1.7k citations · 5k across the 25 of their papers we have counts for
26 papers
Higher-Form Symmetries in 5d
David R. Morrison, Sakura Schafer-Nameki, Brian Willett
We study higher-form symmetries in 5d quantum field theories, whose charged operators include extended operators such as Wilson line and 't Hooft operators. We outline criteria for…
Star shaped quivers with flux
Shlomo S. Razamat, Brian Willett
We study the compactification of the 6d SCFT on the product of a Riemann surface with flux and a circle. On the one hand, this can be understood by first reducing…
Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
Julius Eckhard, Heeyeon Kim, Sakura Schafer-Nameki +1
By incorporating higher-form symmetries, we propose a refined definition of the theories obtained by compactification of the 6d theory on a three-manifold . This gener…
5d Partition Functions with A Twist
P. Marcos Crichigno, Dharmesh Jain, Brian Willett
We derive the partition function of 5d gauge theories on the manifold with a partial topological twist along the Riemann surface, $Σ_{\frak…
Seifert fibering operators in 3d theories
Cyril Closset, Heeyeon Kim, Brian Willett
We study 3d supersymmetric gauge theories on closed oriented Seifert manifold---circle bundles over an orbifold Riemann surface---, with a gauge group G given by a…
Partition functions on 3d circle bundles and their gravity duals
Chiara Toldo, Brian Willett
The partition function of a three-dimensional theory on the manifold , an bundle of degree over a closed Riemann surface , was re…
From 3d duality to 2d duality
Ofer Aharony, Shlomo S. Razamat, Brian Willett
In this paper we discuss supersymmetric gauge theories and their IR dualities when they are compactified on a circle of radius , and when we take the limi…
supersymmetric indices and the four-dimensional A-model
Cyril Closset, Heeyeon Kim, Brian Willett
We compute the supersymmetric partition function of supersymmetric gauge theories with an -symmetry on , a pri…
Supersymmetric partition functions and the three-dimensional A-twist
Cyril Closset, Heeyeon Kim, Brian Willett
We study three-dimensional supersymmetric gauge theories on , an oriented circle bundle of degree over a closed Riemann surface, . We co…
The long flow to freedom
Ofer Aharony, Shlomo S. Razamat, Nathan Seiberg +1
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 spac…
Localization on three-dimensional manifolds
Brian Willett
In this review article we describe the localization of three dimensional N=2 supersymmetric theories on compact manifolds, including the squashed sphere, S^3_b, the lens space, S^3…
Localization techniques in quantum field theories
Vasily Pestun, Maxim Zabzine, Francesco Benini +17
This is the foreword to the special volume on localization techniques in quantum field theory. We summarize the individual chapters and their relation.
On the reduction of 4d N=1 theories on S^2
Abhijit Gadde, Shlomo S. Razamat, Brian Willett
We discuss reductions of general N=1 four dimensional gauge theories on S^2. The effective two dimensional theory one obtains depends on the details of the coupling of the theory t…
A "Lagrangian" for a non-Lagrangian theory
Abhijit Gadde, Shlomo S. Razamat, Brian Willett
We suggest an N=1 Lagrangian flowing in the infra-red to the N=2 rank one superconformal field theory with E_6 flavor symmetry. We utilize this description to compute several super…
Generalized Global Symmetries
Davide Gaiotto, Anton Kapustin, Nathan Seiberg +1
A -form global symmetry is a global symmetry for which the charged operators are of space-time dimension ; e.g. Wilson lines, surface defects, etc., and the charged excitatio…
Down the rabbit hole with theories of class S
Shlomo S. Razamat, Brian Willett
We review some of the properties of 3d N=4 theories obtained by dimensionally reducing theories of class S. We study 3d partition functions, and certain limits thereof, for such th…
3d dualities from 4d dualities for orthogonal groups
Ofer Aharony, Shlomo S. Razamat, Nathan Seiberg +1
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 betw…
Global Properties of Supersymmetric Theories and the Lens Space
Shlomo S. Razamat, Brian Willett
We compute the supersymmetric partition function on L(r,1)xS^1, the lens space index, for 4d gauge theories related by supersymmetric dualities and involving non simply-connected g…
3d dualities from 4d dualities
Ofer Aharony, Shlomo S. Razamat, Nathan Seiberg +1
Many examples of low-energy dualities have been found in supersymmetric gauge theories with four supercharges, both in four and in three space-time dimensions. In these dualities,…
Wilson loops in supersymmetric Chern-Simons-matter theories and duality
Anton Kapustin, Brian Willett
We study the algebra of BPS Wilson loops in 3d gauge theories with N=2 supersymmetry and Chern-Simons terms. We argue that new relations appear on the quantum level, and that in ma…
Exact results for supersymmetric abelian vortex loops in 2+1 dimensions
Anton Kapustin, Brian Willett, Itamar Yaakov
We define a class of supersymmetric defect loop operators in N = 2 gauge theories in 2+1 dimensions. We give a prescription for computing the expectation value of such operators in…
Generalized Superconformal Index for Three Dimensional Field Theories
Anton Kapustin, Brian Willett
We introduce a generalization of the S^2 x S^1 superconformal index where background gauge fields with magnetic flux are coupled to the global symmetries of the theory. This allows…
N=2 Dualities and Z Extremization in Three Dimensions
Brian Willett, Itamar Yaakov
We use localization techniques to study duality in N = 2 supersymmetric gauge theories in three dimensions. Specifically, we consider a duality due to Aharony involving unitary and…
Tests of Seiberg-like Duality in Three Dimensions
Anton Kapustin, Brian Willett, Itamar Yaakov
We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition fun…