Topological data analysis for the string landscape
Abstract Persistent homology computes the multiscale topology of a data set by using a sequence of discrete complexes. In this paper, we propose that persistent homology may be a useful tool for studying the structure of the landscape of string vacua. As a scaled-down version of the program, we use...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2019)054 |
| _version_ | 1828861669799886848 |
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| author | Alex Cole Gary Shiu |
| author_facet | Alex Cole Gary Shiu |
| author_sort | Alex Cole |
| collection | DOAJ |
| description | Abstract Persistent homology computes the multiscale topology of a data set by using a sequence of discrete complexes. In this paper, we propose that persistent homology may be a useful tool for studying the structure of the landscape of string vacua. As a scaled-down version of the program, we use persistent homology to characterize distributions of Type IIB flux vacua on moduli space for three examples: the rigid Calabi-Yau, a hypersurface in weighted projective space, and the symmetric six-torus T 6 = (T 2)3. These examples suggest that persistence pairing and multiparameter persistence contain useful information for characterization of the landscape in addition to the usual information contained in standard persistent homology. We also study how restricting to special vacua with phenomenologically interesting low-energy properties affects the topology of a distribution. |
| first_indexed | 2024-12-13T03:07:46Z |
| format | Article |
| id | doaj.art-37db7c15cad54d6cb700ad206ad0b4b9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T03:07:46Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-37db7c15cad54d6cb700ad206ad0b4b92022-12-22T00:01:41ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019313110.1007/JHEP03(2019)054Topological data analysis for the string landscapeAlex Cole0Gary Shiu1Department of Physics, University of WisconsinDepartment of Physics, University of WisconsinAbstract Persistent homology computes the multiscale topology of a data set by using a sequence of discrete complexes. In this paper, we propose that persistent homology may be a useful tool for studying the structure of the landscape of string vacua. As a scaled-down version of the program, we use persistent homology to characterize distributions of Type IIB flux vacua on moduli space for three examples: the rigid Calabi-Yau, a hypersurface in weighted projective space, and the symmetric six-torus T 6 = (T 2)3. These examples suggest that persistence pairing and multiparameter persistence contain useful information for characterization of the landscape in addition to the usual information contained in standard persistent homology. We also study how restricting to special vacua with phenomenologically interesting low-energy properties affects the topology of a distribution.http://link.springer.com/article/10.1007/JHEP03(2019)054Superstring VacuaFlux compactifications |
| spellingShingle | Alex Cole Gary Shiu Topological data analysis for the string landscape Journal of High Energy Physics Superstring Vacua Flux compactifications |
| title | Topological data analysis for the string landscape |
| title_full | Topological data analysis for the string landscape |
| title_fullStr | Topological data analysis for the string landscape |
| title_full_unstemmed | Topological data analysis for the string landscape |
| title_short | Topological data analysis for the string landscape |
| title_sort | topological data analysis for the string landscape |
| topic | Superstring Vacua Flux compactifications |
| url | http://link.springer.com/article/10.1007/JHEP03(2019)054 |
| work_keys_str_mv | AT alexcole topologicaldataanalysisforthestringlandscape AT garyshiu topologicaldataanalysisforthestringlandscape |