star-Cohomology, Connes-Chern Characters, and Anomalies in General Translation-Invariant Noncommutative Yang-Mills

2021/01/26 by Amir Abbass Varshovi, Varshovi, Amir Abbass
Physics and Astronomy · Mathematics · #Noncommutative and Quantum Gravity Theories #Algebraic structures and combinatorial models #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.2101.10594

Abstract

Topological structure of translation-invariant noncommutative Yang-Mills theories are studied by means of a cohomology theory, so called star-cohomology, which plays an intermediate role between de Rham and cyclic (co)homology theory for noncommutative algebras and gives rise to a cohomological formulation comparable to Seiberg-Witten map.

Related

• star-Cohomology, Third Type Chern Character and Anomalies in General Translation-Invariant Noncommutative Yang-Mills
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• Groenewold-Moyal Product, α^⋆-Cohomology, and Classification of Translation-Invariant Non-Commutative Structures
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