Mirror symmetry and new approach to constructing orbifolds of Gepner models
Motivated by the principles of the conformal bootstrap, primarily the principle of Locality, simultaneously with the requirement of space-time supersymmetry, we reconsider constructions of compactified superstring models. Starting from requirements of space-time supersymmetry and mutual locality, we...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-01-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323003589 |
| _version_ | 1797371411994509312 |
|---|---|
| author | Alexander Belavin Sergey Parkhomenko |
| author_facet | Alexander Belavin Sergey Parkhomenko |
| author_sort | Alexander Belavin |
| collection | DOAJ |
| description | Motivated by the principles of the conformal bootstrap, primarily the principle of Locality, simultaneously with the requirement of space-time supersymmetry, we reconsider constructions of compactified superstring models. Starting from requirements of space-time supersymmetry and mutual locality, we construct a complete set of physical fields of orbifolds of Gepner models. To technically implement this, we use spectral flow generators to construct all physical fields from the chiral primary fields. The set of these spectral flow operators forms a so-called admissible group Gadm, which defines a given orbifold. The action of these operators produces a collection of physical fields consistent with the action of supersymmetry generators. The selection of mutually local fields from this collection is carried out using the mirror group Gadm⁎. The permutation of Gadm and Gadm⁎ replaces the original orbifold with a mirror one that satisfies the same conditions as the original one. This also implies that the resulting model is modular invariant. |
| first_indexed | 2024-03-08T18:19:34Z |
| format | Article |
| id | doaj.art-592ddcc95cf14f3cbdd57e36eb694391 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-08T18:19:34Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-592ddcc95cf14f3cbdd57e36eb6943912023-12-31T04:25:58ZengElsevierNuclear Physics B0550-32132024-01-01998116431Mirror symmetry and new approach to constructing orbifolds of Gepner modelsAlexander Belavin0Sergey Parkhomenko1Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia; Kharkevich Institute for Information Transmission Problems, 127994 Moscow, Russia; Corresponding author.Landau Institute for Theoretical Physics, 142432 Chernogolovka, RussiaMotivated by the principles of the conformal bootstrap, primarily the principle of Locality, simultaneously with the requirement of space-time supersymmetry, we reconsider constructions of compactified superstring models. Starting from requirements of space-time supersymmetry and mutual locality, we construct a complete set of physical fields of orbifolds of Gepner models. To technically implement this, we use spectral flow generators to construct all physical fields from the chiral primary fields. The set of these spectral flow operators forms a so-called admissible group Gadm, which defines a given orbifold. The action of these operators produces a collection of physical fields consistent with the action of supersymmetry generators. The selection of mutually local fields from this collection is carried out using the mirror group Gadm⁎. The permutation of Gadm and Gadm⁎ replaces the original orbifold with a mirror one that satisfies the same conditions as the original one. This also implies that the resulting model is modular invariant.http://www.sciencedirect.com/science/article/pii/S0550321323003589 |
| spellingShingle | Alexander Belavin Sergey Parkhomenko Mirror symmetry and new approach to constructing orbifolds of Gepner models Nuclear Physics B |
| title | Mirror symmetry and new approach to constructing orbifolds of Gepner models |
| title_full | Mirror symmetry and new approach to constructing orbifolds of Gepner models |
| title_fullStr | Mirror symmetry and new approach to constructing orbifolds of Gepner models |
| title_full_unstemmed | Mirror symmetry and new approach to constructing orbifolds of Gepner models |
| title_short | Mirror symmetry and new approach to constructing orbifolds of Gepner models |
| title_sort | mirror symmetry and new approach to constructing orbifolds of gepner models |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323003589 |
| work_keys_str_mv | AT alexanderbelavin mirrorsymmetryandnewapproachtoconstructingorbifoldsofgepnermodels AT sergeyparkhomenko mirrorsymmetryandnewapproachtoconstructingorbifoldsofgepnermodels |