TY - JOUR
T1 - Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II
AU - Braverman, Alexander
AU - Finkelberg, Michael
AU - Nakajima, Hiraku
N1 - Publisher Copyright:
© 2018. All Rights Reserved.
PY - 2018
Y1 - 2018
N2 - Consider the 3-dimensional N = 4 supersymmetric gauge theory associated with a compact Lie group Gc and its quaternionic representation M. Physicists study its Coulomb branch, which is a noncompact hyper-Kahler manifold with an SU(2)-action, possibly with singularities. We give a mathematical definition of the Coulomb branch as an affine algebraic variety with (Formula presented)x-action when M is of a form N (Formula presented) N*, as the second step of the proposal given in [Nak16].
AB - Consider the 3-dimensional N = 4 supersymmetric gauge theory associated with a compact Lie group Gc and its quaternionic representation M. Physicists study its Coulomb branch, which is a noncompact hyper-Kahler manifold with an SU(2)-action, possibly with singularities. We give a mathematical definition of the Coulomb branch as an affine algebraic variety with (Formula presented)x-action when M is of a form N (Formula presented) N*, as the second step of the proposal given in [Nak16].
UR - https://www.scopus.com/pages/publications/85073233173
U2 - 10.4310/ATMP.2018.V22.N5.A1
DO - 10.4310/ATMP.2018.V22.N5.A1
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AN - SCOPUS:85073233173
SN - 1095-0761
VL - 22
SP - 1071
EP - 1147
JO - Advances in Theoretical and Mathematical Physics
JF - Advances in Theoretical and Mathematical Physics
IS - 5
ER -