Superconformal Indices and M2-Branes

Abstract

We derive the superconformal index of the world-volume theory on M2-branes probing the cone over an arbitrary Sasaki-Einstein seven-manifold. The index is expressed in terms of the cohomology groups of the cone. We match our supergravity results with known results from gauge theory. Along the way we derive the spectrum of short Kaluza-Klein multiplets on generic Sasaki-Einstein seven-manifolds.

40 pages, 2 figures

References in corpus (7)

• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• The Invar tensor package: Differential invariants of Riemann
• Refined test of AdS4/CFT3 correspondence for N=2,3 theories
• Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory
• Superconformal Indices, Sasaki-Einstein Manifolds, and Cyclic Homologies

Cited by in corpus (1)

• Localisation on Sasaki-Einstein manifolds from holomophic functions on the cone