Green's functions and non-singlet glueballs on deformed conifolds

Silviu S. Pufu, Igor R. Klebanov, Thomas Klose, Jennifer Lin

Research output: Contribution to journalArticle

14 Scopus citations

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 ℂd through the equation Σdi=1 z 2i = ∈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 ∈-deformation of the U (1) symmetry that rotates zi 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.

Original languageEnglish (US)
Article number055404
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number5
DOIs
StatePublished - Feb 4 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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