ABCD of qq-characters

ABCD of qq-characters

A bstract The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d N = 1 pure Yang-Mills theories with BCD -type gauge groups, by focusing on the...

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Veröffentlicht in:The journal of high energy physics 2023-08, Vol.2023 (8), p.200-43, Article 200
Hauptverfasser: Nawata, Satoshi, Zhang, Kilar, Zhu, Rui-Dong
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Classical and Quantum Gravitation
Elementary Particles
Group theory
High energy physics
Localization
Nonperturbative Effects
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Groups
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetric Gauge Theory
t Hooft and Polyakov loops
Wilson
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Zusammenfassung:A bstract The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d N = 1 pure Yang-Mills theories with BCD -type gauge groups, by focusing on the unrefined limit. Using these expressions, we investigate the relationships among qq-characters of classical gauge groups. For SO( n ) gauge groups, we construct a quantum-toroidal-like algebra via the Ward-identity approach, which allows us to derive the qq-characters.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2023)200