The Abelian heterotic conifold

Abstract

Abstract:We study heterotic supergravity on the conifold and its Z 2 orbifold with Abelian gauge fields and three-form flux. By taking a limit of large five brane charge, we are able suppress non-linear curvature corrections and construct exact supersymmetric solutions. At large distances, these solutions are generically locally Ricci-flat, have a magnetic flux through the two-sphere at infinity as well as non-zero five-brane charge. For a given flux, our family of solutions has three real parameters, the size of the pair of two spheres in the IR and the dilaton zero mode. We present an explicit analytic solution for a decoupled near horizon region which is not asymptotically locally Ricci-flat and where for a given flux, the size of the cycles is frozen and the only parameter is the dilaton zero mode. We also present an exactly solvable worldsheet CFT for this near horizon region. When one of the two cycles has vanishing size, the near horizon region no longer exists but nonetheless we obtain a solution on the (unorbifolded) resolved conifold.

α′-corrected black holes in String Theory

“…See Ref. [35] and references therein. An early use of this mechanism applied to a configuration related to that studied here can be found in Ref.…”

Special Lagrangian cycles and Calabi-Yau transitions

“…The study of non-Kähler Calabi-Yau geometry in theoretical physics was initiated by Strominger [85], and has since grown into an active area of research; see e.g. [3,25,26,29,30,31,34,35,48,71] for examples, see [2,6,5,13,22,40,41,52] for developments in string theory, and see [27,28,36,38,39,58,65,72,73,74,75,84,88,90,91] for research programs in this area.…”

The Anomaly Flow over Riemann Surfaces

“…This idea was later extended by Hull-Strominger [31,49] to allow superstrings with torsion, which leads to a system of equations in non-Kähler geometry with conformally balanced metrics. Examples of solutions to the Hull-Strominger system include [35,20,21,17,24,15,19,1,16,9,26] and references therein. Stationary points of the Anomaly flow are solutions to the Hull-Strominger system.…”