ENGLISH

Topological Strings and Quantum Curves

By Lotte Hollands

Book information

Publisher
Pallas Publications
Year
2009
ISBN
9085550203, 9789085550204
Language
english
Format
PDF
Filesize
7 MB (7611186 bytes)
Series
Pallas Proefschriften
Pages
309\309
Scanned
yes
Time added
2010-05-31 15:29:46

Description

This thesis presents several new insights on the interface between mathematics and theoretical physics, with a central role for Riemann surfaces. First of all, the duality between Vafa-Witten theory and WZW models is embedded in string theory. Secondly, this model is generalized to a web of dualities connecting topological string theory and N=2 supersymmetric gauge theories to a configuration of D-branes that intersect over a Riemann surface. This description yields a new perspective on topological string theory in terms of a KP integrable system based on a quantum curve. Thirdly, this thesis describes a geometric analysis of wall-crossing in N=4 string theory. And lastly, it offers a novel approach to constuct metastable vacua in type IIB string theory.

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