T-branes and G2 backgrounds
Abstract
Compactification of M-string theory on manifolds with G2 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.
- Publication:
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Physical Review D
- Pub Date:
- January 2020
- DOI:
- arXiv:
- arXiv:1906.02212
- Bibcode:
- 2020PhRvD.101b6015B
- Keywords:
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- High Energy Physics - Theory;
- Mathematics - Differential Geometry
- E-Print:
- v2: 47 pages, 3 figures, references and clarifications added, typos corrected