K-theory and phase transitions at high energies
| dc.contributor.author | T. V. Obikhod | |
| dc.date.accessioned | 2018-12-19T12:50:43Z | |
| dc.date.available | 2018-12-19T12:50:43Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | The duality between E8xE8 heteritic string on manifold K3xT2 and Type IIA string compactified on a Calabi-Yau manifold induces a correspondence between vector bundles on K3xT2 and Calabi-Yau manifolds. Vector bundles over compact base space K3xT2 form the set of isomorphism classes, which is a semi-ring under the operation of Whitney sum and tensor product. The construction of semi-ring V ect X of isomorphism classes of complex vector bundles over X leads to the ring KX = K(V ect X), called Grothendieck group. As K3 has no isometries and no non-trivial one-cycles, so vector bundle winding modes arise from the T2 compactification. Since we have focused on supergravity in d = 11, there exist solutions in d = 10 for which space-time is Minkowski space and extra dimensions are K3xT2. The complete set of soliton solutions of supergravity theory is characterized by RR charges, identified by K-theory. Toric presentation of Calabi-Yau through Batyrev's toric approximation enables us to connect transitions between Calabi-Yau manifolds, classified by enhanced symmetry group, with K-theory classification. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/6204 | |
| dc.identifier.uri | https://doi.org/10.15673/tmgc.v9i1.87 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | K-theory and phase transitions at high energies |