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Why Do We Care about Mahler Measure in Physics?

In: Nankai Symposium on Mathematical Dialogues

Author

Listed:
  • Jiakang Bao

    (City, University of London, Department of Mathematics
    London Institute for Mathematical Sciences, Royal Institution)

Abstract

We give an overview on some recent developments of Mahler measure in supersymmetric gauge theories. It can be shown that maximization of Mahler measure for isoradial dimers is equivalent to a-maximization. This can be further generalized to non-isoradial cases by virtue of Seiberg duality. Mahler measure also enjoys nice properties under specular duality and hence encodes certain information of the master space. This is mainly based on the work [1].

Suggested Citation

  • Jiakang Bao, 2026. "Why Do We Care about Mahler Measure in Physics?," Springer Books, in: Yang-Hui He & Mo-Lin Ge & Cheng-Ming Bai & Jiakang Bao & Edward Hirst (ed.), Nankai Symposium on Mathematical Dialogues, pages 37-43, Springer.
    • Handle: RePEc:spr:sprchp:978-981-19-2328-9_5
    DOI: 10.1007/978-981-19-2328-9_5
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