scholarly journals Monopole Operators in 𝓝 = 4 Chern-Simons Theories and Wrapped M2-Branes

2009 ◽  
Vol 121 (6) ◽  
pp. 1173-1187 ◽  
Author(s):  
Yosuke Imamura
Keyword(s):  
Monopole Operators ◽  
Chern Simons

scholarly journals M2-BRANES AND AdS/CFT

2010 ◽  
Vol 25 (02n03) ◽  
pp. 332-350 ◽  
Author(s):  
IGOR R. KLEBANOV
Keyword(s):  
Abjm Theory ◽  
Dual Formulation ◽  
Matter Theory ◽  
Monopole Operators ◽  
M Theory ◽  
Chern Simons

We provide a brief introduction to the ABJM theory, the level kU(N) × U(N) superconformal Chern-Simons matter theory which has been conjectured to describe N coincident M2 -branes. We discuss its dual formulation in terms of M -theory on AdS4 × S7/ℤk and review some of the evidence in favor of the conjecture. We end with a brief discussion of the important role played by the monopole operators.

scholarly journals On monopole operators in supersymmetric Chern-Simons-matter theories

2015 ◽  
Vol 2015 (5) ◽  
Author(s):  
Ofer Aharony ◽  
Prithvi Narayan ◽  
Tarun Sharma
Keyword(s):  
Monopole Operators ◽  
Chern Simons

scholarly journals Tests of Seiberg-like dualities in three dimensions

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Anton Kapustin ◽  
Brian Willett ◽  
Itamar Yaakov
Keyword(s):  
Gauge Theories ◽  
Three Dimensions ◽  
Simons Theory ◽  
Partition Functions ◽  
Seiberg Duality ◽  
Monopole Operators ◽  
Real Mass ◽  
Supersymmetric Gauge ◽  
The Relationship ◽  
Chern Simons

Abstract We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI parameters. We find that Seiberg-like duality for $$ \mathcal{N} $$ N = 3 Chern-Simons gauge theories proposed by Giveon and Kutasov holds on the level of partition functions and is closely related to level-rank duality in pure Chern-Simons theory. We also clarify the relationship between the Giveon-Kutasov duality and a duality in theories of fractional M2 branes and propose a generalization of the latter. Our analysis also confirms previously known results concerning decoupled free sectors in $$ \mathcal{N} $$ N = 4 gauge theories realized by monopole operators.

scholarly journals Semi-classical monopole operators in Chern-Simons-matter theories

2017 ◽  
Vol 71 (10) ◽  
pp. 608-627 ◽  
Author(s):  
Hee-Cheol Kim ◽  
Seok Kim
Keyword(s):  
Monopole Operators ◽  
Chern Simons

scholarly journals Charges of monopole operators in Chern-Simons Yang-Mills theory

2010 ◽  
Vol 2010 (1) ◽  
Author(s):  
Marcus K. Benna ◽  
Igor R. Klebanov ◽  
Thomas Klose
Keyword(s):  
Yang Mills ◽  
Monopole Operators ◽  
Chern Simons

scholarly journals Monopole operators in U(1) Chern-Simons-matter theories

2018 ◽  
Vol 2018 (5) ◽  
Author(s):  
Shai M. Chester ◽  
Luca V. Iliesiu ◽  
Márk Mezei ◽  
Silviu S. Pufu
Keyword(s):  
Monopole Operators ◽  
Chern Simons

scholarly journals Anomalous dimensions of monopole operators in scalar QED3 with Chern-Simons term

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Shai M. Chester
Keyword(s):  
Fixed Point ◽  
Topological Charge ◽  
The State ◽  
Leading Order ◽  
State Operator ◽  
Anomalous Dimensions ◽  
Monopole Operators ◽  
Chern Simons ◽  
Scaling Dimension

Abstract We study monopole operators with the lowest possible topological charge q = 1/2 at the infrared fixed point of scalar electrodynamics in 2 + 1 dimension (scalar QED3) with N complex scalars and Chern-Simons coupling |k| = N. In the large N expansion, monopole operators in this theory with spins $$ \mathrm{\ell}<O\left(\sqrt{N}\right) $$ ℓ < O N and associated flavor representations are expected to have the same scaling dimension to sub-leading order in 1/N. We use the state-operator correspondence to calculate the scaling dimension to sub-leading order with the result N − 0.2743 + O(1/N), which improves on existing leading order results. We also compute the ℓ2/N term that breaks the degeneracy to sub-leading order for monopoles with spins $$ \mathrm{\ell}=O\left(\sqrt{N}\right) $$ ℓ = O N .

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