Gauge invariants and correlators in flavoured quiver gauge theories
In this paper we study the construction of holomorphic gauge invariant operators for general quiver gauge theories with flavour symmetries. Using a characterisation of the gauge invariants in terms of equivalence classes generated by permutation actions, along with representation theory results in s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-10-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321316302516 |
| _version_ | 1811339060508098560 |
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| author | Paolo Mattioli Sanjaye Ramgoolam |
| author_facet | Paolo Mattioli Sanjaye Ramgoolam |
| author_sort | Paolo Mattioli |
| collection | DOAJ |
| description | In this paper we study the construction of holomorphic gauge invariant operators for general quiver gauge theories with flavour symmetries. Using a characterisation of the gauge invariants in terms of equivalence classes generated by permutation actions, along with representation theory results in symmetric groups and unitary groups, we give a diagonal basis for the 2-point functions of holomorphic and anti-holomorphic operators. This involves a generalisation of the previously constructed Quiver Restricted Schur operators to the flavoured case. The 3-point functions are derived and shown to be given in terms of networks of symmetric group branching coefficients. The networks are constructed through cutting and gluing operations on the quivers. |
| first_indexed | 2024-04-13T18:20:28Z |
| format | Article |
| id | doaj.art-36613dc7b30144df8fbc42b133edc58a |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-04-13T18:20:28Z |
| publishDate | 2016-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-36613dc7b30144df8fbc42b133edc58a2022-12-22T02:35:28ZengElsevierNuclear Physics B0550-32131873-15622016-10-01911C63871110.1016/j.nuclphysb.2016.08.021Gauge invariants and correlators in flavoured quiver gauge theoriesPaolo MattioliSanjaye RamgoolamIn this paper we study the construction of holomorphic gauge invariant operators for general quiver gauge theories with flavour symmetries. Using a characterisation of the gauge invariants in terms of equivalence classes generated by permutation actions, along with representation theory results in symmetric groups and unitary groups, we give a diagonal basis for the 2-point functions of holomorphic and anti-holomorphic operators. This involves a generalisation of the previously constructed Quiver Restricted Schur operators to the flavoured case. The 3-point functions are derived and shown to be given in terms of networks of symmetric group branching coefficients. The networks are constructed through cutting and gluing operations on the quivers.http://www.sciencedirect.com/science/article/pii/S0550321316302516 |
| spellingShingle | Paolo Mattioli Sanjaye Ramgoolam Gauge invariants and correlators in flavoured quiver gauge theories Nuclear Physics B |
| title | Gauge invariants and correlators in flavoured quiver gauge theories |
| title_full | Gauge invariants and correlators in flavoured quiver gauge theories |
| title_fullStr | Gauge invariants and correlators in flavoured quiver gauge theories |
| title_full_unstemmed | Gauge invariants and correlators in flavoured quiver gauge theories |
| title_short | Gauge invariants and correlators in flavoured quiver gauge theories |
| title_sort | gauge invariants and correlators in flavoured quiver gauge theories |
| url | http://www.sciencedirect.com/science/article/pii/S0550321316302516 |
| work_keys_str_mv | AT paolomattioli gaugeinvariantsandcorrelatorsinflavouredquivergaugetheories AT sanjayeramgoolam gaugeinvariantsandcorrelatorsinflavouredquivergaugetheories |