Peculiar index relations, 2D TQFT, and universality of SUSY enhancement
Abstract We study certain exactly marginal gaugings involving arbitrary numbers of Argyres-Douglas (AD) theories and show that the resulting Schur indices are related to those of certain Lagrangian theories of class S $$ \mathcal{S} $$ via simple transformations. By writing these quantities in the l...
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)187 |
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| author | Matthew Buican Linfeng Li Takahiro Nishinaka |
| author_facet | Matthew Buican Linfeng Li Takahiro Nishinaka |
| author_sort | Matthew Buican |
| collection | DOAJ |
| description | Abstract We study certain exactly marginal gaugings involving arbitrary numbers of Argyres-Douglas (AD) theories and show that the resulting Schur indices are related to those of certain Lagrangian theories of class S $$ \mathcal{S} $$ via simple transformations. By writing these quantities in the language of 2D topological quantum field theory (TQFT), we easily read off the S-duality action on the flavor symmetries of the AD quivers and also find expressions for the Schur indices of various classes of exotic AD theories appearing in different decoupling limits. The TQFT expressions for these latter theories are related by simple transformations to the corresponding quantities for certain well-known isolated theories with regular punctures (e.g., the Minahan-Nemeschansky E6 theory and various generalizations). We then reinterpret the TQFT expressions for the indices of our AD theories in terms of the topology of the corresponding 3D mirror quivers, and we show that our isolated AD theories generically admit renormalization group (RG) flows to interacting superconformal field theories (SCFTs) with thirty-two (Poincaré plus special) supercharges. Motivated by these examples, we argue that, in a sense we make precise, the existence of RG flows to interacting SCFTs with thirty-two supercharges is generic in a far larger class of 4D N $$ \mathcal{N} $$ = 2 SCFTs arising from compactifications of the 6D (2, 0) theory on surfaces with irregular singularities. |
| format | Article |
| id | doaj-art-cb34ae0c32b249cda9499e54abb1c350 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-cb34ae0c32b249cda9499e54abb1c3502025-02-09T12:06:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114710.1007/JHEP01(2020)187Peculiar index relations, 2D TQFT, and universality of SUSY enhancementMatthew Buican0Linfeng Li1Takahiro Nishinaka2CRST and School of Physics and Astronomy, Queen Mary University of LondonCRST and School of Physics and Astronomy, Queen Mary University of LondonDepartment of Physical Sciences, College of Science and Engineering, Ritsumeikan UniversityAbstract We study certain exactly marginal gaugings involving arbitrary numbers of Argyres-Douglas (AD) theories and show that the resulting Schur indices are related to those of certain Lagrangian theories of class S $$ \mathcal{S} $$ via simple transformations. By writing these quantities in the language of 2D topological quantum field theory (TQFT), we easily read off the S-duality action on the flavor symmetries of the AD quivers and also find expressions for the Schur indices of various classes of exotic AD theories appearing in different decoupling limits. The TQFT expressions for these latter theories are related by simple transformations to the corresponding quantities for certain well-known isolated theories with regular punctures (e.g., the Minahan-Nemeschansky E6 theory and various generalizations). We then reinterpret the TQFT expressions for the indices of our AD theories in terms of the topology of the corresponding 3D mirror quivers, and we show that our isolated AD theories generically admit renormalization group (RG) flows to interacting superconformal field theories (SCFTs) with thirty-two (Poincaré plus special) supercharges. Motivated by these examples, we argue that, in a sense we make precise, the existence of RG flows to interacting SCFTs with thirty-two supercharges is generic in a far larger class of 4D N $$ \mathcal{N} $$ = 2 SCFTs arising from compactifications of the 6D (2, 0) theory on surfaces with irregular singularities.https://doi.org/10.1007/JHEP01(2020)187Conformal Field TheoryNonperturbative EffectsRenormalization GroupSupersymmetric Gauge Theory |
| spellingShingle | Matthew Buican Linfeng Li Takahiro Nishinaka Peculiar index relations, 2D TQFT, and universality of SUSY enhancement Journal of High Energy Physics Conformal Field Theory Nonperturbative Effects Renormalization Group Supersymmetric Gauge Theory |
| title | Peculiar index relations, 2D TQFT, and universality of SUSY enhancement |
| title_full | Peculiar index relations, 2D TQFT, and universality of SUSY enhancement |
| title_fullStr | Peculiar index relations, 2D TQFT, and universality of SUSY enhancement |
| title_full_unstemmed | Peculiar index relations, 2D TQFT, and universality of SUSY enhancement |
| title_short | Peculiar index relations, 2D TQFT, and universality of SUSY enhancement |
| title_sort | peculiar index relations 2d tqft and universality of susy enhancement |
| topic | Conformal Field Theory Nonperturbative Effects Renormalization Group Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP01(2020)187 |
| work_keys_str_mv | AT matthewbuican peculiarindexrelations2dtqftanduniversalityofsusyenhancement AT linfengli peculiarindexrelations2dtqftanduniversalityofsusyenhancement AT takahironishinaka peculiarindexrelations2dtqftanduniversalityofsusyenhancement |