Dual little strings from F-theory and flop transitions
Abstract A particular two-parameter class of little string theories can be described by M parallel M5-branes probing a transverse affine A N − 1 singularity. We previously discussed the duality between the theories labelled by (N, M) and (M, N). In this work, we propose that these two are in fact on...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2017)112 |
| _version_ | 1818904273867505664 |
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| author | Stefan Hohenegger Amer Iqbal Soo-Jong Rey |
| author_facet | Stefan Hohenegger Amer Iqbal Soo-Jong Rey |
| author_sort | Stefan Hohenegger |
| collection | DOAJ |
| description | Abstract A particular two-parameter class of little string theories can be described by M parallel M5-branes probing a transverse affine A N − 1 singularity. We previously discussed the duality between the theories labelled by (N, M) and (M, N). In this work, we propose that these two are in fact only part of a larger web of dual theories. We provide evidence that the theories labelled by (N, M) and N M k k $$ \left(\frac{NM}{k},k\right) $$ are dual to each other, where k = gcd(N,M). To argue for this duality, we use a geometric realization of these little string theories in terms of F-theory compactifications on toric, non-compact Calabi-Yau threefolds X N,M which have a double elliptic fibration structure. We show explicitly for a number of examples that X NM/k,k is part of the extended moduli space of X N,M , i.e. the two are related through symmetry transformations and flop transitions. By working out the full duality map, we provide a simple check at the level of the free energy of little string theories. |
| first_indexed | 2024-12-19T21:04:49Z |
| format | Article |
| id | doaj.art-3bab6c0e520b4614906d66b25a3c3745 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T21:04:49Z |
| publishDate | 2017-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3bab6c0e520b4614906d66b25a3c37452022-12-21T20:05:41ZengSpringerOpenJournal of High Energy Physics1029-84792017-07-012017715810.1007/JHEP07(2017)112Dual little strings from F-theory and flop transitionsStefan Hohenegger0Amer Iqbal1Soo-Jong Rey2Fields, Gravity & Strings, CTPU, Institute for Basic SciencesFields, Gravity & Strings, CTPU, Institute for Basic SciencesFields, Gravity & Strings, CTPU, Institute for Basic SciencesAbstract A particular two-parameter class of little string theories can be described by M parallel M5-branes probing a transverse affine A N − 1 singularity. We previously discussed the duality between the theories labelled by (N, M) and (M, N). In this work, we propose that these two are in fact only part of a larger web of dual theories. We provide evidence that the theories labelled by (N, M) and N M k k $$ \left(\frac{NM}{k},k\right) $$ are dual to each other, where k = gcd(N,M). To argue for this duality, we use a geometric realization of these little string theories in terms of F-theory compactifications on toric, non-compact Calabi-Yau threefolds X N,M which have a double elliptic fibration structure. We show explicitly for a number of examples that X NM/k,k is part of the extended moduli space of X N,M , i.e. the two are related through symmetry transformations and flop transitions. By working out the full duality map, we provide a simple check at the level of the free energy of little string theories.http://link.springer.com/article/10.1007/JHEP07(2017)112F-TheoryString DualityTopological Strings |
| spellingShingle | Stefan Hohenegger Amer Iqbal Soo-Jong Rey Dual little strings from F-theory and flop transitions Journal of High Energy Physics F-Theory String Duality Topological Strings |
| title | Dual little strings from F-theory and flop transitions |
| title_full | Dual little strings from F-theory and flop transitions |
| title_fullStr | Dual little strings from F-theory and flop transitions |
| title_full_unstemmed | Dual little strings from F-theory and flop transitions |
| title_short | Dual little strings from F-theory and flop transitions |
| title_sort | dual little strings from f theory and flop transitions |
| topic | F-Theory String Duality Topological Strings |
| url | http://link.springer.com/article/10.1007/JHEP07(2017)112 |
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