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Geometric Partial Differential Equations from Unified String Theories

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arxiv 1906.03693 v1 pith:XOTTFRQ3 submitted 2019-06-09 math.AP math.CV

Duong H. Phong This is my paper · ORCID
classification math.APmath.CV
keywords equationsdifferentialpartialgeometricsomestringtheoriesahler
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An informal introduction to some new geometric partial differential equations motivated by string theories is provided. Some of these equations are also interesting from the point of view of non-K\"ahler geometry and the theory of non-linear partial differential equations. In particular, a survey is given of joint works of the author with Teng Fei, Bin Guo, Sebastien Picard, and Xiangwen Zhang.

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  1. The canonical symmetry reduction of string backgrounds

    math.DG 2025-11 conditional novelty 6.0 of 10

    A compact string background with nonvanishing canonical symmetry reduces to a transverse string generalized Ricci soliton that is conformally co-closed, with explicit torsion in SU(3), G2, and Spin(7).

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