Back to heterotic strings on ALE spaces. Part I. Instantons, 2-groups and T-duality
A bstract In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E 8 × E 8 five-branes probing ALE singularities, building on and extending previous results on the subject by Aspinwall and Morrison as well as Blum and Intriligator....
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| Published in | The journal of high energy physics Vol. 2023; no. 1; pp. 176 - 38 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
31.01.2023
Springer Nature B.V SpringerOpen |
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| Online Access | Get full text |
| ISSN | 1029-8479 1126-6708 1029-8479 |
| DOI | 10.1007/JHEP01(2023)176 |
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| Abstract | A
bstract
In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic
E
8
×
E
8
five-branes probing ALE singularities, building on and extending previous results on the subject by Aspinwall and Morrison as well as Blum and Intriligator. Our focus are the cases corresponding to choices of non-trivial flat connections at infinity. The latter are in particular interesting for the exceptional ALE singularities, where a brane realization in Type I′ is lacking. Our approach to determine these models is based on 6d conformal matter: we determine these theories as generalized 6d quivers. All these LSTs have a higher-one form symmetry which forms a 2-group with the zero-form Poincaré symmetry, the R-symmetry and the other global symmetries: the matching of the R-symmetry two-group structure constant is a stringent constraint for T-dualities, which we use in combination with the matching of 5d Coulomb branches and flavor symmetries upon circle reduction, as a consistency check for the realization of the 6d LSTs we propose. |
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| AbstractList | In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic
E
8
×
E
8
five-branes probing ALE singularities, building on and extending previous results on the subject by Aspinwall and Morrison as well as Blum and Intriligator. Our focus are the cases corresponding to choices of non-trivial flat connections at infinity. The latter are in particular interesting for the exceptional ALE singularities, where a brane realization in Type I′ is lacking. Our approach to determine these models is based on 6d conformal matter: we determine these theories as generalized 6d quivers. All these LSTs have a higher-one form symmetry which forms a 2-group with the zero-form Poincaré symmetry, the R-symmetry and the other global symmetries: the matching of the R-symmetry two-group structure constant is a stringent constraint for T-dualities, which we use in combination with the matching of 5d Coulomb branches and flavor symmetries upon circle reduction, as a consistency check for the realization of the 6d LSTs we propose. In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E8 × E8 five-branes probing ALE singularities, building on and extending previous results on the subject by Aspinwall and Morrison as well as Blum and Intriligator. Our focus are the cases corresponding to choices of non-trivial flat connections at infinity. The latter are in particular interesting for the exceptional ALE singularities, where a brane realization in Type I′ is lacking. Our approach to determine these models is based on 6d conformal matter: we determine these theories as generalized 6d quivers. All these LSTs have a higher-one form symmetry which forms a 2-group with the zero-form Poincaré symmetry, the R-symmetry and the other global symmetries: the matching of the R-symmetry two-group structure constant is a stringent constraint for T-dualities, which we use in combination with the matching of 5d Coulomb branches and flavor symmetries upon circle reduction, as a consistency check for the realization of the 6d LSTs we propose. In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E 8 × E 8 five-branes probing ALE singularities, building on and extending previous results on the subject by Aspinwall and Morrison as well as Blum and Intriligator. Our focus are the cases corresponding to choices of non-trivial flat connections at infinity. The latter are in particular interesting for the exceptional ALE singularities, where a brane realization in Type I′ is lacking. Our approach to determine these models is based on 6d conformal matter: we determine these theories as generalized 6d quivers. All these LSTs have a higher-one form symmetry which forms a 2-group with the zero-form Poincaré symmetry, the R-symmetry and the other global symmetries: the matching of the R-symmetry two-group structure constant is a stringent constraint for T-dualities, which we use in combination with the matching of 5d Coulomb branches and flavor symmetries upon circle reduction, as a consistency check for the realization of the 6d LSTs we propose. Abstract In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E 8 × E 8 five-branes probing ALE singularities, building on and extending previous results on the subject by Aspinwall and Morrison as well as Blum and Intriligator. Our focus are the cases corresponding to choices of non-trivial flat connections at infinity. The latter are in particular interesting for the exceptional ALE singularities, where a brane realization in Type I′ is lacking. Our approach to determine these models is based on 6d conformal matter: we determine these theories as generalized 6d quivers. All these LSTs have a higher-one form symmetry which forms a 2-group with the zero-form Poincaré symmetry, the R-symmetry and the other global symmetries: the matching of the R-symmetry two-group structure constant is a stringent constraint for T-dualities, which we use in combination with the matching of 5d Coulomb branches and flavor symmetries upon circle reduction, as a consistency check for the realization of the 6d LSTs we propose. A bstract In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E 8 × E 8 five-branes probing ALE singularities, building on and extending previous results on the subject by Aspinwall and Morrison as well as Blum and Intriligator. Our focus are the cases corresponding to choices of non-trivial flat connections at infinity. The latter are in particular interesting for the exceptional ALE singularities, where a brane realization in Type I′ is lacking. Our approach to determine these models is based on 6d conformal matter: we determine these theories as generalized 6d quivers. All these LSTs have a higher-one form symmetry which forms a 2-group with the zero-form Poincaré symmetry, the R-symmetry and the other global symmetries: the matching of the R-symmetry two-group structure constant is a stringent constraint for T-dualities, which we use in combination with the matching of 5d Coulomb branches and flavor symmetries upon circle reduction, as a consistency check for the realization of the 6d LSTs we propose. |
| ArticleNumber | 176 |
| Author | Oehlmann, Paul-Konstantin Del Zotto, Michele Liu, Muyang |
| Author_xml | – sequence: 1 givenname: Michele surname: Del Zotto fullname: Del Zotto, Michele organization: Department of Mathematics, Uppsala University, Department of Physics and Astronomy, Uppsala University – sequence: 2 givenname: Muyang surname: Liu fullname: Liu, Muyang organization: Department of Mathematics, Uppsala University – sequence: 3 givenname: Paul-Konstantin surname: Oehlmann fullname: Oehlmann, Paul-Konstantin email: p.oehlmann@northeastern.edu organization: Department of Physics, Northeastern University |
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bstract
In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic
E
8
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five-branes... In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E 8 × E 8 five-branes probing ALE... In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E8 × E8 five-branes probing ALE... In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E 8 × E 8 five-branes probing ALE... Abstract In this paper we begin revisiting the little string theories (LSTs) which govern the dynamics of the instantonic heterotic E 8 × E 8 five-branes... |
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| SubjectTerms | Branes Classical and Quantum Gravitation Elementary Particles F-Theory Flavor (particle physics) Global Symmetries High energy physics Instantons M-Theory Matching Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Singularities String Duality String Theory Strings Symmetry |
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| Title | Back to heterotic strings on ALE spaces. Part I. Instantons, 2-groups and T-duality |
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