Wilson surfaces in M5-branes

A bstract We study Wilson surface defects in 6d N = 2 0 superconformal field theories, engineered by semi-infinite M2-branes intersecting M5-branes. Two independent approaches are used to obtain the Wilson surface observables on the T 2 inside Ω-deformed R 4 × T 2 . One approach is to compute 5d N =...

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Bibliographic Details
Published in:The journal of high energy physics 2018-08, Vol.2018 (8), p.1-33, Article 119
Main Authors: Agarwal, Prarit, Kim, Joonho, Kim, Seok, Sciarappa, Antonio
Format: Article
Language:English
Subjects:
Brane Dynamics in Gauge Theories
Branes
Classical and Quantum Gravitation
Deformation
Duality in Gauge Field Theories
Elementary Particles
Field Theories in Higher Dimensions
High energy physics
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Representations
String Theory
Strings
Surface defects
Wilson, ’t Hooft and Polyakov loops
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Summary:A bstract We study Wilson surface defects in 6d N = 2 0 superconformal field theories, engineered by semi-infinite M2-branes intersecting M5-branes. Two independent approaches are used to obtain the Wilson surface observables on the T 2 inside Ω-deformed R 4 × T 2 . One approach is to compute 5d N = 1 * instanton partition functions in the presence of Wilson lines, where the instanton corrections capture the 6d Kaluza-Klein momentum modes. The other approach is to study the elliptic genera of 2d N = 0 4 gauge theories, which we propose as describing 6d self-dual strings in the presence of Wilson surface defects. We make a detailed comparison between these two independent computations, which precisely agree for Wilson surfaces in minuscule representations; for non-minuscule representations instead we only find partial agreement, due to technical problems which we comment about.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2018)119