Refined Topological Vertex, Cylindric Partitions and the U1 Adjoint Theory - High Energy Physics - TheoryReportar como inadecuado




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Abstract: We study the partition function of the compactified 5D U1 gauge theory inthe Omega-background with a single adjoint hypermultiplet, calculated usingthe refined topological vertex. We show that this partition function is anexample a periodic Schur process and is a refinement of the generating functionof cylindric plane partitions. The size of the cylinder is given by the mass ofadjoint hypermultiplet and the parameters of the Omega-background. We also showthat this partition function can be written as a trace of operators which aregeneralizations of vertex operators studied by Carlsson and Okounkov. In thelast part of the paper we describe a way to obtain q,t identities using therefined topological vertex.



Autor: Amer Iqbal, Can Kozcaz, Khurram Shabbir

Fuente: https://arxiv.org/







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