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T-Duality and the Signature of 4-Dimensional Spacetime
T-Duality and the Signature of 4-Dimensional Spacetime
Dissertation

T-Duality and the Signature of 4-Dimensional Spacetime

2023
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Overview
This thesis is centered around the study of geometric aspects of string theory and supergravity. We will focus on N = 2, D= 4 supergravity theories in arbitrary spacetime signature. We will obtain these supergravity theories as Calabi-Yau compactifications of Hull’s exotic Type II theories. In ten dimensions these theories are related to each other via T-duality and S-duality. We will obtain the four dimensional duality web of theories as a projection of the ten-dimensional one. Moreover the T-duality relations between theories define maps, from the vectormultiplet geometries to the hypermultiplet geometries, called c-maps, which will be characterized and classified.We will then turn to the study of solutions of such theories. We will be interested in non-extremal black hole and cosmological solutions exhibiting planar symmetry. Such solutions will be T-dualized and we will interpret their behavior once embedded in string theory.