Green's functions and non-singlet glueballs on deformed conifolds
2011 (English)In: Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, Vol. 44, no 5, 055404- p.Article in journal (Refereed) Published
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 Sigma(d)(i=1) z(i)(2) = epsilon(2). We discuss Green's function with a source at a point on the Sd-1 zero section of T Sd-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. 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.
Place, publisher, year, edition, pages
2011. Vol. 44, no 5, 055404- p.
IdentifiersURN: urn:nbn:se:uu:diva-148945DOI: 10.1088/1751-8113/44/5/055404ISI: 000286187700019OAI: oai:DiVA.org:uu-148945DiVA: diva2:403804