Topological Strings and Quantum Curves - High Energy Physics - TheoryReport as inadecuate

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Abstract: This thesis presents several new insights on the interface betweenmathematics and theoretical physics, with a central role for fermions onRiemann surfaces. First of all, the duality between Vafa-Witten theory and WZWmodels is embedded into string theory. Secondly, this model is generalized to aweb of dualities connecting topological string theory and N=2 supersymmetricgauge theories to a configuration of D-branes that intersect over a Riemannsurface. This description yields a new perspective on topological string theoryin terms of a KP integrable system based on a quantum curve. Thirdly, thisthesis describes a geometric analysis of wall-crossing in N=4 string theory.And lastly, it offers a novel approach to construct metastable vacua in typeIIB string theory.

Author: Lotte Hollands



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