Abstract:
In this talk, I will discuss various aspects of tetrahedron instantons. Tetrahedron instantons can be realized using D0-branes probing a system of intersecting D6-branes in type IIA superstring theory, and can be viewed as聽particular solutions of general instanton equations in noncommutative field theory.聽The tetrahedron instanton partition function聽lies between the higher-rank Donaldson-Thomas invariants on Calabi-Yau threefolds and fourfolds, and聽can be computed exactly.聽Remarkably, the K-theoretic tetrahedron instanton partition function allows an interpretation in terms of the index of M-theory on a noncompact Calabi-Yau fivefold which is related to a superposition of Kaluza-Klein monopoles.聽
- Arrangør: Centre for Quantum Mathematics
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