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A Panorama Of Physical Mathematics c. 2022

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arxiv 2211.04467 v3 pith:H7VJNHFC submitted 2022-11-08 hep-th cond-mat.str-elmath-phmath.MP

classification hep-thcond-mat.str-elmath-phmath.MP
keywords mathematicsphysicalsometheorybroad-brushdevelopmentdirectionsdiscussion
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What follows is a broad-brush overview of the recent synergistic interactions between mathematics and theoretical physics of quantum field theory and string theory. The discussion is forward-looking, suggesting potentially useful and fruitful directions and problems, some old, some new, for further development of the subject. This paper is a much extended version of the Snowmass whitepaper on physical mathematics [1].

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Cited by 1 Pith paper

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  1. $q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence

    math-ph 2024-12 conditional novelty 4.0 of 10

    Z-hat three-manifold invariants are shown to depend only on the Lie algebra, and a quiver matrix block structure is conjectured for double twist knots.

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