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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.14456 |
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| _version_ | 1866915271671808000 |
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| author | Giacomelli, Simone Hwang, Chiung Marino, Fabio Pasquetti, Sara Sacchi, Matteo |
| author_facet | Giacomelli, Simone Hwang, Chiung Marino, Fabio Pasquetti, Sara Sacchi, Matteo |
| contents | We continue our analysis of bad theories, focusing on quiver theories with bad unitary and special unitary gauge groups in three dimensions. By extending the dualization algorithm we prove that the partition function of bad linear quivers can be written as a distribution, given by a sum of terms involving a product of delta functions times the partition function of a good quiver theory. We describe in detail the good quiver theories appearing in the partition function of the bad theory and discuss the brane interpretation of our result. We also discuss in detail the lift of these theories to 4d quivers with symplectic gauge groups, in which our results can be recovered by studying the Higgsing triggered by the expectation value for certain chiral operators. The paper is accompanied by a Mathematica file which implements the algorithm for an arbitrary unitary bad linear quiver. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14456 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probing bad theories with the dualization algorithm II Giacomelli, Simone Hwang, Chiung Marino, Fabio Pasquetti, Sara Sacchi, Matteo High Energy Physics - Theory We continue our analysis of bad theories, focusing on quiver theories with bad unitary and special unitary gauge groups in three dimensions. By extending the dualization algorithm we prove that the partition function of bad linear quivers can be written as a distribution, given by a sum of terms involving a product of delta functions times the partition function of a good quiver theory. We describe in detail the good quiver theories appearing in the partition function of the bad theory and discuss the brane interpretation of our result. We also discuss in detail the lift of these theories to 4d quivers with symplectic gauge groups, in which our results can be recovered by studying the Higgsing triggered by the expectation value for certain chiral operators. The paper is accompanied by a Mathematica file which implements the algorithm for an arbitrary unitary bad linear quiver. |
| title | Probing bad theories with the dualization algorithm II |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.14456 |