Twistor Strings with Flavour

TL;DR

This paper constructs twistor string duals for certain N=2 supersymmetric gauge theories with fundamental matter, using orientifolds and flavor branes, and matches amplitudes to demonstrate the correspondence.

Contribution

It identifies the twistor duals of specific N=2 gauge theories with fundamental flavors through orientifolding and flavor branes, extending twistor string descriptions.

Findings

Constructed twistor duals for N=2 theories with fundamental matter.

Matched amplitudes between twistor string and gauge theory descriptions.

Showed geometric realization of flavor symmetry in twistor space.

Abstract

We explore the tree-level description of a class of N=2 UV-finite SYM theories with fundamental flavour within a topological B-model twistor string framework. In particular, we identify the twistor dual of the Sp(N) gauge theory with one antisymmetric and four fundamental hypermultiplets, as well as that of the SU(N) theory with 2N hypermultiplets. This is achieved by suitably orientifolding/orbifolding the original N=4 setup of Witten and adding a certain number of new topological 'flavour'-branes at the orientifold/orbifold fixed planes to provide the fundamental matter. We further comment on the appearance of these objects in the B-model on CP(3|4). An interesting aspect of our construction is that, unlike the IIB description of these theories in terms of D3 and D7-branes, on the twistor side part of the global flavour symmetry is realised geometrically. We provide evidence for this correspondence by calculating and matching amplitudes on both sides.