Spectrum Universality Properties of Holographic Chern-Simons Theories

Authors

Yi Pang, Max-Planck-Institut für GravitationsphysikFollow
Junchen Rong, Institute for Basic SciencesFollow
Oscar J. Varela, Utah State UniversityFollow

Document Type

Article

Journal/Book Title/Conference

Journal of High Energy Physics

Issue

61

Publisher

Springer Verlag

Publication Date

1-15-2018

First Page

1

Last Page

35

Abstract

We give a master formula for the sin-2 spectrum of a class of three-dimensional Chern-Simons theories at large N, with flavour group containing SU(3), that arise as infrared fixed points of the D2-brane worldvolume field theory and have AdS₄ duals in massive type IIA supergravtiy. We use this formula to compute the spin-2 spectrum of the individual theories discuss its supermultiplet structure and, for an N = 2 theory in this class, the spectrum of protected operators with spin 2. We also show that the trace of the Kaluza-Klein graviton mass matrix on the dual AdS₄ solutions enjoys certain universality properties. These are shown to relate the class of AdS₄ massive IIA solutions under consideration to a similar class of AdS₄ solutions of D = 11 supergravity with the same symmetries. Finally, for the N = 2AdS₄ solution in this class, we study the entire spectrum at lowest Kaluza-Klein level and relate it to an analogue solution in D = 11 supergravity.

Recommended Citation

Pang, Yi; Rong, Junchen; and Varela, Oscar J., "Spectrum Universality Properties of Holographic Chern-Simons Theories" (2018). All Physics Faculty Publications. Paper 2060.
https://digitalcommons.usu.edu/physics_facpub/2060