New Perspectives in Mathematical Physics and Its Related Topic

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 1 February 2025 | Viewed by 45

Special Issue Editor


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Guest Editor
School of Physics, Southeast University, Nanjing, China
Interests: theoretical high energy physics; quantum field theory; supersymmetry; string; non-perturbative corrections; resurgence

Special Issue Information

Dear Colleagues,

At the intersection of physics and mathematics, the field of mathematical physics has a long and fruitful history. Now, more than ever, the synergy between physics and mathematics has been strong and vibrant. On the one hand, the quest by physicists to find the fundamental laws of nature leads to the formulation of quantum field theory, and despite its success in explaining experimental data, it has been widely recognized the QFT is far from being fully understood and its better understanding requires making use of more sophisticated and cutting-edge mathematics. On the other hand, ideas from physics, such as QFT or string theory, have been sources of great inspiration for mathematicians, leading to solution of long-standing problems and the creation of brand new fields. We would like to provide a platform to present recent developments and new perspectives in mathematical physics and its related topics, from the foundation of quantum field theory to the geometrization of QFTs via string theory, as well as their relations to number theory and low-dimension topology.

This Special Issue will address the following non-exhaustive list of topics: axiomatic QFT; generalized symmetry; SymTFTs; topological modular forms; vertex operator algebras; defects; BPS invariants; BPS algebras; Donaldson–Thomas invariants; exponential network; categorical wall-crossing formulae; the resurgence in QFT and string; Gromov–Witten theory; arithmetic aspects of Calabi–Yau threefolds; modularity of partition function; SCFTs in various dimenions; Donaldson–Witten theory; complex Chern–Simons theory; Teichmuller TQFT; AGT correspondence; BPS/CFT correspondence; 3d-3d correspondence; etc.

We hope that this initiative will be attractive to experts in the field of mathematical physics. We encourage you to submit your current research so it can be included in this Special Issue.

Dr. Jie Gu
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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Keywords

  • quantum field theory
  • string theory
  • geometric engineering
  • low-dimension topology
  • number theory

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Published Papers

This special issue is now open for submission.
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