Date: Monday, February 04, 2019
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: The higher dimensional Amodel and generalized quantum cohomology
Abstract: We define and study a structure that can be associated to supersymmetric gauge theories in two or more spacetime dimensions. This is a generalization of the two dimensional Amodel, which is used to study gauged linear sigma models, and defines the equivariant quantum cohomology ring on the lowenergy target spaces. The three and fourdimensional generalizations give rise, respectively, to a trigonometric and elliptic generalization of this construction. These rings naturally describe the fusion of Wilson loop operators in three dimensional theories, generalizing the Verlinde algebra in ChernSimons theory, and surface operators in four dimensional theories. Using this structure one may also construct the partition function on general three and four dimensional Seifert manifolds. All of these structures obey interesting relations under supersymmetric dualities, and have connections to the integrable systems through the gaugeBethe correspondence.
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Speaker: Brian Willett
Institution: KITPSanta Babara
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