\(\star\)-cohomology, Connes-Chern characters, and anomalies in general translation-invariant noncommutative Yang-Mills

DOI10.1016/S0034-4877(20)30069-0zbMath1451.81328arXiv2101.10594OpenAlexW3096022894MaRDI QIDQ2210552

Amir Abbass Varshovi

Publication date: 7 November 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.10594

zbMATH Keywords

Chern characterspectral tripleConnes-Chern characternoncommutative Yang-MillsBRSTfamily index theorytopological anomalytranslation-invariant star product

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Anomalies in quantum field theory (81T50) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Motivic cohomology; motivic homotopy theory (14F42) Riemann-Roch theorems, Chern characters (19L10)

Related Items (2)

Covariant star product on semi-conformally flat noncommutative Calabi–Yau manifolds and noncommutative topological index theorem ⋮ ⋆-cohomology, third type Chern character and anomalies in general translation-invariant noncommutative Yang–Mills

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-commutative differential geometry
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• Transgression and the Chern character of finite-dimensional K-cycles
• Descent equations of Yang-Mills anomalies in noncommutative geometry
• BRS cohomology and the Chern character in noncommutative geometry
• String theory and noncommutative geometry
• \(\alpha^\ast\)-cohomology, and classification of translation-invariant non-commutative quantum field theories
• Consistent anomalies in translation-invariant noncommutative gauge theories
• Noncommutative Geometry and Physics 4
• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• Dirac operators coupled to vector potentials
• Lie Groups, Lie Algebras, and Representations
• ON THE ANOMALIES AND SCHWINGER TERMS IN NONCOMMUTATIVE GAUGE THEORIES
• Basic noncommutative geometry
• Rational homotopy theory and differential forms
• A note on consistent anomalies in noncommutative YM theories.
• Chiral anomalies in noncommutative YM theories

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