Analytic periods via twisted symmetric squares
Abstract We study the symmetric square of Picard-Fuchs operators of genus one curves and the thereby induced generalized Clausen identities. This allows the computation of analytic expressions for the periods of all one-parameter K3 manifolds in terms of elliptic integrals. The resulting expressions...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)024 |
| _version_ | 1828303741415063552 |
|---|---|
| author | Rafael Álvarez-García Lorenz Schlechter |
| author_facet | Rafael Álvarez-García Lorenz Schlechter |
| author_sort | Rafael Álvarez-García |
| collection | DOAJ |
| description | Abstract We study the symmetric square of Picard-Fuchs operators of genus one curves and the thereby induced generalized Clausen identities. This allows the computation of analytic expressions for the periods of all one-parameter K3 manifolds in terms of elliptic integrals. The resulting expressions are globally valid throughout the moduli space and allow the explicit inversion of the mirror map and the exact computation of distances, useful for checks of the Swampland Distance Conjecture. We comment on the generalization to multi-parameter models and provide a two-parameter example. |
| first_indexed | 2024-04-13T13:59:59Z |
| format | Article |
| id | doaj.art-84c153ef65c84b80aadab2ab665d889b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T13:59:59Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-84c153ef65c84b80aadab2ab665d889b2022-12-22T02:44:05ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022713110.1007/JHEP07(2022)024Analytic periods via twisted symmetric squaresRafael Álvarez-García0Lorenz Schlechter1II. Institut für Theoretische Physik, Universität HamburgInstitute for Theoretical Physics, Utrecht UniversityAbstract We study the symmetric square of Picard-Fuchs operators of genus one curves and the thereby induced generalized Clausen identities. This allows the computation of analytic expressions for the periods of all one-parameter K3 manifolds in terms of elliptic integrals. The resulting expressions are globally valid throughout the moduli space and allow the explicit inversion of the mirror map and the exact computation of distances, useful for checks of the Swampland Distance Conjecture. We comment on the generalization to multi-parameter models and provide a two-parameter example.https://doi.org/10.1007/JHEP07(2022)024String and Brane PhenomenologyDifferential and Algebraic Geometry |
| spellingShingle | Rafael Álvarez-García Lorenz Schlechter Analytic periods via twisted symmetric squares Journal of High Energy Physics String and Brane Phenomenology Differential and Algebraic Geometry |
| title | Analytic periods via twisted symmetric squares |
| title_full | Analytic periods via twisted symmetric squares |
| title_fullStr | Analytic periods via twisted symmetric squares |
| title_full_unstemmed | Analytic periods via twisted symmetric squares |
| title_short | Analytic periods via twisted symmetric squares |
| title_sort | analytic periods via twisted symmetric squares |
| topic | String and Brane Phenomenology Differential and Algebraic Geometry |
| url | https://doi.org/10.1007/JHEP07(2022)024 |
| work_keys_str_mv | AT rafaelalvarezgarcia analyticperiodsviatwistedsymmetricsquares AT lorenzschlechter analyticperiodsviatwistedsymmetricsquares |