Supersymmetric soliton σ-models from non-Lorentzian field theories
Abstract Recently, a class of non-Lorentzian supersymmetric Lagrangian field theories was considered, in some cases describing M-theory brane configurations, but more generally found as fixed points of non-Lorentzian RG flows induced upon Lorentzian theories. In this paper, we demonstrate how the dy...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2020)129 |
| _version_ | 1818145599208292352 |
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| author | Rishi Mouland |
| author_facet | Rishi Mouland |
| author_sort | Rishi Mouland |
| collection | DOAJ |
| description | Abstract Recently, a class of non-Lorentzian supersymmetric Lagrangian field theories was considered, in some cases describing M-theory brane configurations, but more generally found as fixed points of non-Lorentzian RG flows induced upon Lorentzian theories. In this paper, we demonstrate how the dynamics of such theories can be reduced to motion on the supersymmetric moduli space of BPS solitons of the parent theory. We focus first on the N $$ \mathcal{N} $$ = (1, 1) σ-model in (1 + 1)-dimensions with potential, where we produce a su persymmetric extension to the standard geodesic approximation for slow kink motion. We then revisit the (4 + 1)-dimensional Yang-Mills-like theory with 24 supercharges describing a null compactification of M5-branes. We show that the theory reduces to a σ-model on instanton moduli space, extended by couplings to additional fields from the parent theory, and possessing (8+8) super(conformal) symmetries along with 8 further fermionic shift symmetries. We derive this model explicitly for the single SU(2) instanton. |
| first_indexed | 2024-12-11T12:06:01Z |
| format | Article |
| id | doaj.art-490a370b76ac4ce5bf6116f59e2dfc39 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T12:06:01Z |
| publishDate | 2020-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-490a370b76ac4ce5bf6116f59e2dfc392022-12-22T01:07:56ZengSpringerOpenJournal of High Energy Physics1029-84792020-04-012020412510.1007/JHEP04(2020)129Supersymmetric soliton σ-models from non-Lorentzian field theoriesRishi Mouland0Department of Mathematics, King’s College LondonAbstract Recently, a class of non-Lorentzian supersymmetric Lagrangian field theories was considered, in some cases describing M-theory brane configurations, but more generally found as fixed points of non-Lorentzian RG flows induced upon Lorentzian theories. In this paper, we demonstrate how the dynamics of such theories can be reduced to motion on the supersymmetric moduli space of BPS solitons of the parent theory. We focus first on the N $$ \mathcal{N} $$ = (1, 1) σ-model in (1 + 1)-dimensions with potential, where we produce a su persymmetric extension to the standard geodesic approximation for slow kink motion. We then revisit the (4 + 1)-dimensional Yang-Mills-like theory with 24 supercharges describing a null compactification of M5-branes. We show that the theory reduces to a σ-model on instanton moduli space, extended by couplings to additional fields from the parent theory, and possessing (8+8) super(conformal) symmetries along with 8 further fermionic shift symmetries. We derive this model explicitly for the single SU(2) instanton.http://link.springer.com/article/10.1007/JHEP04(2020)129M-TheorySigma ModelsSolitons Monopoles and Instantons |
| spellingShingle | Rishi Mouland Supersymmetric soliton σ-models from non-Lorentzian field theories Journal of High Energy Physics M-Theory Sigma Models Solitons Monopoles and Instantons |
| title | Supersymmetric soliton σ-models from non-Lorentzian field theories |
| title_full | Supersymmetric soliton σ-models from non-Lorentzian field theories |
| title_fullStr | Supersymmetric soliton σ-models from non-Lorentzian field theories |
| title_full_unstemmed | Supersymmetric soliton σ-models from non-Lorentzian field theories |
| title_short | Supersymmetric soliton σ-models from non-Lorentzian field theories |
| title_sort | supersymmetric soliton σ models from non lorentzian field theories |
| topic | M-Theory Sigma Models Solitons Monopoles and Instantons |
| url | http://link.springer.com/article/10.1007/JHEP04(2020)129 |
| work_keys_str_mv | AT rishimouland supersymmetricsolitonsmodelsfromnonlorentzianfieldtheories |