Mathematical String Theory
Calabi–Yau compactifications, vertex algebras, and topological strings.
Mathematical String Theory. Calabi–Yau compactifications, vertex algebras, and topological strings.
Foundations and canonical references
The standard treatments of mathematical string theory approach the subject from complementary angles. Hori, Mirror Symmetry (2003) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Becker, String Theory and M-Theory: A Modern Introduction (2007) offers an alternative presentation that complements the primary references and is useful for triangulating definitions and proof techniques.
Open methodological questions for mathematical string theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2003Mirror Symmetryhori-2003, katz-2003, klemm-2003, pandharipande-2003, thomas-2003, vafa-2003, vakil-2003, zaslow-2003
- textbook · supporting · 2007String Theory and M-Theory: A Modern Introductionbecker-2007, becker-melanie-2007, schwarz-2007
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