Evidence for an algebra of G2 instantons
In this short note, we present some evidence towards the existence of an algebra of BPS G2 instantons. These are instantonic configurations that govern the partition functions of 7d SYM theories on local G2 holonomy manifolds X. To shed light on such structure, we begin investigating the relation wi...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2022
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| _version_ | 1826308691668762624 |
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| author | Del Zotto, M Oh, J Zhou, Y |
| author_facet | Del Zotto, M Oh, J Zhou, Y |
| author_sort | Del Zotto, M |
| collection | OXFORD |
| description | In this short note, we present some evidence towards the existence of an algebra of BPS G2 instantons. These are instantonic configurations that govern the partition functions of 7d SYM theories on local G2 holonomy manifolds X. To shed light on such structure, we begin investigating the relation with parent 4d N = 1 theories obtained by geometric engineering M-theory on X. The main point of this paper is to substantiate the following dream: the holomorphic sector of such theories on multi-centered Taub-NUT spaces gives rise to an algebra whose characters organise the G2 instanton partition function. As a first step towards this program we argue by string duality that a multitude of geometries X exist that are dual to well-known 4d SCFTs arising from D3 branes probes of CY cones: all these models are amenable to an analysis along the lines suggested by Dijkgraaf, Gukov, Neitzke and Vafa in the context of topological M-theory. Moreover, we discuss an interesting relation to Costello’s twisted M-theory, which arises at local patches, and is a key ingredient in identifying the relevant algebras. |
| first_indexed | 2024-03-07T07:23:08Z |
| format | Journal article |
| id | oxford-uuid:9d1d22be-c182-4e9b-9722-c5afc36eda5c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:23:08Z |
| publishDate | 2022 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:9d1d22be-c182-4e9b-9722-c5afc36eda5c2022-10-28T14:28:42ZEvidence for an algebra of G2 instantonsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9d1d22be-c182-4e9b-9722-c5afc36eda5cEnglishSymplectic ElementsSpringer2022Del Zotto, MOh, JZhou, YIn this short note, we present some evidence towards the existence of an algebra of BPS G2 instantons. These are instantonic configurations that govern the partition functions of 7d SYM theories on local G2 holonomy manifolds X. To shed light on such structure, we begin investigating the relation with parent 4d N = 1 theories obtained by geometric engineering M-theory on X. The main point of this paper is to substantiate the following dream: the holomorphic sector of such theories on multi-centered Taub-NUT spaces gives rise to an algebra whose characters organise the G2 instanton partition function. As a first step towards this program we argue by string duality that a multitude of geometries X exist that are dual to well-known 4d SCFTs arising from D3 branes probes of CY cones: all these models are amenable to an analysis along the lines suggested by Dijkgraaf, Gukov, Neitzke and Vafa in the context of topological M-theory. Moreover, we discuss an interesting relation to Costello’s twisted M-theory, which arises at local patches, and is a key ingredient in identifying the relevant algebras. |
| spellingShingle | Del Zotto, M Oh, J Zhou, Y Evidence for an algebra of G2 instantons |
| title | Evidence for an algebra of G2 instantons |
| title_full | Evidence for an algebra of G2 instantons |
| title_fullStr | Evidence for an algebra of G2 instantons |
| title_full_unstemmed | Evidence for an algebra of G2 instantons |
| title_short | Evidence for an algebra of G2 instantons |
| title_sort | evidence for an algebra of g2 instantons |
| work_keys_str_mv | AT delzottom evidenceforanalgebraofg2instantons AT ohj evidenceforanalgebraofg2instantons AT zhouy evidenceforanalgebraofg2instantons |