Comments on the S N orbifold CFT in the large N-limit
Abstract We elaborate on various aspects of the conformal field theory of the symmetric orbifold. We collect various results that have appeared in the literature, and we present a coherent picture of the operator content of this CFT, relying on the orbifold extension of the Virasoro algebra. We then...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2018)038 |
| _version_ | 1818621784471109632 |
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| author | Konstantinos Roumpedakis |
| author_facet | Konstantinos Roumpedakis |
| author_sort | Konstantinos Roumpedakis |
| collection | DOAJ |
| description | Abstract We elaborate on various aspects of the conformal field theory of the symmetric orbifold. We collect various results that have appeared in the literature, and we present a coherent picture of the operator content of this CFT, relying on the orbifold extension of the Virasoro algebra. We then focus on the large N-limit of this theory, discuss the OPE of two twist operators, and find various selection rules. We review how to calculate four-point functions of twist operators, and we write down the most general four-point function in the covering space for large N.We show that it depends on some functions that obey a set of algebraic equations, that resemble the scattering equations. Finally, we provide a recipe on how to calculate correlation functions with insertions of the orbifold Virasoro generators. |
| first_indexed | 2024-12-16T18:14:47Z |
| format | Article |
| id | doaj.art-46073479718b4bf4a9d1e01636215611 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T18:14:47Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-46073479718b4bf4a9d1e016362156112022-12-21T22:21:40ZengSpringerOpenJournal of High Energy Physics1029-84792018-07-012018712210.1007/JHEP07(2018)038Comments on the S N orbifold CFT in the large N-limitKonstantinos Roumpedakis0C.N. Yang Institute for Theoretical Physics, Stony Brook UniversityAbstract We elaborate on various aspects of the conformal field theory of the symmetric orbifold. We collect various results that have appeared in the literature, and we present a coherent picture of the operator content of this CFT, relying on the orbifold extension of the Virasoro algebra. We then focus on the large N-limit of this theory, discuss the OPE of two twist operators, and find various selection rules. We review how to calculate four-point functions of twist operators, and we write down the most general four-point function in the covering space for large N.We show that it depends on some functions that obey a set of algebraic equations, that resemble the scattering equations. Finally, we provide a recipe on how to calculate correlation functions with insertions of the orbifold Virasoro generators.http://link.springer.com/article/10.1007/JHEP07(2018)038Conformal and W SymmetryConformal Field TheoryField Theories in Lower Dimensions |
| spellingShingle | Konstantinos Roumpedakis Comments on the S N orbifold CFT in the large N-limit Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory Field Theories in Lower Dimensions |
| title | Comments on the S N orbifold CFT in the large N-limit |
| title_full | Comments on the S N orbifold CFT in the large N-limit |
| title_fullStr | Comments on the S N orbifold CFT in the large N-limit |
| title_full_unstemmed | Comments on the S N orbifold CFT in the large N-limit |
| title_short | Comments on the S N orbifold CFT in the large N-limit |
| title_sort | comments on the s n orbifold cft in the large n limit |
| topic | Conformal and W Symmetry Conformal Field Theory Field Theories in Lower Dimensions |
| url | http://link.springer.com/article/10.1007/JHEP07(2018)038 |
| work_keys_str_mv | AT konstantinosroumpedakis commentsonthesnorbifoldcftinthelargenlimit |