Noncommutative Instantons in Diverse Dimensions
Richard J. Szabo, Michelangelo Tirelli
TL;DR
This paper reviews noncommutative instantons across multiple dimensions, focusing on their string theory realizations, geometric interpretations, and roles in enumerative geometry of toric varieties.
Contribution
It provides a comprehensive overview of noncommutative instantons in various dimensions, highlighting their geometric and string theory aspects.
Findings
Noncommutative instantons are realized in type II string theory.
They have geometric interpretations related to toric varieties.
Applications include enumerative geometry of non-compact spaces.
Abstract
This is a mini-review about generalized instantons of noncommutative gauge theories in dimensions 4, 6 and 8, with emphasis on their realizations in type II string theory, their geometric interpretations, and their applications to the enumerative geometry of non-compact toric varieties.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Advanced Algebra and Geometry