## Advances in Theoretical and Mathematical Physics

### 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 $\mathrm{AdS}_3 \times X^k \times \mathbb{T}^{7-k}$ 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.

#### Article information

Source
Adv. Theor. Math. Phys., Volume 17, Number 4 (2013), 771-827.

Dates
First available in Project Euclid: 21 August 2014

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1408626425

Mathematical Reviews number (MathSciNet)
MR3262516

Zentralblatt MATH identifier
1276.14054

#### Citation

Gemmer, Karl-Philip; Haupt, Alexander S.; Lechtenfeld, Olaf; Nölle, Christoph; Popov, Alexander D. Heterotic string plus five-brane systems with asymptotic $\mathrm{AdS}_3$. Adv. Theor. Math. Phys. 17 (2013), no. 4, 771--827. https://projecteuclid.org/euclid.atmp/1408626425