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arXiv · 1009.2763

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

Silviu S. Pufu·Igor R. Klebanov·Thomas Klose·Jennifer Lin
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Abstract

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} = ε^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 ε-deformation of the U(1) symmetry that rotates z_i by a phase. A similar mixing affects the spectrum of normal modes of warped deformed conifolds that appear in gauge/gravity duality. We solve the mixing problem numerically to determine certain bound state spectra in various representations of SO(d) for the d=4 and d=5 examples.

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Silviu S. Pufu, Igor R. Klebanov, Thomas Klose, Jennifer Lin. 2010-09-14. Green's Functions and Non-Singlet Glueballs on Deformed Conifolds. https://doi.org/10.1088/1751-8113/44/5/055404

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