Duality

An AdS/EFT correspondence at large charge

Considering theories in sectors of large global charge $Q$ results in a semiclassical effective field theory (EFT) description for some strongly-coupled conformal field theories (CFTs) with continuous global symmetries. Hence, when studying dualities …

Deformations, defects and a noncommutative spectral curve

The fluxtrap is an exact string theory background that has been originally introduced as a string realization of the $\Omega$ deformation. The background can be completely captured, via a Seiberg-Witten map, by a noncommutative deformation of flat …

Monopole Quivers and new 3D N=2 dualities

We present a new family of dualities for three-dimensional gauge theories, motivated by the brane realization of the reduction of four-dimensional dualities on a circle. This family can be understood as a generalization of Aharony duality to quiver …

String theory and the 4D/3D reduction of Seiberg duality. A Review

We review the reduction of four-dimensional N=1 Seiberg duality to three dimensions focusing on the D brane engineering approach. We start with an overview of four-dimensional Seiberg duality for theories with various types of gauge groups and matter …

Generalized type IIB supergravity equations and non-Abelian classical r-matrices

We study Yang-Baxter deformations of the $AdS_5 \times S^5$ superstring with non-Abelian classical $r$-matrices which satisfy the homogeneous classical Yang-Baxter equation (CYBE). By performing a supercoset construction, we can get deformed $AdS_5 …

Phases of N=2 Necklace Quivers

We classify the phases of N=2 elliptic models in terms of their global properties i.e. the spectrum of line operators. We show the agreement between the field theory and the M-theory analysis and how the phases form orbits under the action of the …

The M-theory origin of global properties of gauge theories

We show that global properties of gauge groups can be understood as geometric properties in M-theory. Different wrappings of a system of N M5-branes on a torus reduce to four-dimensional theories with $A_N$ gauge algebra and different unitary groups. …

Yang-Baxter deformations of Minkowski spacetime

We study Yang–Baxter deformations of 4D Minkowski spacetime. We obtain metrics and $B$–fields as Yang–Baxter deformations which correspond to well-known configurations such as T–duals of Melvin backgrounds, Hashimoto–Sethi and …

4D/3D reduction of dualities: mirrors on the circle

We engineer a brane picture for the reduction of Seiberg dualities from four dimensions to three dimensions, valid also in the presence of orientifold planes. We obtain effective three-dimensional dualities on the circle by T-duality, geometrizing …