English

Codimension-2 brane solutions of maximal supergravities in 9, 8, and 7 dimensions

High Energy Physics - Theory 2019-12-06 v3

Abstract

We construct codimension-2 BPS brane solutions in D=9,8,7D=9,8,7 maximal supergravities by solving Killing spinor equations. We assume the Poincare invariance along the worldvolume and vanishing gauge fields, and determine the metric and the scalar fields. The solution in D=9D=9 is essentially the same as the ten-dimensional one, which is specified by a holomorphic function in the transverse space. For D=8D=8, the solution is specified by two holomorphic functions, and regarded as T2×T2T^2\times T^2 compactification of F-theory. For D=7D=7, we find that the solution can be interpreted as M-theory on Calabi-Yau, and under an additional assumption a solution is specified by two holomorphic functions.

Keywords

Cite

@article{arxiv.1711.03242,
  title  = {Codimension-2 brane solutions of maximal supergravities in 9, 8, and 7 dimensions},
  author = {Yosuke Imamura and Hirotaka Kato},
  journal= {arXiv preprint arXiv:1711.03242},
  year   = {2019}
}

Comments

v3: 23 pages, typos corrected and explanations improved. Version accepted for publication in PTEP