On the asymptotic states and the quantum S matrix of the η-deformed AdS5 × S5 superstring
Abstract
We investigate the worldsheet S matrix of string theory in η-deformed AdS5 × S5. By computing the six-point tree-level S matrix we explicitly show that there is no particle production at this level, as required by the classical integrability of the theory. At one and two loops we show that integrability requires that the classical two-particle states be redefined in a non-local and η-dependent way. This is a significant departure from the undeformed theory which is probably related to the quantum group symmetry of the worldsheet theory. We use generalized unitarity to carry out the loop calculations and identify a set of integrals that allow us to give a two-loop Feynman integral representation of the logarithmic terms of the two-loop S matrix. We finally also discuss aspects of the calculation of the two-loop rational terms.
- Authors:
-
- Uppsala Univ. (Sweden). Dept. of Physics and Astronomy
- Pennsylvania State Univ., University Park, PA (United States). Dept. of Physics; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
- Publication Date:
- Research Org.:
- Pennsylvania State Univ., University Park, PA (United States); Univ. of California, Santa Barbara, CA (United States); Uppsala Univ. (Sweden)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Knut and Alice Wallenberg Foundation (Sweden)
- OSTI Identifier:
- 1455057
- Grant/Contract Number:
- SC0008745; PHY11-25915; KAW 2013.0235
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 3; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; scattering amplitudes; integrable field theories; sigma models; AdS-CFT correspondence
Citation Formats
Engelund, Oluf Tang, and Roiban, Radu. On the asymptotic states and the quantum S matrix of the η-deformed AdS5 × S5 superstring. United States: N. p., 2015.
Web. doi:10.1007/JHEP03(2015)168.
Engelund, Oluf Tang, & Roiban, Radu. On the asymptotic states and the quantum S matrix of the η-deformed AdS5 × S5 superstring. United States. https://doi.org/10.1007/JHEP03(2015)168
Engelund, Oluf Tang, and Roiban, Radu. Tue .
"On the asymptotic states and the quantum S matrix of the η-deformed AdS5 × S5 superstring". United States. https://doi.org/10.1007/JHEP03(2015)168. https://www.osti.gov/servlets/purl/1455057.
@article{osti_1455057,
title = {On the asymptotic states and the quantum S matrix of the η-deformed AdS5 × S5 superstring},
author = {Engelund, Oluf Tang and Roiban, Radu},
abstractNote = {We investigate the worldsheet S matrix of string theory in η-deformed AdS5 × S5. By computing the six-point tree-level S matrix we explicitly show that there is no particle production at this level, as required by the classical integrability of the theory. At one and two loops we show that integrability requires that the classical two-particle states be redefined in a non-local and η-dependent way. This is a significant departure from the undeformed theory which is probably related to the quantum group symmetry of the worldsheet theory. We use generalized unitarity to carry out the loop calculations and identify a set of integrals that allow us to give a two-loop Feynman integral representation of the logarithmic terms of the two-loop S matrix. We finally also discuss aspects of the calculation of the two-loop rational terms.},
doi = {10.1007/JHEP03(2015)168},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2015,
place = {United States},
year = {Tue Mar 31 00:00:00 EDT 2015},
month = {Tue Mar 31 00:00:00 EDT 2015}
}
Web of Science
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