with a suitable choice of worldsheet vacuum. A priori, the vacuum may be chosen independently for left-moving and right-moving sectors. We construct ab initio quantized bosonic string theory with left-right asymmetric worldsheet vacuum and explore its consequences and implications. We critically examine the validity of new vacuum and carry out first-quantization using standard operator formalism. Remarkably, the string spectrum consists only of a finite number of degrees of freedom: string gravity (massless spin-two, Kalb-Ramond and dilaton fields) and two massive spin-two Fierz-Pauli fields. The massive spin-two fields have negative norm, opposite mass-squared, and provides a Lee-Wick type extension of string gravity. We compute two physical observables: tree-level scattering amplitudes and one-loop cosmological constant. Scattering amplitude of four dilatons is shown to be a rational function of kinematic invariants, and in D = 26 factorizes into contributions of massless spin-two and a pair of massive spin-two fields. The string one loop partition function is shown to perfectly agree with one loop Feynman diagram of string gravity and two massive spin-two fields. In particular, it does not exhibit modular invariance. We critically compare our construction with recent studies and contrast differences.http://link.springer.com/article/10.1007/JHEP11(2017)172Bosonic StringsConformal Field Models in String Theory
spellingShingle Kanghoon Lee
Soo-Jong Rey
J. A. Rosabal
A string theory which isn’t about strings
Journal of High Energy Physics
Bosonic Strings
Conformal Field Models in String Theory
title A string theory which isn’t about strings
title_full A string theory which isn’t about strings
title_fullStr A string theory which isn’t about strings
title_full_unstemmed A string theory which isn’t about strings
title_short A string theory which isn’t about strings
title_sort string theory which isn t about strings
topic Bosonic Strings
Conformal Field Models in String Theory
url http://link.springer.com/article/10.1007/JHEP11(2017)172
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