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Trieste lectures on mirror symmetry. (English) Zbl 1069.81562
Bachas, C. (ed.) et al., 2002 spring school on superstrings and related matters, Trieste, Italy, March 18–26, 2002. Proceedings. Trieste: ICTP - The Abdus Salam International Centre for Theoretical Physics (ISBN 92-95003-19-5/pbk). ICTP Lecture Notes 13, 109-202 (2003).
Summary: These are pedagogical lectures on mirror symmetry given at the Spring School in ICTP, Trieste, March 2002. The focus is placed on worldsheet descriptions of the physics related to mirror symmetry. We start with the introduction to general aspects of \((2,2)\) supersymmetric field theories in \(1+1\) dimensions. We next move on to the study and applications of linear sigma model. Finally, we provide a proof of mirror symmetry in a class of models.
For the entire collection see [Zbl 1047.81001].

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
81T10 Model quantum field theories
81R12 Groups and algebras in quantum theory and relations with integrable systems
46S60 Functional analysis on superspaces (supermanifolds) or graded spaces
81R25 Spinor and twistor methods applied to problems in quantum theory
32L25 Twistor theory, double fibrations (complex-analytic aspects)
83E30 String and superstring theories in gravitational theory
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
32Q15 Kähler manifolds
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