Abstract We construct codimension-2 BPS brane solutions in  maximal supergravities by solving Killing spinor equations. We assume the Poincaré invariance along the worldvolume and vanishing gauge fields, and determine the metric and the scalar fields. The solution in  is essentially the same as the ten-dimensional one, which is specified by a holomorphic function in the transverse space. For , the solution is specified by two holomorphic functions, and regarded as  compactification of F-theory. For , 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.

Japan

Yosuke Imamura

Hirotaka Kato

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

We study supersymmetry enhancement from N = 3 $$ \mathcal{N}=3 $$ to N = 4 $$ \mathcal{N}=4 $$ proposed by Aharony and Tachikawa by using string junctions in S-folds. The central charges carried by junctions play a central role in our analysis. We consider planer junctions in a specific plane. Before the S-folding they carry two complex central charges, which we denote by Z and Z ¯ $$ \overline{Z} $$ . The S-fold projection eliminates Z ¯ $$ \overline{Z} $$ as well as one of the four supercharges, and when the supersymmetry is enhanced Z ¯ $$ \overline{Z} $$ should be reproduced by some non-perturbative mechanism. For the models of ℤ 3 and ℤ 4 S-folds which are expected to give SU(3) and SO(5) N = 4 $$ \mathcal{N}=4 $$ theories we compare the junction spectra with those in perturbative brane realization of the same theories. We establish one-to-one correspondence so that Z coincides. By using the correspondence we also give an expression for the enhanced central charge Z ¯ $$ \overline{Z} $$ .