Reading between the lines of four-dimensional gauge theories
A bstract Starting with a choice of a gauge group in four dimensions, there is often freedom
in the choice of magnetic and dyonic line operators. Different consistent choices of these …
in the choice of magnetic and dyonic line operators. Different consistent choices of these …
A slow review of the AGT correspondence
B Le Floch - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …
Gauge theories labelled by three-manifolds
T Dimofte, D Gaiotto, S Gukov - Communications in Mathematical Physics, 2014 - Springer
We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-
dimensional N= 2 N= 2 gauge theories. Under this duality, standard operations on …
dimensional N= 2 N= 2 gauge theories. Under this duality, standard operations on …
Loop and surface operators in gauge theory and Liouville modular geometry
Recently, a duality between Liouville theory and four dimensional\(\mathcal {N}= 2\) gauge
theory has been uncovered by some of the authors. We consider the role of extended …
theory has been uncovered by some of the authors. We consider the role of extended …
Framed BPS states
D Gaiotto, GW Moore, A Neitzke - 2013 - projecteuclid.org
We consider a class of line operators in d=4,N=2 supersymmetric field theories, which leave
four supersymmetries unbroken. Such line operators support a new class of BPS states …
four supersymmetries unbroken. Such line operators support a new class of BPS states …
1-form symmetries of 4d N= 2 class S theories
We determine the 1-form symmetry group for any 4d N= 2 class S theory constructed by
compactifying a 6d N=(2, 0) SCFT on a Riemann surface with arbitrary regular untwisted and …
compactifying a 6d N=(2, 0) SCFT on a Riemann surface with arbitrary regular untwisted and …
The omega deformation, branes, integrability and Liouville theory
N Nekrasov, E Witten - Journal of High Energy Physics, 2010 - Springer
We reformulate the Ω-deformation of four-dimensional gauge theory in a way that is valid
away from fixed points of the associated group action. We use this reformulation together …
away from fixed points of the associated group action. We use this reformulation together …
Nekrasov functions and exact Bohr-Sommerfeld integrals
A Mironov, A Morozov - Journal of High Energy Physics, 2010 - Springer
In the case of SU (2), associated by the AGT relation to the 2d Liouville theory, the Seiberg-
Witten prepotential is constructed from the Bohr-Sommerfeld periods of 1d sine-Gordon …
Witten prepotential is constructed from the Bohr-Sommerfeld periods of 1d sine-Gordon …
Classifying superconformal defects in diverse dimensions part I: superconformal lines
NB Agmon, Y Wang - arxiv preprint arxiv:2009.06650, 2020 - arxiv.org
We initiate the classification of unitary superconformal defects in unitary superconformal field
theories (SCFT) of diverse spacetime dimensions $3\leq d\leq 6$. Our method explores …
theories (SCFT) of diverse spacetime dimensions $3\leq d\leq 6$. Our method explores …
On the Defect Group of a 6D SCFT
We use the F-theory realization of 6D superconformal field theories (SCFTs) to study the
corresponding spectrum of stringlike, ie, surface defects. On the tensor branch, all of the …
corresponding spectrum of stringlike, ie, surface defects. On the tensor branch, all of the …