Correlators of the symmetric product orbifold
Abstract We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large N limit. This yields a new method to derive correlation functions in these orbifold CFTs that is purely based on the symmetry algebra. W...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2020)108 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832586130043699200 |
|---|---|
| author | Andrea Dei Lorenz Eberhardt |
| author_facet | Andrea Dei Lorenz Eberhardt |
| author_sort | Andrea Dei |
| collection | DOAJ |
| description | Abstract We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large N limit. This yields a new method to derive correlation functions in these orbifold CFTs that is purely based on the symmetry algebra. We explore various generalisations, such as subleading (torus) contributions or correlation functions of other fields than the bare twist fields. We comment on the consequences of our computation for the AdS3/CFT2 correspondence. |
| format | Article |
| id | doaj-art-6812a8aeb93e40aea545e2f020dfdaf7 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-6812a8aeb93e40aea545e2f020dfdaf72025-01-26T12:11:32ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114710.1007/JHEP01(2020)108Correlators of the symmetric product orbifoldAndrea Dei0Lorenz Eberhardt1Institut für Theoretische Physik, ETH ZurichSchool of Natural Sciences, Institute for Advanced StudyAbstract We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large N limit. This yields a new method to derive correlation functions in these orbifold CFTs that is purely based on the symmetry algebra. We explore various generalisations, such as subleading (torus) contributions or correlation functions of other fields than the bare twist fields. We comment on the consequences of our computation for the AdS3/CFT2 correspondence.https://doi.org/10.1007/JHEP01(2020)108Conformal and W SymmetryConformal Field TheoryAdS-CFT CorrespondenceGauge-gravity correspondence |
| spellingShingle | Andrea Dei Lorenz Eberhardt Correlators of the symmetric product orbifold Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory AdS-CFT Correspondence Gauge-gravity correspondence |
| title | Correlators of the symmetric product orbifold |
| title_full | Correlators of the symmetric product orbifold |
| title_fullStr | Correlators of the symmetric product orbifold |
| title_full_unstemmed | Correlators of the symmetric product orbifold |
| title_short | Correlators of the symmetric product orbifold |
| title_sort | correlators of the symmetric product orbifold |
| topic | Conformal and W Symmetry Conformal Field Theory AdS-CFT Correspondence Gauge-gravity correspondence |
| url | https://doi.org/10.1007/JHEP01(2020)108 |
| work_keys_str_mv | AT andreadei correlatorsofthesymmetricproductorbifold AT lorenzeberhardt correlatorsofthesymmetricproductorbifold |