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Search: authors:"Shlomo S. Razamat"

11 papers found.
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D-type conformal matter and SU/USp quivers

Abstract We discuss the four dimensional models obtained by compactifying a single M5 brane probing D N singularity (minimal D-type (1, 0) conformal matter in six dimensions) on a torus with flux for abelian subgroups of the SO(4N) flavor symmetry. We derive the resulting quiver field theories in four dimensions by first compactifying on a circle and relating the flux to duality...

E 8 orbits of IR dualities

We discuss USp(2n) supersymmetric models with eight fundamental fields and a field in the antisymmetric representation. Turning on the most generic superpotentials, coupling pairs of fundamental fields to powers of the antisymmetric field while preserving an R symmetry, we give evidence for the statement that the models are connected by a large network of dualities which can be...

From 3d duality to 2d duality

In this paper we discuss 3d \( \mathcal{N} \) = 2 supersymmetric gauge theories and their IR dualities when they are compactified on a circle of radius r, and when we take the 2d limit in which r → 0. The 2d limit depends on how the mass parameters are scaled as r → 0, and often vacua become infinitely distant in the 2d limit, leading to a direct sum of different 2d theories. For...

4d \( \mathcal{N}=1 \) from 6d (1, 0)

We study the geometry of 4d \( \mathcal{N}=1 \) SCFT’s arising from compactification of 6d (1, 0) SCFT’s on a Riemann surface. We show that the conformal manifold of the resulting theory is characterized, in addition to moduli of complex structure of the Riemann surface, by the choice of a connection for a vector bundle on the surface arising from flavor symmetries in 6d. We...

Exceptionally simple exceptional models

We discuss models with no dynamical vector fields in various dimensions which we claim might have exceptional symmetry on some loci of their parameter space. In particular we construct theories with four supercharges flowing to theories with global symmetry enhancing to F 4, E 6, and E 7. The main evidence for these claims is based on extracting information about the symmetry...

The long flow to freedom

Two-dimensional field theories do not have a moduli space of vacua. Instead, it is common that their low-energy behavior is a sigma model with a target space. When this target space is compact its renormalization group flow is standard. When it is non-compact the continuous spectrum of operators can change the qualitative behavior. Here we discuss two-dimensional gauge theories...

4d \( \mathcal{N}=1 \) from 6d \( \mathcal{N}=\left(1,0\right) \) on a torus with fluxes

Compactifying \( \mathcal{N}=\left(1,0\right) \) theories on a torus, with additional fluxes for global symmetries, we obtain \( \mathcal{N}=1 \) supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. In particular we compare the anomalies deduced from the description of the six...

\( \mathcal{N}=1 \) theories of class \( {\mathcal{S}}_k \)

We construct classes of \( \mathcal{N}=1 \) superconformal theories elements of which are labeled by punctured Riemann surfaces. Degenerations of the surfaces correspond, in some cases, to weak coupling limits. Different classes are labeled by two integers (N, k). The k = 1 case coincides with A N − 1 \( \mathcal{N}=2 \) theories of class \( \mathcal{S} \) and simple examples of...

On the reduction of 4d \( \mathcal{N}=1 \) theories on \( {\mathbb{S}}^2 \)

We discuss reductions of general \( \mathcal{N}=1 \) four dimensional gauge theories on \( {\mathbb{S}}^2 \). The effective two dimensional theory one obtains depends on the details of the coupling of the theory to background fields, which can be translated to a choice of R-symmetry. We argue that, for special choices of R-symmetry, the resulting two dimensional theory has a...

Down the rabbit hole with theories of class \( \mathcal{S} \)

We review some of the properties of 3d \( \mathcal{N}=4 \) theories obtained by dimensionally reducing theories of class \( \mathcal{S} \) . We study 3d partition functions, and certain limits thereof, for such theories, and the properties implied for these by 3d mirror symmetry.

3d dualities from 4d dualities for orthogonal groups

We extend recent work on the relation of 4d and 3d IR dualities of supersymmetric gauge theories with four supercharges to the case of orthogonal gauge groups. The distinction between different SO(N) gauge theories in 4d plays an important role in this relation. We show that the 4d duality leads to a 3d duality between an SO(N c ) gauge theory with N f flavors and an SO(N f − N c...