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

Olaf Lechtenfeld (Institut für Theoretische Physik, Leibniz Universität, Hannover, Germany; Centre for Quantum Engineering and Space-Time Research, Leibniz, Germany Universität Hannover, Germany)

Christoph Nölle (Institut für Theoretische Physik, Leibniz Universität, Hannover, Germany)

Alexander D. Popov (Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Moscow Region, Russia)

Abstract

We present $NS1+NS5$-brane solutions of heterotic supergravity on curved geometries. They interpolate between a near horizon $\mathrm{AdS}_3 \times X^k \times \mathbb{T}^{7-k}$ region and $\mathbb R^{1,1} \times c(X^k) \times \mathbb{T}^{7-k}$, where $X^k$ (with $k =3,5,6,7$) is a $k$-dimensional geometric Killing spinor manifold, $c(X^k)$, its Ricci-flat cone and $\mathbb{T}^{7-k}$ a $(7-k)$-torus. The solutions require first-order $\alpha'$-corrections to the field equations, and special point-like instantons play an important role, whose singular support is a calibrated submanifold wrapped by the $\mathrm{NS5}$-brane. It is also possible to add a gauge anti-five-brane. 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.

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Published 3 March 2014