G $$ \mathcal{G} $$ -structure symmetries and anomalies in (1, 0) non-linear σ-models
Abstract A new symmetry of (1, 0) supersymmetric non-linear σ-models in two dimensions with Fermi and mass sectors is introduced. It is a generalisation of the so-called special holonomy W-symmetry of Howe and Papadopoulos associated with structure group reductions of the target space ℳ $$ \mathrm{\...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)062 |
| _version_ | 1818508247965892608 |
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| author | Xenia de la Ossa Marc-Antoine Fiset |
| author_facet | Xenia de la Ossa Marc-Antoine Fiset |
| author_sort | Xenia de la Ossa |
| collection | DOAJ |
| description | Abstract A new symmetry of (1, 0) supersymmetric non-linear σ-models in two dimensions with Fermi and mass sectors is introduced. It is a generalisation of the so-called special holonomy W-symmetry of Howe and Papadopoulos associated with structure group reductions of the target space ℳ $$ \mathrm{\mathcal{M}} $$ . Our symmetry allows in particular non-trivial flux and instanton-like connections on vector bundles over ℳ $$ \mathrm{\mathcal{M}} $$ . We also investigate potential anomalies and show that cohomologically non-trivial terms in the quantum effective action are invariant under a corrected version of our symmetry. Consistency with heterotic supergravity at first order in α′ is manifest and discussed. |
| first_indexed | 2024-12-10T22:29:02Z |
| format | Article |
| id | doaj.art-564e4e9abdca44c088804a15e393cdc3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T22:29:02Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-564e4e9abdca44c088804a15e393cdc32022-12-22T01:31:06ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019112910.1007/JHEP01(2019)062G $$ \mathcal{G} $$ -structure symmetries and anomalies in (1, 0) non-linear σ-modelsXenia de la Ossa0Marc-Antoine Fiset1Mathematical Institute, University of OxfordMathematical Institute, University of OxfordAbstract A new symmetry of (1, 0) supersymmetric non-linear σ-models in two dimensions with Fermi and mass sectors is introduced. It is a generalisation of the so-called special holonomy W-symmetry of Howe and Papadopoulos associated with structure group reductions of the target space ℳ $$ \mathrm{\mathcal{M}} $$ . Our symmetry allows in particular non-trivial flux and instanton-like connections on vector bundles over ℳ $$ \mathrm{\mathcal{M}} $$ . We also investigate potential anomalies and show that cohomologically non-trivial terms in the quantum effective action are invariant under a corrected version of our symmetry. Consistency with heterotic supergravity at first order in α′ is manifest and discussed.http://link.springer.com/article/10.1007/JHEP01(2019)062Anomalies in Field and String TheoriesConformal and W SymmetrySigma ModelsSuperstrings and Heterotic Strings |
| spellingShingle | Xenia de la Ossa Marc-Antoine Fiset G $$ \mathcal{G} $$ -structure symmetries and anomalies in (1, 0) non-linear σ-models Journal of High Energy Physics Anomalies in Field and String Theories Conformal and W Symmetry Sigma Models Superstrings and Heterotic Strings |
| title | G $$ \mathcal{G} $$ -structure symmetries and anomalies in (1, 0) non-linear σ-models |
| title_full | G $$ \mathcal{G} $$ -structure symmetries and anomalies in (1, 0) non-linear σ-models |
| title_fullStr | G $$ \mathcal{G} $$ -structure symmetries and anomalies in (1, 0) non-linear σ-models |
| title_full_unstemmed | G $$ \mathcal{G} $$ -structure symmetries and anomalies in (1, 0) non-linear σ-models |
| title_short | G $$ \mathcal{G} $$ -structure symmetries and anomalies in (1, 0) non-linear σ-models |
| title_sort | g mathcal g structure symmetries and anomalies in 1 0 non linear σ models |
| topic | Anomalies in Field and String Theories Conformal and W Symmetry Sigma Models Superstrings and Heterotic Strings |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)062 |
| work_keys_str_mv | AT xeniadelaossa gmathcalgstructuresymmetriesandanomaliesin10nonlinearsmodels AT marcantoinefiset gmathcalgstructuresymmetriesandanomaliesin10nonlinearsmodels |