Aspects of 5d Seiberg-Witten theories on S 1 $$ {\mathbbm{S}}^1 $$
Abstract We study the infrared physics of 5d N $$ \mathcal{N} $$ = 1 Yang-Mills theories compactified on S 1 $$ {\mathbbm{S}}^1 $$ , with a view toward 4d and 5d limits. Global structures of the simplest Coulombic moduli spaces are outlined, with an emphasis on how multiple planar 4d Seiberg-Witten...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2022)125 |
| _version_ | 1819277247148720128 |
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| author | Qiang Jia Piljin Yi |
| author_facet | Qiang Jia Piljin Yi |
| author_sort | Qiang Jia |
| collection | DOAJ |
| description | Abstract We study the infrared physics of 5d N $$ \mathcal{N} $$ = 1 Yang-Mills theories compactified on S 1 $$ {\mathbbm{S}}^1 $$ , with a view toward 4d and 5d limits. Global structures of the simplest Coulombic moduli spaces are outlined, with an emphasis on how multiple planar 4d Seiberg-Witten geometries are embedded in the cigar geometry of a single 5d theory on S 1 $$ {\mathbbm{S}}^1 $$ . The Coulomb phase boundaries in the decompactification limit are given particular attention and related to how the wall-crossings by 5d BPS particles turn off. On the other hand, the elliptic genera of magnetic BPS strings do wall-cross and retain the memory of 4d wall-crossings, which we review with the example of dP2 theory. Along the way, we also offer a general field theory proof of the odd shift of electric charge on Sp(k)π instanton solitons, previously observed via geometric engineering for low-rank supersymmetric theories. |
| first_indexed | 2024-12-23T23:53:05Z |
| format | Article |
| id | doaj.art-cade8d694408430992c6ffd3d197e725 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T23:53:05Z |
| publishDate | 2022-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-cade8d694408430992c6ffd3d197e7252022-12-21T17:25:20ZengSpringerOpenJournal of High Energy Physics1029-84792022-02-012022215910.1007/JHEP02(2022)125Aspects of 5d Seiberg-Witten theories on S 1 $$ {\mathbbm{S}}^1 $$Qiang Jia0Piljin Yi1School of Physics, Korea Institute for Advanced StudySchool of Physics, Korea Institute for Advanced StudyAbstract We study the infrared physics of 5d N $$ \mathcal{N} $$ = 1 Yang-Mills theories compactified on S 1 $$ {\mathbbm{S}}^1 $$ , with a view toward 4d and 5d limits. Global structures of the simplest Coulombic moduli spaces are outlined, with an emphasis on how multiple planar 4d Seiberg-Witten geometries are embedded in the cigar geometry of a single 5d theory on S 1 $$ {\mathbbm{S}}^1 $$ . The Coulomb phase boundaries in the decompactification limit are given particular attention and related to how the wall-crossings by 5d BPS particles turn off. On the other hand, the elliptic genera of magnetic BPS strings do wall-cross and retain the memory of 4d wall-crossings, which we review with the example of dP2 theory. Along the way, we also offer a general field theory proof of the odd shift of electric charge on Sp(k)π instanton solitons, previously observed via geometric engineering for low-rank supersymmetric theories.https://doi.org/10.1007/JHEP02(2022)125Field Theories in Higher DimensionsSupersymmetric Gauge TheoryM-TheorySolitons Monopoles and Instantons |
| spellingShingle | Qiang Jia Piljin Yi Aspects of 5d Seiberg-Witten theories on S 1 $$ {\mathbbm{S}}^1 $$ Journal of High Energy Physics Field Theories in Higher Dimensions Supersymmetric Gauge Theory M-Theory Solitons Monopoles and Instantons |
| title | Aspects of 5d Seiberg-Witten theories on S 1 $$ {\mathbbm{S}}^1 $$ |
| title_full | Aspects of 5d Seiberg-Witten theories on S 1 $$ {\mathbbm{S}}^1 $$ |
| title_fullStr | Aspects of 5d Seiberg-Witten theories on S 1 $$ {\mathbbm{S}}^1 $$ |
| title_full_unstemmed | Aspects of 5d Seiberg-Witten theories on S 1 $$ {\mathbbm{S}}^1 $$ |
| title_short | Aspects of 5d Seiberg-Witten theories on S 1 $$ {\mathbbm{S}}^1 $$ |
| title_sort | aspects of 5d seiberg witten theories on s 1 mathbbm s 1 |
| topic | Field Theories in Higher Dimensions Supersymmetric Gauge Theory M-Theory Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP02(2022)125 |
| work_keys_str_mv | AT qiangjia aspectsof5dseibergwittentheoriesons1mathbbms1 AT piljinyi aspectsof5dseibergwittentheoriesons1mathbbms1 |