The Atiyah class and complex structure stabilization in heterotic Calabi-Yau compactifications

Journal of High Energy Physics 2011:10 (2011)

Authors:

LB Anderson, J Gray, A Lukas, B Ovrut

Abstract:

Holomorphic gauge fields in N = 1 supersymmetric heterotic compactifications can constrain the complex structure moduli of a Calabi-Yau manifold. In this paper, the tools necessary to use holomorphic bundles as a mechanism for moduli stabilization are systematically developed. We review the requisite deformation theory - including the Atiyah class, which determines the deformations of the complex structure for which the gauge bundle becomes non-holomorphic and, hence, non-supersymmetric. In addition, two equivalent approaches to this mechanism of moduli stabilization are presented. The first is an efficient computational algorithm for determining the supersymmetric moduli space, while the second is an F-term potential in the four-dimensional theory associated with vector bundle holomorphy. These three methods are proven to be rigorously equivalent. We present explicit examples in which large numbers of complex structure moduli are stabilized. Finally, higher-order corrections to the moduli space are discussed. © 2011 SISSA.

The IceCube Neutrino Observatory VI: Neutrino Oscillations, Supernova Searches, Ice Properties

ArXiv 1111.2731 (2011)

Abstract:

Atmospheric neutrino oscillations with DeepCore; Supernova detection with IceCube and beyond; Study of South Pole ice transparency with IceCube flashers; Submitted papers to the 32nd International Cosmic Ray Conference, Beijing 2011.

The IceCube Neutrino Observatory III: Cosmic Rays

ArXiv 1111.2735 (2011)

Abstract:

Cosmic rays and related measurements: IceTop overview; IceTop calibration; Cosmic ray composition; Air shower measurements; Studies of cosmic ray muons; Studies of PeV gamma rays; Cosmic ray anisotropy; Forbush decrease; Submitted papers to the 32nd International Cosmic Ray Conference, Beijing 2011.

The IceCube Neutrino Observatory II: All Sky Searches: Atmospheric, Diffuse and EHE

ArXiv 1111.2736 (2011)

Abstract:

All sky neutrino searches: Atmospheric neutrinos; Astrophysical neutrinos; Cosmegenic neutrinos; Submitted papers to the 32nd International Cosmic Ray Conference, Beijing 2011.

The IceCube Neutrino Observatory IV: Searches for Dark Matter and Exotic Particles

ArXiv 1111.2738 (2011)

Abstract:

Exotic particle searches: WIMPs annihilating in the Sun, in the galactic center, in nearby dwarf galaxies; magnetic monopoles; Submitted papers to the 32nd International Cosmic Ray Conference, Beijing 2011.