Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds

Details Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds

2003-01-22

arxiv.org/abs/hep-th/0301164v2

Nucl.Phys. B657 (2003) 3-52

Physics

High Energy Physics

High Energy Physics - Theory

60 pages, no figure, 2 tables; v2 typos corrected

Scientific paper

10.1016/S0550-3213(03)00148-2

We study aspects of superstring vacua of non-compact special holonomy manifolds with conical singularities constructed systematically using soluble N = 1 superconformal field theories (SCFT's). It is known that Einstein homogeneous spaces G/H generate Ricci flat manifolds with special holonomies on their cones R_+ x G/H, when they are endowed with appropriate geometrical structures, namely, the Sasaki-Einstein, tri-Sasakian, nearly Kahler, and weak G_2 structures for SU(n), Sp(n), G_2, and Spin(7) holonomies, respectively. Motivated by this fact, we consider the string vacua of the type: R^{d-1,1} x (N = 1 Liouville) x (N=1 supercoset CFT on G/H) where we use the affine Lie algebras of G and H in order to capture the geometry associated to an Einstein homogeneous space G/H. Remarkably, we find the same number of spacetime and worldsheet SUSY's in our ``CFT cone'' construction as expected from the analysis of geometrical cones over G/H in many examples. We also present an analysis on the possible Liouville potential terms (cosmological constant type operators) which provide the marginal deformations resolving the conical singularities.

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