Twisted 6d (2, 0) SCFTs on a circle
Abstract We study twisted circle compactification of 6d (2, 0) SCFTs to 5d N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories with non-simply-laced gauge groups. We provide two complementary approaches towards the BPS partition functions, reflecting the 5d and 6d point of view respectively. The f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)179 |
| _version_ | 1818657946764050432 |
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| author | Zhihao Duan Kimyeong Lee June Nahmgoong Xin Wang |
| author_facet | Zhihao Duan Kimyeong Lee June Nahmgoong Xin Wang |
| author_sort | Zhihao Duan |
| collection | DOAJ |
| description | Abstract We study twisted circle compactification of 6d (2, 0) SCFTs to 5d N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories with non-simply-laced gauge groups. We provide two complementary approaches towards the BPS partition functions, reflecting the 5d and 6d point of view respectively. The first is based on the blowup equations for the instanton partition function, from which in particular we determine explicitly the one-instanton contribution for all simple Lie groups. The second is based on the modular bootstrap program, and we propose a novel modular ansatz for the twisted elliptic genera that transform under the congruence subgroups Γ0(N) of SL(2, ℤ). We conjecture a vanishing bound for the refined Gopakumar-Vafa invariants of the genus one fibered Calabi-Yau threefolds, upon which one can determine the twisted elliptic genera recursively. We use our results to obtain the 6d Cardy formulas and find universal behaviour for all simple Lie groups. In addition, the Cardy formulas remain invariant under the twist once the normalization of the compact circle is taken into account. |
| first_indexed | 2024-12-17T03:49:34Z |
| format | Article |
| id | doaj.art-b9790c3901c843a09f06827a2135448d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T03:49:34Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b9790c3901c843a09f06827a2135448d2022-12-21T22:04:47ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021717110.1007/JHEP07(2021)179Twisted 6d (2, 0) SCFTs on a circleZhihao Duan0Kimyeong Lee1June Nahmgoong2Xin Wang3School of Physics, Korea Institute for Advanced StudySchool of Physics, Korea Institute for Advanced StudySchool of Physics, Korea Institute for Advanced StudyQuantum Universe Center, Korea Institute for Advanced StudyAbstract We study twisted circle compactification of 6d (2, 0) SCFTs to 5d N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories with non-simply-laced gauge groups. We provide two complementary approaches towards the BPS partition functions, reflecting the 5d and 6d point of view respectively. The first is based on the blowup equations for the instanton partition function, from which in particular we determine explicitly the one-instanton contribution for all simple Lie groups. The second is based on the modular bootstrap program, and we propose a novel modular ansatz for the twisted elliptic genera that transform under the congruence subgroups Γ0(N) of SL(2, ℤ). We conjecture a vanishing bound for the refined Gopakumar-Vafa invariants of the genus one fibered Calabi-Yau threefolds, upon which one can determine the twisted elliptic genera recursively. We use our results to obtain the 6d Cardy formulas and find universal behaviour for all simple Lie groups. In addition, the Cardy formulas remain invariant under the twist once the normalization of the compact circle is taken into account.https://doi.org/10.1007/JHEP07(2021)179Field Theories in Higher DimensionsSupersymmetric Gauge TheoryBrane Dynamics in Gauge TheoriesF-Theory |
| spellingShingle | Zhihao Duan Kimyeong Lee June Nahmgoong Xin Wang Twisted 6d (2, 0) SCFTs on a circle Journal of High Energy Physics Field Theories in Higher Dimensions Supersymmetric Gauge Theory Brane Dynamics in Gauge Theories F-Theory |
| title | Twisted 6d (2, 0) SCFTs on a circle |
| title_full | Twisted 6d (2, 0) SCFTs on a circle |
| title_fullStr | Twisted 6d (2, 0) SCFTs on a circle |
| title_full_unstemmed | Twisted 6d (2, 0) SCFTs on a circle |
| title_short | Twisted 6d (2, 0) SCFTs on a circle |
| title_sort | twisted 6d 2 0 scfts on a circle |
| topic | Field Theories in Higher Dimensions Supersymmetric Gauge Theory Brane Dynamics in Gauge Theories F-Theory |
| url | https://doi.org/10.1007/JHEP07(2021)179 |
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