One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators
Abstract We derive the masses acquired at one loop by massless scalars in the Neumann-Dirichlet sector of open strings, when supersymmetry is spontaneously broken. It is done by computing two-point functions of “boundary-changing vertex operators” inserted on the boundaries of the annulus and Möbius...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2021)022 |
| _version_ | 1818723587612213248 |
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| author | Thibaut Coudarchet Hervé Partouche |
| author_facet | Thibaut Coudarchet Hervé Partouche |
| author_sort | Thibaut Coudarchet |
| collection | DOAJ |
| description | Abstract We derive the masses acquired at one loop by massless scalars in the Neumann-Dirichlet sector of open strings, when supersymmetry is spontaneously broken. It is done by computing two-point functions of “boundary-changing vertex operators” inserted on the boundaries of the annulus and Möbius strip. This requires the evaluation of correlators of “excited boundary-changing fields,” which are analogous to excited twist fields for closed strings. We work in the type IIB orientifold theory compactified on T 2 × T 4/ℤ2, where N $$ \mathcal{N} $$ = 2 supersymmetry is broken to N $$ \mathcal{N} $$ = 0 by the Scherk-Schwarz mechanism implemented along T 2. Even though the full expression of the squared masses is complicated, it reduces to a very simple form when the lowest scale of the background is the supersymmetry breaking scale M 3/2. We use our results to analyze in this regime the stability at the quantum level of the moduli fields arising in the Neumann-Dirichlet sector. This completes the study of ref. [32], where the quantum masses of all other types of moduli arising in the open- or closed-string sectors are derived. Ultimately, we identify all brane configurations that produce backgrounds without tachyons at one loop and yield an effective potential exponentially suppressed, or strictly positive with runaway behavior of M 3/2. |
| first_indexed | 2024-12-17T21:12:54Z |
| format | Article |
| id | doaj.art-4d5ace4861fb4b3d9712e4eeeec16a30 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T21:12:54Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4d5ace4861fb4b3d9712e4eeeec16a302022-12-21T21:32:24ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211216310.1007/JHEP12(2021)022One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operatorsThibaut Coudarchet0Hervé Partouche1CPHT, CNRS, Ecole Polytechnique, IP ParisCPHT, CNRS, Ecole Polytechnique, IP ParisAbstract We derive the masses acquired at one loop by massless scalars in the Neumann-Dirichlet sector of open strings, when supersymmetry is spontaneously broken. It is done by computing two-point functions of “boundary-changing vertex operators” inserted on the boundaries of the annulus and Möbius strip. This requires the evaluation of correlators of “excited boundary-changing fields,” which are analogous to excited twist fields for closed strings. We work in the type IIB orientifold theory compactified on T 2 × T 4/ℤ2, where N $$ \mathcal{N} $$ = 2 supersymmetry is broken to N $$ \mathcal{N} $$ = 0 by the Scherk-Schwarz mechanism implemented along T 2. Even though the full expression of the squared masses is complicated, it reduces to a very simple form when the lowest scale of the background is the supersymmetry breaking scale M 3/2. We use our results to analyze in this regime the stability at the quantum level of the moduli fields arising in the Neumann-Dirichlet sector. This completes the study of ref. [32], where the quantum masses of all other types of moduli arising in the open- or closed-string sectors are derived. Ultimately, we identify all brane configurations that produce backgrounds without tachyons at one loop and yield an effective potential exponentially suppressed, or strictly positive with runaway behavior of M 3/2.https://doi.org/10.1007/JHEP12(2021)022D-branesSuperstrings and Heterotic StringsSupersymmetry Breaking |
| spellingShingle | Thibaut Coudarchet Hervé Partouche One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators Journal of High Energy Physics D-branes Superstrings and Heterotic Strings Supersymmetry Breaking |
| title | One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators |
| title_full | One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators |
| title_fullStr | One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators |
| title_full_unstemmed | One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators |
| title_short | One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators |
| title_sort | one loop masses of neumann dirichlet open strings and boundary changing vertex operators |
| topic | D-branes Superstrings and Heterotic Strings Supersymmetry Breaking |
| url | https://doi.org/10.1007/JHEP12(2021)022 |
| work_keys_str_mv | AT thibautcoudarchet oneloopmassesofneumanndirichletopenstringsandboundarychangingvertexoperators AT hervepartouche oneloopmassesofneumanndirichletopenstringsandboundarychangingvertexoperators |