Singular Geometry and Higgs Bundles in String Theory
This brief survey aims to set the stage and summarize some of the ideas under discussion at the Workshop on Singular Geometry and Higgs Bundles in String Theory, to be held at the American Institute of Mathematics from October 30th to November 3rd, 2017. One of the most interesting aspects of the du...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2018 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209535 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Singular Geometry and Higgs Bundles in String Theory / L.B. Anderson, M. Esole, L. Fredrickson, L.P. Schaposnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 180 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862625689915621376 |
|---|---|
| author | Anderson, L.B. Esole, M. Fredrickson, L. Schaposnik, L.P. |
| author_facet | Anderson, L.B. Esole, M. Fredrickson, L. Schaposnik, L.P. |
| citation_txt | Singular Geometry and Higgs Bundles in String Theory / L.B. Anderson, M. Esole, L. Fredrickson, L.P. Schaposnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 180 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This brief survey aims to set the stage and summarize some of the ideas under discussion at the Workshop on Singular Geometry and Higgs Bundles in String Theory, to be held at the American Institute of Mathematics from October 30th to November 3rd, 2017. One of the most interesting aspects of the duality revolution in string theory is the understanding that gauge fields and matter representations can be described by the intersection of branes. Since gauge theory is at the heart of our description of physical interactions, it has opened the door to the geometric engineering of many physical systems, and in particular those involving Higgs bundles. This note presents a curated overview of some current advances and open problems in the area, with no intention of being a complete review of the whole subject.
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| first_indexed | 2025-12-07T13:35:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209535 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:35:08Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Anderson, L.B. Esole, M. Fredrickson, L. Schaposnik, L.P. 2025-11-24T10:45:29Z 2018 Singular Geometry and Higgs Bundles in String Theory / L.B. Anderson, M. Esole, L. Fredrickson, L.P. Schaposnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 180 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14D20; 14D21; 53C07; 14H70; 14P25 arXiv: 1710.08453 https://nasplib.isofts.kiev.ua/handle/123456789/209535 https://doi.org/10.3842/SIGMA.2018.037 This brief survey aims to set the stage and summarize some of the ideas under discussion at the Workshop on Singular Geometry and Higgs Bundles in String Theory, to be held at the American Institute of Mathematics from October 30th to November 3rd, 2017. One of the most interesting aspects of the duality revolution in string theory is the understanding that gauge fields and matter representations can be described by the intersection of branes. Since gauge theory is at the heart of our description of physical interactions, it has opened the door to the geometric engineering of many physical systems, and in particular those involving Higgs bundles. This note presents a curated overview of some current advances and open problems in the area, with no intention of being a complete review of the whole subject. The authors would like to thank the American Institute of Mathematics for the support and hospitality that made the 2017 workshop on Singular Geometry and Higgs Bundles in String Theory possible (and on which this survey of ideas/open questions is based). In addition, we would like to thank Steven Rayan for helpful comments on the manuscript. The work of L.B. Anderson is supported in part by NSF grant PHY-1720321 and is part of the working group activities of the 4-VA initiative “A Synthesis of Two Approaches to String Phenomenology”. M. Esole is supported in part by the National Science Foundation (NSF) grant DMS-1701635 “Elliptic Fibrations and String Theory”. The work of L.P. Schaposnik is partially supported by the NSF grant DMS-1509693 and by the Alexander von Humboldt Foundation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Singular Geometry and Higgs Bundles in String Theory Article published earlier |
| spellingShingle | Singular Geometry and Higgs Bundles in String Theory Anderson, L.B. Esole, M. Fredrickson, L. Schaposnik, L.P. |
| title | Singular Geometry and Higgs Bundles in String Theory |
| title_full | Singular Geometry and Higgs Bundles in String Theory |
| title_fullStr | Singular Geometry and Higgs Bundles in String Theory |
| title_full_unstemmed | Singular Geometry and Higgs Bundles in String Theory |
| title_short | Singular Geometry and Higgs Bundles in String Theory |
| title_sort | singular geometry and higgs bundles in string theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209535 |
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