The c = 1 string theory S-matrix revisited

Abstract We revisit the perturbative S-matrix of c = 1 string theory from the worldsheet perspective. We clarify the origin of the leg pole factors, the non-analyticity of the string amplitudes, and the validity as well as limitations of earlier computations based on resonance momenta. We compute th...

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Main Authors: Bruno Balthazar, Victor A. Rodriguez, Xi Yin
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2019)145
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author Bruno Balthazar
Victor A. Rodriguez
Xi Yin
author_facet Bruno Balthazar
Victor A. Rodriguez
Xi Yin
author_sort Bruno Balthazar
collection DOAJ
description Abstract We revisit the perturbative S-matrix of c = 1 string theory from the worldsheet perspective. We clarify the origin of the leg pole factors, the non-analyticity of the string amplitudes, and the validity as well as limitations of earlier computations based on resonance momenta. We compute the tree level 4-point amplitude and the genus one 2-point reflection amplitude by numerically integrating Virasoro conformal blocks with DOZZ structure constants on the sphere and on the torus, with sufficiently generic complex Liouville momenta, and find agreement with known answers from the c = 1 matrix model.
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spelling doaj.art-d21caf8afbba43c2b5094a6d76b941ea2022-12-21T19:40:44ZengSpringerOpenJournal of High Energy Physics1029-84792019-04-012019412810.1007/JHEP04(2019)145The c = 1 string theory S-matrix revisitedBruno Balthazar0Victor A. Rodriguez1Xi Yin2Jefferson Physical Laboratory, Harvard UniversityJefferson Physical Laboratory, Harvard UniversityJefferson Physical Laboratory, Harvard UniversityAbstract We revisit the perturbative S-matrix of c = 1 string theory from the worldsheet perspective. We clarify the origin of the leg pole factors, the non-analyticity of the string amplitudes, and the validity as well as limitations of earlier computations based on resonance momenta. We compute the tree level 4-point amplitude and the genus one 2-point reflection amplitude by numerically integrating Virasoro conformal blocks with DOZZ structure constants on the sphere and on the torus, with sufficiently generic complex Liouville momenta, and find agreement with known answers from the c = 1 matrix model.http://link.springer.com/article/10.1007/JHEP04(2019)145Bosonic StringsM(atrix) TheoriesMatrix ModelsString Duality
spellingShingle Bruno Balthazar
Victor A. Rodriguez
Xi Yin
The c = 1 string theory S-matrix revisited
Journal of High Energy Physics
Bosonic Strings
M(atrix) Theories
Matrix Models
String Duality
title The c = 1 string theory S-matrix revisited
title_full The c = 1 string theory S-matrix revisited
title_fullStr The c = 1 string theory S-matrix revisited
title_full_unstemmed The c = 1 string theory S-matrix revisited
title_short The c = 1 string theory S-matrix revisited
title_sort c 1 string theory s matrix revisited
topic Bosonic Strings
M(atrix) Theories
Matrix Models
String Duality
url http://link.springer.com/article/10.1007/JHEP04(2019)145
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