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- W4313303576 abstract "In this thesis we study string compactifications on manifolds equipped with a $G$-structure, placing a special emphasis on the interplay between geometry and physics. We follow two complementary approaches. In the first part of the thesis we adopt a sigma model perspective and focus on the worldsheet superconformal field theory. We consider compactifications on 7-dimensional Extra Twisted Connected Sum (ETCS) G$_2$ manifolds as well as 8-dimensional Generalized Connected Sum (GCS) Spin(7) manifolds. We find that the geometric construction is reproduced in the worldsheet algebra via a diamond of algebra inclusions. In the second part of the thesis we change gears and consider string compactifications from a supergravity point of view. In particular, we focus on compactifications of the heterotic string down to three spacetime dimensions preserving minimal supersymmetry $mathcal{N}=1$, which are described by the heterotic G$_2$ system. We construct new families of AdS$_3$ solutions to this system on homogeneous 3-Sasakian manifolds with squashed metrics." @default.
- W4313303576 created "2023-01-06" @default.
- W4313303576 creator A5074797932 @default.
- W4313303576 date "2022-12-28" @default.
- W4313303576 modified "2023-09-23" @default.
- W4313303576 title "The Geometry and Superconformal Algebras of String Compactifications with a $G$-structure" @default.
- W4313303576 doi "https://doi.org/10.48550/arxiv.2212.13781" @default.
- W4313303576 hasPublicationYear "2022" @default.
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