Heterotic string plus five-brane systems with asymptotic $\mathrm{AdS}_3$

Abstract

We present NS1+NS5-brane solutions of heterotic supergravity on curved geometries. They interpolate between a near horizon AdS 3 × X k × T 7−k region andThe solutions require first-order α -corrections to the field equations, and special point-like instantons play an important role, whose singular support is a calibrated submanifold wrapped by the NS5-brane. It is also possible to add a gauge anti-fivebrane. We determine the super isometries of the near horizon geometry, which are supposed to appear as symmetries of the holographically dual two-dimensional conformal field theory.e-print archive: http://lanl.arXiv.org/abs/1202.5046 772 KARL-PHILIP GEMMER ET AL.

Instantons on conical half-flat 6-manifolds

“…The gaugino equation (1.1c) is already solved by the instanton solutions above. The remaining equations should be solvable in a manner similar to [22,23,32,33], which may look as follows:…”

“…In particular, fluxes in heterotic string theories, which play a prominent role in string-theory model building due to the easy incorporation of the standard-model gauge group, have been considered e.g. in [10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Heterotic flux compactifications have been known for quite some time, starting from refs.…”

“…with intrinsic torsion) on the internal compact 6-manifolds. Among these manifolds there are six-dimensional nearly Kähler and half-flat manifolds [10][11][12][13][14][20][21][22][23].…”

“…γ(F A ) = γ(R) = 0. Therefore, in the spirit of [22,23,32,33], we study the instanton equation (1.1c) for non-integrable SU(3)-structures in order to provide an important ingredient for full heterotic supergravity solutions. 2 The construction of metric cones and sine-cones over manifolds M d with a G-structure provides a tool to generate and link different G -structures on (d+1)-dimensional manifolds.…”

“…[36,37] and references therein). These brane solution in heterotic supergravity with Yang-Mills instantons on the metric cones C(M 9−p ) have been considered in [22,23,38]. Here, we take the first step to generalize them by considering sine-cones with nearly Kähler structures as well as cylinders with half-flat structures instead of metric cones with Kähler structures.…”