RG flows with supersymmetry enhancement and geometric engineering
In this paper we study a class of N = 2 SCFTs with ADE global symmetry defined via Type IIB compactification on a class of hypersurfaces in C3 Xx C*. These can also be constructed by compactifying the 6d (2,0) theory of type ADE on a sphere with an irregular and a full punctures. When we couple to t...
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| Format: | Journal article |
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Springer
2018
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| _version_ | 1826262940008841216 |
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| author | Giacomelli, S |
| author_facet | Giacomelli, S |
| author_sort | Giacomelli, S |
| collection | OXFORD |
| description | In this paper we study a class of N = 2 SCFTs with ADE global symmetry defined via Type IIB compactification on a class of hypersurfaces in C3 Xx C*. These can also be constructed by compactifying the 6d (2,0) theory of type ADE on a sphere with an irregular and a full punctures. When we couple to the ADE moment map a chiral multiplet in the adjoint representation and turn on a (principal) nilpotent vev for it, all the theories in this family display enhancement of supersymmetry in the infrared. We observe that all known examples of theories which flow, upon the same type of deformation, to strongly coupled N = 2 theories fit naturally in our framework, thus providing a new perspective on this topic. We propose an infrared equivalence between this RG flow and a manifestly N = 2 preserving one and, as a byproduct, we extract a precise prescription to relate the SW curves describing the UV and IR fixed points for all theories with A or D global symmetry. We also find, for a certain subclass, a simple relation between UV and IR theories at the level of chiral algebras. |
| first_indexed | 2024-03-06T19:43:46Z |
| format | Journal article |
| id | oxford-uuid:218d5ddd-5ac5-40e7-a287-0c122df48c50 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:43:46Z |
| publishDate | 2018 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:218d5ddd-5ac5-40e7-a287-0c122df48c502022-03-26T11:34:08ZRG flows with supersymmetry enhancement and geometric engineeringJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:218d5ddd-5ac5-40e7-a287-0c122df48c50Symplectic Elements at OxfordSpringer2018Giacomelli, SIn this paper we study a class of N = 2 SCFTs with ADE global symmetry defined via Type IIB compactification on a class of hypersurfaces in C3 Xx C*. These can also be constructed by compactifying the 6d (2,0) theory of type ADE on a sphere with an irregular and a full punctures. When we couple to the ADE moment map a chiral multiplet in the adjoint representation and turn on a (principal) nilpotent vev for it, all the theories in this family display enhancement of supersymmetry in the infrared. We observe that all known examples of theories which flow, upon the same type of deformation, to strongly coupled N = 2 theories fit naturally in our framework, thus providing a new perspective on this topic. We propose an infrared equivalence between this RG flow and a manifestly N = 2 preserving one and, as a byproduct, we extract a precise prescription to relate the SW curves describing the UV and IR fixed points for all theories with A or D global symmetry. We also find, for a certain subclass, a simple relation between UV and IR theories at the level of chiral algebras. |
| spellingShingle | Giacomelli, S RG flows with supersymmetry enhancement and geometric engineering |
| title | RG flows with supersymmetry enhancement and geometric engineering |
| title_full | RG flows with supersymmetry enhancement and geometric engineering |
| title_fullStr | RG flows with supersymmetry enhancement and geometric engineering |
| title_full_unstemmed | RG flows with supersymmetry enhancement and geometric engineering |
| title_short | RG flows with supersymmetry enhancement and geometric engineering |
| title_sort | rg flows with supersymmetry enhancement and geometric engineering |
| work_keys_str_mv | AT giacomellis rgflowswithsupersymmetryenhancementandgeometricengineering |