Topological duality twist and brane instantons in F-theory

Abstract

A variant of the topological twist, involving SL(2,Z) dualities and hence named topological duality twist, is introduced and explicitly applied to describe a U(1) N=4 super Yang-Mills theory on a Kaehler space with holomorphically space-dependent coupling. Three-dimensional duality walls and two-dimensional chiral theories naturally enter the formulation of the duality twisted theory. Appropriately generalized, this theory is relevant for the study of Euclidean D3-brane instantons in F-theory compactifications. Some of its properties and implications are discussed.

39 pages, 7 figures

References in corpus (6)

• Lectures on F-theory compactifications and model building
• Interface Yang-Mills, Supersymmetry, and Janus
• Deformations of calibrated D-branes in flux generalized complex manifolds
• Localized modes at a D-brane--O-plane intersection and heterotic Alice strings
• Abelian duality, walls and boundary conditions in diverse dimensions
• Ground States of S-duality Twisted N=4 Super Yang-Mills Theory

Cited by in corpus (9)

• F-theory and AdS_3/CFT_2
• Warping the Kähler potential of F-theory/IIB flux compactifications
• The anomaly that was not meant IIB
• Generalized Symmetries in F-theory and the Topology of Elliptic Fibrations
• Six-dimensional Origin of $\mathcal{N}=4$ SYM with Duality Defects
• Supergravity Backgrounds for Four-Dimensional Maximally Supersymmetric Yang-Mills
• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
• Variations on S-fold CFTs
• $\mathcal{I}$/$c$-Extremization in M/F-Duality