TY - JOUR
T1 - Coulomb branch quantization and abelianized monopole bubbling
AU - Dedushenko, Mykola
AU - Fan, Yale
AU - Pufu, Silviu S.
AU - Yacoby, Ran
N1 - Publisher Copyright:
© 2019, The Author(s).
PY - 2019/10/1
Y1 - 2019/10/1
N2 - We develop an approach to the study of Coulomb branch operators in 3D N = 4 gauge theories and the associated quantization structure of their Coulomb branches. This structure is encoded in a one-dimensional TQFT subsector of the full 3D theory, which we describe by combining several techniques and ideas. The answer takes the form of an associative and noncommutative star product algebra on the Coulomb branch. For “good” and “ugly” theories (according to the Gaiotto-Witten classification), we also exhibit a trace map on this algebra, which allows for the computation of correlation functions and, in particular, guarantees that the star product satisfies a truncation condition. This work extends previous work on abelian theories to the non-abelian case by quantifying the monopole bubbling that describes screening of GNO boundary conditions. In our approach, monopole bubbling is determined from the algebraic consistency of the OPE. This also yields a physical proof of the Bullimore-Dimofte-Gaiotto abelianization description of the Coulomb branch.
AB - We develop an approach to the study of Coulomb branch operators in 3D N = 4 gauge theories and the associated quantization structure of their Coulomb branches. This structure is encoded in a one-dimensional TQFT subsector of the full 3D theory, which we describe by combining several techniques and ideas. The answer takes the form of an associative and noncommutative star product algebra on the Coulomb branch. For “good” and “ugly” theories (according to the Gaiotto-Witten classification), we also exhibit a trace map on this algebra, which allows for the computation of correlation functions and, in particular, guarantees that the star product satisfies a truncation condition. This work extends previous work on abelian theories to the non-abelian case by quantifying the monopole bubbling that describes screening of GNO boundary conditions. In our approach, monopole bubbling is determined from the algebraic consistency of the OPE. This also yields a physical proof of the Bullimore-Dimofte-Gaiotto abelianization description of the Coulomb branch.
KW - Extended Supersymmetry
KW - Solitons Monopoles and Instantons
KW - Supersymmetric Gauge Theory
KW - Supersymmetry and Duality
UR - http://www.scopus.com/inward/record.url?scp=85074170723&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85074170723&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2019)179
DO - 10.1007/JHEP10(2019)179
M3 - Article
AN - SCOPUS:85074170723
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 10
M1 - 179
ER -