Dualities from dualities: the sequential deconfinement technique
A bstract It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In...
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| Vydáno v: | The journal of high energy physics Ročník 2022; číslo 5; s. 69 - 59 |
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11.05.2022
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| ISSN: | 1029-8479, 1029-8479 |
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| Abstract | A
bstract
It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In this paper we continue this line of investigation focusing on theories with tensor matter. In such cases one can apply the idea of deconfinement, which consists of trading the tensor matter for extra gauge nodes by means of a suitable elementary duality. This gives an auxiliary dual frame which can then be manipulated with further dualizations, in an iterative procedure eventually yielding an interesting dual description of the original theory. The sequential deconfinement technique has avatars in different areas of mathematical physics, such as the study of hypergeometric and elliptic hypergeometric integral identities or of 2
d
free field correlators. We discuss various examples in the context 4
d
N
= 1 supersymmetric theories, which are related to elliptic hypergeometric integrals. These include a new self-duality involving a quiver theory which exhibits a non-trivial global symmetry enhancement to
E
6
. |
|---|---|
| AbstractList | It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In this paper we continue this line of investigation focusing on theories with tensor matter. In such cases one can apply the idea of deconfinement, which consists of trading the tensor matter for extra gauge nodes by means of a suitable elementary duality. This gives an auxiliary dual frame which can then be manipulated with further dualizations, in an iterative procedure eventually yielding an interesting dual description of the original theory. The sequential deconfinement technique has avatars in different areas of mathematical physics, such as the study of hypergeometric and elliptic hypergeometric integral identities or of 2d free field correlators. We discuss various examples in the context 4dN = 1 supersymmetric theories, which are related to elliptic hypergeometric integrals. These include a new self-duality involving a quiver theory which exhibits a non-trivial global symmetry enhancement to E6. A bstract It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In this paper we continue this line of investigation focusing on theories with tensor matter. In such cases one can apply the idea of deconfinement, which consists of trading the tensor matter for extra gauge nodes by means of a suitable elementary duality. This gives an auxiliary dual frame which can then be manipulated with further dualizations, in an iterative procedure eventually yielding an interesting dual description of the original theory. The sequential deconfinement technique has avatars in different areas of mathematical physics, such as the study of hypergeometric and elliptic hypergeometric integral identities or of 2 d free field correlators. We discuss various examples in the context 4 d N = 1 supersymmetric theories, which are related to elliptic hypergeometric integrals. These include a new self-duality involving a quiver theory which exhibits a non-trivial global symmetry enhancement to E 6 . It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In this paper we continue this line of investigation focusing on theories with tensor matter. In such cases one can apply the idea of deconfinement, which consists of trading the tensor matter for extra gauge nodes by means of a suitable elementary duality. This gives an auxiliary dual frame which can then be manipulated with further dualizations, in an iterative procedure eventually yielding an interesting dual description of the original theory. The sequential deconfinement technique has avatars in different areas of mathematical physics, such as the study of hypergeometric and elliptic hypergeometric integral identities or of 2 d free field correlators. We discuss various examples in the context 4 d $$ \mathcal{N} $$ N = 1 supersymmetric theories, which are related to elliptic hypergeometric integrals. These include a new self-duality involving a quiver theory which exhibits a non-trivial global symmetry enhancement to E 6 . Abstract It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In this paper we continue this line of investigation focusing on theories with tensor matter. In such cases one can apply the idea of deconfinement, which consists of trading the tensor matter for extra gauge nodes by means of a suitable elementary duality. This gives an auxiliary dual frame which can then be manipulated with further dualizations, in an iterative procedure eventually yielding an interesting dual description of the original theory. The sequential deconfinement technique has avatars in different areas of mathematical physics, such as the study of hypergeometric and elliptic hypergeometric integral identities or of 2d free field correlators. We discuss various examples in the context 4d N $$ \mathcal{N} $$ = 1 supersymmetric theories, which are related to elliptic hypergeometric integrals. These include a new self-duality involving a quiver theory which exhibits a non-trivial global symmetry enhancement to E 6. |
| ArticleNumber | 69 |
| Author | Bottini, Lea E. Pasquetti, Sara Sacchi, Matteo Hwang, Chiung |
| Author_xml | – sequence: 1 givenname: Lea E. surname: Bottini fullname: Bottini, Lea E. organization: Mathematical Institute, University of Oxford – sequence: 2 givenname: Chiung surname: Hwang fullname: Hwang, Chiung email: ch911@cam.ac.uk organization: Department of Applied Mathematics and Theoretical Physics, University of Cambridge – sequence: 3 givenname: Sara surname: Pasquetti fullname: Pasquetti, Sara organization: Dipartimento di Fisica, Università di Milano-Bicocca, INFN, sezione di Milano-Bicocca – sequence: 4 givenname: Matteo surname: Sacchi fullname: Sacchi, Matteo organization: Mathematical Institute, University of Oxford |
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bstract
It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary... It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities.... Abstract It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary... |
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| StartPage | 69 |
| SubjectTerms | Avatars Classical and Quantum Gravitation Correlators Duality in Gauge Field Theories Elementary Particles High energy physics Integrals Iterative methods Mathematical analysis Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Quantum theory Regular Article - Theoretical Physics Relativity Theory String Theory Supersymmetric Gauge Theory Supersymmetry and Duality Symmetry Tensors |
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| Title | Dualities from dualities: the sequential deconfinement technique |
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| Volume | 2022 |
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