VOAs and Rank-Two Instanton SCFTs
We analyze the N = 2 superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, para...
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| Veröffentlicht in: | Communications in mathematical physics 2020-08, Vol.377 (3), p.2553-2578 |
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| container_issue | 3 |
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| container_title | Communications in mathematical physics |
| container_volume | 377 |
| creator | Beem, Christopher Meneghelli, Carlo Peelaers, Wolfger Rastelli, Leonardo |
| description | We analyze the
N
=
2
superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group. We further present free field realizations for these algebras in the style of recent work by three of the authors. These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. We find fourth-order linear modular differential equations for the vacuum characters/Schur indices of these theories, which are again uniform across the full family of theories and parameterized by the dual Coxeter number. We comment briefly on expectations for the still higher-rank cases. |
| doi_str_mv | 10.1007/s00220-020-03746-9 |
| format | Article |
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N
=
2
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N
=
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superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group. We further present free field realizations for these algebras in the style of recent work by three of the authors. These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. We find fourth-order linear modular differential equations for the vacuum characters/Schur indices of these theories, which are again uniform across the full family of theories and parameterized by the dual Coxeter number. We comment briefly on expectations for the still higher-rank cases.</description><subject>Algebra</subject><subject>Branes</subject><subject>Classical and Quantum Gravitation</subject><subject>Complex Systems</subject><subject>Differential equations</subject><subject>Instantons</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical Physics</subject><subject>Operators (mathematics)</subject><subject>Parameterization</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>Singularity (mathematics)</subject><subject>Theoretical</subject><issn>0010-3616</issn><issn>1432-0916</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNp9kE9LxDAUxIMouK5-AU8Vz9GXP31pjktx14WFBa1eQ9om4qrpmnQRv70tFbx5GOYyM4_3I-SSwQ0DULcJgHOgMEooiVQfkRmTglPQDI_JDIABFcjwlJyltAMAzRFn5Op5u0iZDW32YMMbrb66bB1Sb0PfheyxXFbpnJx4-57cxa_PydPyrirv6Wa7WpeLDW0k5j1VjOkcBC_AKlbL2qMvZJtzrKVslLNeYC5UoX1e65wp3XDnODboPWt9XWgxJ9fT7j52nweXerPrDjEMJw2Xw3OqUAqGFJ9STexSis6bfXz9sPHbMDAjCjOhMDBqRGHGaTGV0hAOLy7-Tf_T-gEWXF2v</recordid><startdate>20200801</startdate><enddate>20200801</enddate><creator>Beem, Christopher</creator><creator>Meneghelli, Carlo</creator><creator>Peelaers, Wolfger</creator><creator>Rastelli, Leonardo</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20200801</creationdate><title>VOAs and Rank-Two Instanton SCFTs</title><author>Beem, Christopher ; Meneghelli, Carlo ; Peelaers, Wolfger ; Rastelli, Leonardo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c465t-7119503280a71b4bf6f84d526b44c7eaf3653789f5b95179c2ee26c6ff1dfb893</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algebra</topic><topic>Branes</topic><topic>Classical and Quantum Gravitation</topic><topic>Complex Systems</topic><topic>Differential equations</topic><topic>Instantons</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Physics</topic><topic>Operators (mathematics)</topic><topic>Parameterization</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>Singularity (mathematics)</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Beem, Christopher</creatorcontrib><creatorcontrib>Meneghelli, Carlo</creatorcontrib><creatorcontrib>Peelaers, Wolfger</creatorcontrib><creatorcontrib>Rastelli, Leonardo</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><jtitle>Communications in mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Beem, Christopher</au><au>Meneghelli, Carlo</au><au>Peelaers, Wolfger</au><au>Rastelli, Leonardo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>VOAs and Rank-Two Instanton SCFTs</atitle><jtitle>Communications in mathematical physics</jtitle><stitle>Commun. Math. Phys</stitle><date>2020-08-01</date><risdate>2020</risdate><volume>377</volume><issue>3</issue><spage>2553</spage><epage>2578</epage><pages>2553-2578</pages><issn>0010-3616</issn><eissn>1432-0916</eissn><abstract>We analyze the
N
=
2
superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group. We further present free field realizations for these algebras in the style of recent work by three of the authors. These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. We find fourth-order linear modular differential equations for the vacuum characters/Schur indices of these theories, which are again uniform across the full family of theories and parameterized by the dual Coxeter number. We comment briefly on expectations for the still higher-rank cases.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00220-020-03746-9</doi><tpages>26</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Algebra Branes Classical and Quantum Gravitation Complex Systems Differential equations Instantons Mathematical and Computational Physics Mathematical Physics Operators (mathematics) Parameterization Physics Physics and Astronomy Quantum Physics Relativity Theory Singularity (mathematics) Theoretical |
| title | VOAs and Rank-Two Instanton SCFTs |
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