Effective Gravitational Couplings of Kaluza-Klein Gauge Theories

Abstract

We study the effective gravitational couplings of four-dimensional Kaluza-Klein compactified gauge theories with eight supercharges. The class of theories we consider are the pure SU(N) Yang-Mills theories at admissible Chern-Simons levels and the conformal gauge theories with 2N fundamental flavours. The resolvent of the gauge theory plays a crucial role in the calculation of these gravitational couplings. The results obtained from the Seiberg-Witten geometry are matched against independent computations using localisation.

24 pages

References in corpus (6)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• Chiral observables and S-duality in N = 2* U(N) gauge theories
• Virasoro blocks and quasimodular forms
• Effective Gravitational Couplings of Higher-Rank Supersymmetric Gauge Theories