Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
Abstract We describe the effect of the marginal deformation of the N $$ \mathcal{N} $$ = (4, 4) super-conformal (T 4) N /S N orbifold theory on a doublet of R-neutral twisted Ramond fields, in the large-N approximation. Our analysis of their dynamics explores the explicit analytic form of the genus-...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)211 |
| _version_ | 1819128016756801536 |
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| author | A. A. Lima G. M. Sotkov M. Stanishkov |
| author_facet | A. A. Lima G. M. Sotkov M. Stanishkov |
| author_sort | A. A. Lima |
| collection | DOAJ |
| description | Abstract We describe the effect of the marginal deformation of the N $$ \mathcal{N} $$ = (4, 4) super-conformal (T 4) N /S N orbifold theory on a doublet of R-neutral twisted Ramond fields, in the large-N approximation. Our analysis of their dynamics explores the explicit analytic form of the genus-zero four-point function involving two R-neutral Ramond fields and two deformation operators. We compute this correlation function with two different approaches: the Lunin-Mathur path-integral technique and the stress-tensor method. From its short distance limits, we extract the OPE structure constants and the scaling dimensions of non-BPS fields appearing in the fusion. In the deformed CFT, at second order in the deformation parameter, the two-point function of the n-twisted Ramond fields is UV-divergent. We perform an appropriate regularization, together with a renormalization of the undeformed fields, obtaining finite, well-defined corrections to their two-point functions and their bare conformal weights, for n < N. The fields with maximal twist n = N remain protected from renormalization, with vanishing anomalous dimensions. |
| first_indexed | 2024-12-22T08:21:07Z |
| format | Article |
| id | doaj.art-9fa265cbf7ec43e0993526cf649c6ac2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T08:21:07Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9fa265cbf7ec43e0993526cf649c6ac22022-12-21T18:32:45ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021713010.1007/JHEP07(2021)211Dynamics of R-neutral Ramond fields in the D1-D5 SCFTA. A. Lima0G. M. Sotkov1M. Stanishkov2Department of Physics, Federal University of Espírito SantoDepartment of Physics, Federal University of Espírito SantoInstitute for Nuclear Research and Nuclear Energy, Bulgarian Academy of SciencesAbstract We describe the effect of the marginal deformation of the N $$ \mathcal{N} $$ = (4, 4) super-conformal (T 4) N /S N orbifold theory on a doublet of R-neutral twisted Ramond fields, in the large-N approximation. Our analysis of their dynamics explores the explicit analytic form of the genus-zero four-point function involving two R-neutral Ramond fields and two deformation operators. We compute this correlation function with two different approaches: the Lunin-Mathur path-integral technique and the stress-tensor method. From its short distance limits, we extract the OPE structure constants and the scaling dimensions of non-BPS fields appearing in the fusion. In the deformed CFT, at second order in the deformation parameter, the two-point function of the n-twisted Ramond fields is UV-divergent. We perform an appropriate regularization, together with a renormalization of the undeformed fields, obtaining finite, well-defined corrections to their two-point functions and their bare conformal weights, for n < N. The fields with maximal twist n = N remain protected from renormalization, with vanishing anomalous dimensions.https://doi.org/10.1007/JHEP07(2021)211Conformal Field TheoryConformal Field Models in String Theory |
| spellingShingle | A. A. Lima G. M. Sotkov M. Stanishkov Dynamics of R-neutral Ramond fields in the D1-D5 SCFT Journal of High Energy Physics Conformal Field Theory Conformal Field Models in String Theory |
| title | Dynamics of R-neutral Ramond fields in the D1-D5 SCFT |
| title_full | Dynamics of R-neutral Ramond fields in the D1-D5 SCFT |
| title_fullStr | Dynamics of R-neutral Ramond fields in the D1-D5 SCFT |
| title_full_unstemmed | Dynamics of R-neutral Ramond fields in the D1-D5 SCFT |
| title_short | Dynamics of R-neutral Ramond fields in the D1-D5 SCFT |
| title_sort | dynamics of r neutral ramond fields in the d1 d5 scft |
| topic | Conformal Field Theory Conformal Field Models in String Theory |
| url | https://doi.org/10.1007/JHEP07(2021)211 |
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