Green's Functions and Non-Singlet Glueballs on Deformed Conifolds

Understand

We study the Laplacian on Stenzel spaces (generalized deformed conifolds), which are tangent bundles of spheres endowed with Ricci flat metrics.

• The (2d-2)-dimensional Stenzel space has SO(d) symmetry and can be embedded in C^d through the equation \sum_{i = 1}^d {z_i^2} = \epsilon^2.
• We discuss the Green's function with a source at a point on the S^{d-1} zero section of TS^{d-1}.
• Its calculation is complicated by mixing between different harmonics with the same SO(d) quantum numbers due to the explicit breaking by the \epsilon-deformation of the U(1) symmetry that rotates z_i by a phase.