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TASI lectures on the mathematics of string dualities

Abstract:

In these lecture proceedings, we describe some of the fundamental mathematical concepts that underlie supersymmetric string theory and field theory, and their role in describing and testing dualities. We provide a pedagogical introduction to topological and holomorphic twisting, descent, and higher algebraic structures. Our primary examples are worldsheet theories of topological strings, namely the A- and B-models, which we briefly review. These proceedings are based on lectures given by the second author at TASI 2021.

Publication status:
Published
Peer review status:
Reviewed (other)

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Publisher copy:
10.22323/1.403.0007

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-4646-2599


Publisher:
Sissa Medialab Srl
Host title:
Theoretical Advanced Study Institute 2021 (TASI2021)
Article number:
007
Series:
PoS - Proceedings of Science
Series number:
403
Place of publication:
Trieste, Italy
Publication date:
2023-05-24
Event title:
Theoretical Advanced Study Institute 2021 (TASI 2021)
Event location:
Boulder, CO, USA
Event website:
https://sites.google.com/colorado.edu/tasi-2021-wiki/home
Event start date:
2021-06-07
Event end date:
2021-07-02
DOI:
EISSN:
1824-8039


Language:
English
Pubs id:
2038001
Local pid:
pubs:2038001
Deposit date:
2025-09-26

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