20.500.12556/DKUM-86162 T-branes and G(2) backgrounds Compactification of M-string theory on manifolds with G(2) structure yields a wide variety of 4D and 3D physical theories. We analyze the local geometry of such compactifications as captured by a gauge theory obtained from a three-manifold of ADE singularities. Generic gauge theory solutions include a nontrivial gauge field flux as well as normal deformations to the three-manifold captured by noncommuting matrix coordinates, a signal of T-brane phenomena. Solutions of the 3D gauge theory on a three-manifold are given by a deformation of the Hitchin system on a marked Riemann surface which is fibered over an interval. We present explicit examples of such backgrounds as well as the profile of the corresponding zero modes for localized chiral matter. We also provide a purely algebraic prescription for characterizing localized matter for such T-brane configurations. The geometric interpretation of this gauge theory description provides a generalization of twisted connected sums with codimension seven singularities at localized regions of the geometry. It also indicates that geometric codimension six singularities can sometimes support 4D chiral matter due to physical structure "hidden" in T-branes. Yang-Mills connections spin(7) holonomy bundles metrics Yang-Millsove povezave spin(7) holonomija snopi metrika true false true American Physical Society Angleški jezik Slovenski jezik Znanstveno delo 2023-10-16 11:56:50 2023-10-16 12:13:11 2025-01-14 12:18:29 0000-00-00 00:00:00 2020 0 0 Str. 1-23 št. 2, št. članka 26015 Letn. 101 24. jan. 2020 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2019-09-23 0000-00-00 2020-01-24 530.122.3 20850179 10.1103/PhysRevD.101.026015 2470-0029 T-branes_and_G(2)_backgrounds_Barbosa_2020.pdf T-branes_and_G(2)_backgrounds_Barbosa_2020.pdf 1 7B14610EDA430946257C47D6C1194FEF 5316efac4b57f186794a675ebc16508ede6ad0bc57086c3b2f05ce6d25f25c19 7b0b255d-6c0c-11ee-aee9-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=173586 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.026015 0 832b638f-6c0c-11ee-aee9-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=173587 Univerza v Mariboru 0 0 0