Abstract
We propose a construction of the quantum-corrected Coulomb branch of a general 3d gauge theory with N=4 supersymmetry, in terms of local coordinates associated with an abelianized theory. In a fixed complex structure, the holomorphic functions on the Coulomb branch are given by expectation values of chiral monopole operators. We construct the chiral ring of such operators, using equivariant integration over BPS moduli spaces. We also quantize the chiral ring, which corresponds to placing the 3d theory in a 2d Omega background. Then, by unifying all complex structures in a twistor space, we encode the full hyperkähler metric on the Coulomb branch. We verify our proposals in a multitude of examples, including SQCD and linear quiver gauge theories, whose Coulomb branches have alternative descriptions as solutions to the Bogomolnyi and/or Nahm equations.
Original language | English |
---|---|
Pages (from-to) | 671–751 |
Number of pages | 81 |
Journal | Communications in Mathematical Physics |
Volume | 354 |
Issue number | 2 |
Early online date | 3 Jun 2017 |
DOIs | |
Publication status | Published - 30 Sep 2017 |
Fingerprint
Dive into the research topics of 'The Coulomb Branch of 3d N=4 Theories'. Together they form a unique fingerprint.Profiles
-
Tudor Dimofte
- School of Mathematics - Reader in Algebra, Geometry & Topology and related fields
Person: Academic: Research Active (Teaching)