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Betti multiplets, flows across dimensions and c-extremization

We consider 4d \( \mathcal{N} \) = 1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d \( \mathcal{N} \) = (0, 2) SCFTs. The exact R-current of these 2d SCFT extremizes the central charge c 2d , similarly to the 4d picture, where the exact R-current maximizes the central charge a 4d . There are global currents that do not mix with the ...

Surveying 4d SCFTs twisted on Riemann surfaces

Within the framework of four dimensional conformal supergravity we consider \( \mathcal{N}=1,\;2,\;3,\;4 \) supersymmetric theories generally twisted along the abelian subgroups of the R-symmetry and possibly other global symmetry groups. Upon compactification on constant curvature Riemann surfaces with arbitrary genus we provide an extensive classification of the resulting two ...

Notes on S-folds and \( \mathcal{N} \) = 3 theories

We consider D3 branes in presence of an S-fold plane. The latter is a non-perturbative object, arising from the combined projection of an S-duality twist and a discrete orbifold of the R-symmetry group. This construction naively gives rise to 4d \( \mathcal{N} \) = 3 SCFTs. Nevertheless it has been observed that in some cases supersymmetry is enhanced to \( \mathcal{N} \) = 4. In ...

3D τ RR -minimization in AdS4 gauged supergravity

In this paper we propose the identification in AdS4 \( \mathcal{N} \) = 2 gauged supergravity of the coefficient τRR of 3D \( \mathcal{N} \) = 2 SCFTs. We constrain the structure of this function in supergravity by combining the results from unitarity, holography and localization. We show that our conjectured function is minimized by the exact R-charge, corresponding to a ...

4d/3d reduction of s-confining theories: the role of the “exotic” D instantons

The reduction of 4d Seiberg duality to 3d by compactification on a circle is possible if finite size effects are considered. These effects boil down to the contribution of KK monopole operators acting as instantons in 3d, and they are crucial to preserve the 4d duality in 3d. This mechanism has been reproduced in string theory by T-duality on the type IIA brane setup. In some cases ...

A journey to 3d: exact relations for adjoint SQCD from dimensional reduction

In this note we elaborate on the reduction of four dimensional Seiberg duality with adjoint matter to three dimensions. We use the exact formulation of the superconformal index and of the partition function as instruments to test this reduction. We translate the identity between indices of the dual 4d theories to 3d. This produces various new identities between partition functions ...

Chern-Simons and RG flows: contact with dualities

Contact terms in two point functions of global symmetry currents have recently been proposed as a check of Seiberg-like duality in three dimensional supersymmetric field theories. In this paper we compute the contact terms for various \( \mathcal{N} \) = 2 dual pairs in flat space. We show that the results of this computation agree with the ones obtained from localization. We study ...

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

We engineer a brane picture for the reduction of Seiberg dualities from 4D to 3D, valid also in the presence of orientifold planes. We obtain effective 3D dualities on the circle by T-duality, geometrizing the non-perturbative superpotential which is an affine Toda potential. When reducing to pure 3D, we define a double-scaling limit which creates a sector of interacting singlets, ...

Scattering amplitudes and toric geometry

Antonio Amariti 1 Davide Forcella 0 Open Access 0 Physique Theorique et Mathematique and International Solvay Institutes, Universite Libre de Bruxelles , C.P. 231, 1050 Bruxelles, Belgium 1

Free energy v.s. Sasaki-Einstein volume for infinite families of M2-brane theories

We investigate infinite families of 3d \( \mathcal{N} = {2} \) superconformal Chern-Simons quivers with an arbitrarily large number of gauge groups arising on M2-branes over toric CY4’s. These theories have the same matter content and superpotential of those on D3-branes probing cones over L a,b,a Sasaki-Einstein manifolds. For all these infinite families, we explicitly show the ...

BPS states and their reductions

We develop a method to identify the BPS states in the Hilbert space of a supersymmetric field theory on a generic curved space which preserves at least two real supercharges. We also propose a one-to-one map between BPS states in d-dimensional field theories and states that contribute to the supersymmetric partition function of a corresponding (d − 1)-dimensional field theory. As ...

Holographic optics and negative refractive index

In recent years a very exciting and intense activity has been devoted to the understanding and construction of materials that enjoy exotic optical properties, such as a negative refractive index. Motivated by these experimental and theoretical developments, we use the string-inspired idea of holography to study the electromagnetic response of a certain class of media: strongly ...

Metastable vacua in superconformal SQCD-like theories

We study dynamical supersymmetry breaking in vector-like superconformal \( \mathcal{N} = 1 \) gauge theories. We find appropriate deformations of the superpotential to overcome the problem of the instability of the non supersymmetric vacuum. The request for long lifetime translates into constraints on the physical couplings which in this regime can be controlled through efficient ...

3D Seiberg-like dualities and M2 branes

We investigate features of duality in three dimensional \( \mathcal{N} = 2 \) Chern-Simons matter theories conjectured to describe M2 branes at toric Calabi Yau four-fold singularities. For 3D theories with non-chiral 4D parents we propone a Seiberg-like duality which turns out to be a toric duality. For theories with chiral 4D parents we discuss the conditions under which that ...