From 3d duality to 2d duality

@article{Aharony2017From3D,
  title={From 3d duality to 2d duality},
  author={Ofer Aharony and Shlomo S. Razamat and Brian Willett},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2017},
  pages={1-63}
}
A bstractIn this paper we discuss 3dN$$ \mathcal{N} $$ = 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 generic mass parameters, when we take the same limit on both sides of a duality, we obtain 2d dualities… 

T[SU(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences

A bstractWe study various duality webs involving the 3d FT[SU(N)] theory, a close relative of the T[SU(N)] quiver tail. We first map the partition functions of FT[SU(N)] and its 3d spectral dual to a

Notes on 8 Majorana Fermions

Eight Majorana fermions in d=1+1d=1+1 dimensions enjoy a triality that permutes the representation of the SO(8)SO(8) global symmetry in which the fermions transform. This triality plays an important

Exploring 5d BPS Spectra with Exponential Networks

We develop geometric techniques for counting BPS states in five-dimensional gauge theories engineered by M theory on a toric Calabi–Yau threefold. The problem is approached by studying framed 3d–5d

Aspects of 5d Seiberg-Witten theories on $$ {\mathbbm{S}}^1 $$

Abstract We study the infrared physics of 5d $$ \mathcal{N} $$ N = 1 Yang-Mills theories compactified on $$ {\mathbbm{S}}^1 $$ S 1 , with a view toward 4d and 5d limits. Global structures

Quantum K-theory of toric varieties, level structures, and 3d mirror symmetry

On phases of 3d N=2 Chern-Simons-matter theories

Singular BPS boundary conditions in N = (2, 2) supersymmetric gauge theories

We derive general BPS boundary conditions in two-dimensional N = (2, 2) supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the

Intersecting surface defects and 3d superconformal indices

We compute the 3d $$ \mathcal{N} $$ = 2 superconformal indices for 3d/1d coupled systems, which arise as the worldvolume theories of intersecting surface defects engineered by Higgsing 5d $$

Gamma function solutions to the star-triangle equation

Gapped Chiral Fermions

In principle, there is no obstacle to gapping fermions preserving any global symmetry that does not suffer a 't Hooft anomaly. In practice, preserving a symmetry that is realised on fermions in a

References

SHOWING 1-10 OF 70 REFERENCES

Duality of the Fermionic 2d Black Hole and N = 2 Liouville Theory as Mirror Symmetry

We prove the equivalence of the SL(2, R)/U(1) Kazama-Suzuki model, which is a fermionic generalization of the 2d Black Hole, and N = 2 Liouville theory. We show that this duality is an example of

Mirror Symmetry

We prove mirror symmetry for supersymmetric sigma models on Kahler manifolds in 1+1 dimensions. The proof involves establishing the equivalence of the gauged linear sigma model, embedded in a theory

3d dualities from 4d dualities

A bstractMany 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, two

On Mirror Symmetry in Three Dimensional Abelian Gauge Theories

We present an identity relating the partition function of N = 4 supersymmetric QED to that of its dual under mirror symmetry. The identity is a generalized Fourier transform. Many known properties of

Some Comments On String Dynamics

Three subjects are considered here: a self-dual non-critical string that appears in Type IIB superstring theory at points in ${\rm K3}$ moduli space where the Type IIA theory has extended gauge

Mirror symmetry and toric geometry in three-dimensional gauge theories

We study three dimensional gauge theories with = 2 supersymmetry. We show that the Coulomb branches of such theories may be rendered compact by the dynamical generation of Chern-Simons terms and

Partition Functions of $${\mathcal{N}=(2,2)}$$N=(2,2) Gauge Theories on S2 and Vortices

We apply localization techniques to compute the partition function of a two-dimensional $${\mathcal{N}=(2,2)}$$N=(2,2) R-symmetric theory of vector and chiral multiplets on S2. The path integral

Bethe/gauge correspondence on curved spaces

A bstractBethe/gauge correspondence identifies supersymmetric vacua of massive gauge theories invariant under the two dimensional N$$ \mathcal{N} $$ = 2 Poincare supersymmetry with the stationary

Aspects of 3d $ \mathcal{N}=2 $ Chern-Simons-Matter theories

A bstractWe comment on various aspects of the the dynamics of 3d $ \mathcal{N}=2 $ Chern-Simons gauge theories and their possible phases. Depending on the matter content, real masses and FI

Comments on 3d Seiberg-like dualities

We study Seiberg-like dualities in three dimensional $ \mathcal{N} = 2 $ supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point
...