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August 2013 Heterotic string plus five-brane systems with asymptotic $\mathrm{AdS}_3$
Karl-Philip Gemmer, Alexander S. Haupt, Olaf Lechtenfeld, Christoph Nölle, Alexander D. Popov
Adv. Theor. Math. Phys. 17(4): 771-827 (August 2013).


>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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Karl-Philip Gemmer. Alexander S. Haupt. Olaf Lechtenfeld. Christoph Nölle. Alexander D. Popov. "Heterotic string plus five-brane systems with asymptotic $\mathrm{AdS}_3$." Adv. Theor. Math. Phys. 17 (4) 771 - 827, August 2013.


Published: August 2013
First available in Project Euclid: 21 August 2014

zbMATH: 1276.14054
MathSciNet: MR3262516

Rights: Copyright © 2013 International Press of Boston

Vol.17 • No. 4 • August 2013
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