Topological defects in K3 sigma models
Abstract We consider the topological defect lines commuting with the spectral flow and the N $$ \mathcal{N} $$ = (4, 4) superconformal symmetry in two dimensional non-linear sigma models on K3. By studying their fusion with boundary states, we derive a number of general results for the category of s...
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SpringerOpen
2024-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2024)111 |
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| author | Roberta Angius Stefano Giaccari Roberto Volpato |
| author_facet | Roberta Angius Stefano Giaccari Roberto Volpato |
| author_sort | Roberta Angius |
| collection | DOAJ |
| description | Abstract We consider the topological defect lines commuting with the spectral flow and the N $$ \mathcal{N} $$ = (4, 4) superconformal symmetry in two dimensional non-linear sigma models on K3. By studying their fusion with boundary states, we derive a number of general results for the category of such defects. We argue that while for certain K3 models infinitely many simple defects, and even a continuum, can occur, at generic points in the moduli space the category is actually trivial, i.e. it is generated by the identity defect. Furthermore, we show that if a K3 model is at the attractor point for some BPS configuration of D-branes, then all topological defects have integral quantum dimension. We also conjecture that a continuum of topological defects arises if and only if the K3 model is a (possibly generalized) orbifold of a torus model. Finally, we test our general results in a couple of examples, where we provide a partial classification of the topological defects. |
| format | Article |
| id | doaj-art-805896bba2ba4447a1fd8d196ba2b8a2 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-805896bba2ba4447a1fd8d196ba2b8a22025-08-20T02:11:18ZengSpringerOpenJournal of High Energy Physics1029-84792024-07-012024718210.1007/JHEP07(2024)111Topological defects in K3 sigma modelsRoberta Angius0Stefano Giaccari1Roberto Volpato2Instituto de Física Teórica IFT-UAM/CSICDipartimento di Fisica e Astronomia ‘Galileo Galilei’, Università di Padova & INFN, sez. di PadovaDipartimento di Fisica e Astronomia ‘Galileo Galilei’, Università di Padova & INFN, sez. di PadovaAbstract We consider the topological defect lines commuting with the spectral flow and the N $$ \mathcal{N} $$ = (4, 4) superconformal symmetry in two dimensional non-linear sigma models on K3. By studying their fusion with boundary states, we derive a number of general results for the category of such defects. We argue that while for certain K3 models infinitely many simple defects, and even a continuum, can occur, at generic points in the moduli space the category is actually trivial, i.e. it is generated by the identity defect. Furthermore, we show that if a K3 model is at the attractor point for some BPS configuration of D-branes, then all topological defects have integral quantum dimension. We also conjecture that a continuum of topological defects arises if and only if the K3 model is a (possibly generalized) orbifold of a torus model. Finally, we test our general results in a couple of examples, where we provide a partial classification of the topological defects.https://doi.org/10.1007/JHEP07(2024)111Conformal Field Models in String TheoryD-BranesDiscrete SymmetriesGlobal Symmetries |
| spellingShingle | Roberta Angius Stefano Giaccari Roberto Volpato Topological defects in K3 sigma models Journal of High Energy Physics Conformal Field Models in String Theory D-Branes Discrete Symmetries Global Symmetries |
| title | Topological defects in K3 sigma models |
| title_full | Topological defects in K3 sigma models |
| title_fullStr | Topological defects in K3 sigma models |
| title_full_unstemmed | Topological defects in K3 sigma models |
| title_short | Topological defects in K3 sigma models |
| title_sort | topological defects in k3 sigma models |
| topic | Conformal Field Models in String Theory D-Branes Discrete Symmetries Global Symmetries |
| url | https://doi.org/10.1007/JHEP07(2024)111 |
| work_keys_str_mv | AT robertaangius topologicaldefectsink3sigmamodels AT stefanogiaccari topologicaldefectsink3sigmamodels AT robertovolpato topologicaldefectsink3sigmamodels |