English

Dynamic SU(2) Structure from Seven-branes

High Energy Physics - Theory 2011-07-14 v2

Abstract

We obtain a family of supersymmetric solutions of type IIB supergravity with dynamic SU(2) structure, which describe the local geometry near a stack of four D7-branes and one O7-plane wrapping a rigid four-cycle. The deformation to a generalized complex geometry is interpreted as a consequence of nonperturbative effects in the seven-brane gauge theory. We formulate the problem for seven-branes wrapping the base of an appropriate del Pezzo cone, and in the near-stack limit in which the four-cycle is flat, we obtain an exact solution in closed form. Our solutions serve to characterize the local geometry of nonperturbatively-stabilized flux compactifications.

Keywords

Cite

@article{arxiv.1011.3510,
  title  = {Dynamic SU(2) Structure from Seven-branes},
  author = {Ben Heidenreich and Liam McAllister and Gonzalo Torroba},
  journal= {arXiv preprint arXiv:1011.3510},
  year   = {2011}
}

Comments

49 pages, 2 figures; v2: minor corrections, references added

R2 v1 2026-06-21T16:44:10.029Z