KLT factorization of nonrelativistic string amplitudes
Abstract We continue our study of the Kawai-Lewellen-Tye (KLT) factorization of winding string amplitudes in [1]. In a toroidal compactification, amplitudes for winding closed string states factorize into products of amplitudes for open strings ending on an array of D-branes localized in the compact...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2022)068 |
| _version_ | 1797865786937704448 |
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| author | Ziqi Yan Matthew Yu |
| author_facet | Ziqi Yan Matthew Yu |
| author_sort | Ziqi Yan |
| collection | DOAJ |
| description | Abstract We continue our study of the Kawai-Lewellen-Tye (KLT) factorization of winding string amplitudes in [1]. In a toroidal compactification, amplitudes for winding closed string states factorize into products of amplitudes for open strings ending on an array of D-branes localized in the compactified directions; the specific D-brane configuration is determined by the closed string data. In this paper, we study a zero Regge slope limit of the KLT relations between winding string amplitudes. Such a limit of string theory requires a critically tuned Kalb-Ramond field in a compact direction, and leads to a self-contained corner called nonrelativistic string theory. This theory is unitary, ultraviolet complete, and its string spectrum and spacetime S-matrix satisfy nonrelativistic symmetry. Moreover, the asymptotic closed string states in nonrelativistic string theory necessarily carry nonzero windings. First, starting with relativistic string theory, we construct a KLT factorization of amplitudes for winding closed strings in the presence of a critical Kalb-Ramond field. Then, in the zero Regge limit, we uncover a KLT relation for amplitudes in nonrelativistic string theory. Finally, we show how such a relation can be reproduced from first principles in a purely nonrelativistic string theory setting. We will also discuss connections to the amplitudes of string theory in the discrete light cone quantization (DLCQ), a method that is relevant for Matrix theory. |
| first_indexed | 2024-04-09T23:13:57Z |
| format | Article |
| id | doaj.art-3c29bf9645a049dea354afa040dee311 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:57Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3c29bf9645a049dea354afa040dee3112023-03-22T10:11:10ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022413510.1007/JHEP04(2022)068KLT factorization of nonrelativistic string amplitudesZiqi Yan0Matthew Yu1Nordita, KTH Royal Institute of Technology and Stockholm UniversityPerimeter Institute for Theoretical PhysicsAbstract We continue our study of the Kawai-Lewellen-Tye (KLT) factorization of winding string amplitudes in [1]. In a toroidal compactification, amplitudes for winding closed string states factorize into products of amplitudes for open strings ending on an array of D-branes localized in the compactified directions; the specific D-brane configuration is determined by the closed string data. In this paper, we study a zero Regge slope limit of the KLT relations between winding string amplitudes. Such a limit of string theory requires a critically tuned Kalb-Ramond field in a compact direction, and leads to a self-contained corner called nonrelativistic string theory. This theory is unitary, ultraviolet complete, and its string spectrum and spacetime S-matrix satisfy nonrelativistic symmetry. Moreover, the asymptotic closed string states in nonrelativistic string theory necessarily carry nonzero windings. First, starting with relativistic string theory, we construct a KLT factorization of amplitudes for winding closed strings in the presence of a critical Kalb-Ramond field. Then, in the zero Regge limit, we uncover a KLT relation for amplitudes in nonrelativistic string theory. Finally, we show how such a relation can be reproduced from first principles in a purely nonrelativistic string theory setting. We will also discuss connections to the amplitudes of string theory in the discrete light cone quantization (DLCQ), a method that is relevant for Matrix theory.https://doi.org/10.1007/JHEP04(2022)068Bosonic StringsD-BranesScattering AmplitudesSigma Models |
| spellingShingle | Ziqi Yan Matthew Yu KLT factorization of nonrelativistic string amplitudes Journal of High Energy Physics Bosonic Strings D-Branes Scattering Amplitudes Sigma Models |
| title | KLT factorization of nonrelativistic string amplitudes |
| title_full | KLT factorization of nonrelativistic string amplitudes |
| title_fullStr | KLT factorization of nonrelativistic string amplitudes |
| title_full_unstemmed | KLT factorization of nonrelativistic string amplitudes |
| title_short | KLT factorization of nonrelativistic string amplitudes |
| title_sort | klt factorization of nonrelativistic string amplitudes |
| topic | Bosonic Strings D-Branes Scattering Amplitudes Sigma Models |
| url | https://doi.org/10.1007/JHEP04(2022)068 |
| work_keys_str_mv | AT ziqiyan kltfactorizationofnonrelativisticstringamplitudes AT matthewyu kltfactorizationofnonrelativisticstringamplitudes |