On the dynamics of protected ramond ground states in the D1-D5 CFT
Abstract We examine the behavior of the Ramond ground states in the D1-D5 CFT after a deformation of the free-orbifold sigma model on target space ( T 4 $$ {\mathbbm{T}}^4 $$ ) N /S N by a marginal interaction operator. These states are compositions of Ramond ground states of the twisted and untwist...
| 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)120 |
| _version_ | 1818455154822742016 |
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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 examine the behavior of the Ramond ground states in the D1-D5 CFT after a deformation of the free-orbifold sigma model on target space ( T 4 $$ {\mathbbm{T}}^4 $$ ) N /S N by a marginal interaction operator. These states are compositions of Ramond ground states of the twisted and untwisted sectors. They are characterized by a conjugacy class of S N and by the set of their “spins”, including both R-charge and “internal” SU(2) charge. We compute the four-point functions of an arbitrary Ramond ground state with its conjugate and two interaction operators, for genus-zero covering surfaces representing the leading orders in the large-N expansion. We examine short distance limits of these four-point functions, shedding light on the dynamics of the interacting theory. We find the OPEs and a collection of structure constants of the ground states with the interaction operators and a set of resulting non-BPS twisted operators. We also calculate the integrals of the four-point functions over the positions of the interaction operators and show that they vanish. This provides an explicit demonstration that the Ramond ground states remain protected against deformations away of the free orbifold point, as expected from algebraic considerations using the spectral flow of the N $$ \mathcal{N} $$ = (4, 4) superconformal algebra with central charge c = 6N. |
| first_indexed | 2024-12-14T22:06:16Z |
| format | Article |
| id | doaj.art-1658ee9cb52a43b09a16d16ce692d649 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T22:06:16Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1658ee9cb52a43b09a16d16ce692d6492022-12-21T22:45:52ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021714510.1007/JHEP07(2021)120On the dynamics of protected ramond ground states in the D1-D5 CFTA. 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 examine the behavior of the Ramond ground states in the D1-D5 CFT after a deformation of the free-orbifold sigma model on target space ( T 4 $$ {\mathbbm{T}}^4 $$ ) N /S N by a marginal interaction operator. These states are compositions of Ramond ground states of the twisted and untwisted sectors. They are characterized by a conjugacy class of S N and by the set of their “spins”, including both R-charge and “internal” SU(2) charge. We compute the four-point functions of an arbitrary Ramond ground state with its conjugate and two interaction operators, for genus-zero covering surfaces representing the leading orders in the large-N expansion. We examine short distance limits of these four-point functions, shedding light on the dynamics of the interacting theory. We find the OPEs and a collection of structure constants of the ground states with the interaction operators and a set of resulting non-BPS twisted operators. We also calculate the integrals of the four-point functions over the positions of the interaction operators and show that they vanish. This provides an explicit demonstration that the Ramond ground states remain protected against deformations away of the free orbifold point, as expected from algebraic considerations using the spectral flow of the N $$ \mathcal{N} $$ = (4, 4) superconformal algebra with central charge c = 6N.https://doi.org/10.1007/JHEP07(2021)120Conformal Field TheoryConformal Field Models in String Theory |
| spellingShingle | A. A. Lima G. M. Sotkov M. Stanishkov On the dynamics of protected ramond ground states in the D1-D5 CFT Journal of High Energy Physics Conformal Field Theory Conformal Field Models in String Theory |
| title | On the dynamics of protected ramond ground states in the D1-D5 CFT |
| title_full | On the dynamics of protected ramond ground states in the D1-D5 CFT |
| title_fullStr | On the dynamics of protected ramond ground states in the D1-D5 CFT |
| title_full_unstemmed | On the dynamics of protected ramond ground states in the D1-D5 CFT |
| title_short | On the dynamics of protected ramond ground states in the D1-D5 CFT |
| title_sort | on the dynamics of protected ramond ground states in the d1 d5 cft |
| topic | Conformal Field Theory Conformal Field Models in String Theory |
| url | https://doi.org/10.1007/JHEP07(2021)120 |
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