King's College London

Research portal

BPS Wilson loops and quiver varieties

Research output: Contribution to journalArticlepeer-review

Standard

BPS Wilson loops and quiver varieties. / Drukker, Nadav.

In: Journal Of Physics A-Mathematical And Theoretical, Vol. 53, No. 38, 385402, 25.09.2020.

Research output: Contribution to journalArticlepeer-review

Harvard

Drukker, N 2020, 'BPS Wilson loops and quiver varieties', Journal Of Physics A-Mathematical And Theoretical, vol. 53, no. 38, 385402. https://doi.org/10.1088/1751-8121/aba5bd

APA

Drukker, N. (2020). BPS Wilson loops and quiver varieties. Journal Of Physics A-Mathematical And Theoretical, 53(38), [385402]. https://doi.org/10.1088/1751-8121/aba5bd

Vancouver

Drukker N. BPS Wilson loops and quiver varieties. Journal Of Physics A-Mathematical And Theoretical. 2020 Sep 25;53(38). 385402. https://doi.org/10.1088/1751-8121/aba5bd

Author

Drukker, Nadav. / BPS Wilson loops and quiver varieties. In: Journal Of Physics A-Mathematical And Theoretical. 2020 ; Vol. 53, No. 38.

Bibtex Download

@article{50e63af413494a27867757b164f62b4c,
title = "BPS Wilson loops and quiver varieties",
abstract = "Three dimensional supersymmetric field theories have large moduli spaces of circular Wilson loops preserving a fixed set of supercharges. We simplify previous constructions of such Wilson loops and amend and clarify their classification. For a generic quiver gauge theory we identify the moduli space as a quotient of for some m by an appropriate symmetry group. These spaces are quiver varieties associated to a cover of the original quiver or a subquiver thereof. This moduli space is generically singular and at the singularities there are large degeneracies of operators which seem different, but whose expectation values and correlation functions with all other gauge invariant operators are identical. The formulation presented here, where the Wilson loops are on S 3 or squashed S3b also allows to directly implement a localization procedure on these observables, which previously required an indirect cohomological equivalence argument.",
keywords = "3D theories, Wilson loops, moduli spaces, supersymmetry",
author = "Nadav Drukker",
note = "20 pages, 8 figures, 1 appendix",
year = "2020",
month = sep,
day = "25",
doi = "10.1088/1751-8121/aba5bd",
language = "English",
volume = "53",
journal = "Journal Of Physics A-Mathematical And Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing",
number = "38",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - BPS Wilson loops and quiver varieties

AU - Drukker, Nadav

N1 - 20 pages, 8 figures, 1 appendix

PY - 2020/9/25

Y1 - 2020/9/25

N2 - Three dimensional supersymmetric field theories have large moduli spaces of circular Wilson loops preserving a fixed set of supercharges. We simplify previous constructions of such Wilson loops and amend and clarify their classification. For a generic quiver gauge theory we identify the moduli space as a quotient of for some m by an appropriate symmetry group. These spaces are quiver varieties associated to a cover of the original quiver or a subquiver thereof. This moduli space is generically singular and at the singularities there are large degeneracies of operators which seem different, but whose expectation values and correlation functions with all other gauge invariant operators are identical. The formulation presented here, where the Wilson loops are on S 3 or squashed S3b also allows to directly implement a localization procedure on these observables, which previously required an indirect cohomological equivalence argument.

AB - Three dimensional supersymmetric field theories have large moduli spaces of circular Wilson loops preserving a fixed set of supercharges. We simplify previous constructions of such Wilson loops and amend and clarify their classification. For a generic quiver gauge theory we identify the moduli space as a quotient of for some m by an appropriate symmetry group. These spaces are quiver varieties associated to a cover of the original quiver or a subquiver thereof. This moduli space is generically singular and at the singularities there are large degeneracies of operators which seem different, but whose expectation values and correlation functions with all other gauge invariant operators are identical. The formulation presented here, where the Wilson loops are on S 3 or squashed S3b also allows to directly implement a localization procedure on these observables, which previously required an indirect cohomological equivalence argument.

KW - 3D theories

KW - Wilson loops

KW - moduli spaces

KW - supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=85090405267&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/aba5bd

DO - 10.1088/1751-8121/aba5bd

M3 - Article

VL - 53

JO - Journal Of Physics A-Mathematical And Theoretical

JF - Journal Of Physics A-Mathematical And Theoretical

SN - 1751-8113

IS - 38

M1 - 385402

ER -

View graph of relations

© 2020 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454