Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


Special Issue on Moonshine and String Theory

The Guest Editors for this special issue are

Miranda C.N. Cheng (University of Amsterdam, The Netherlands)
John Duncan (Emory University, USA)
Shamit Kachru (Stanford University, USA)
Roberto Volpato (University of Padova, Italy and Stanford University, USA)


This special issue focusses on moonshine and related phenomenon, and related topics in string theory and mathematical physics.

The topics include:

  • mock modular forms and harmonic Maass forms;
  • string compactifications with symmetries;
  • vertex operator algebra and 2d CFT;
  • enumerative geometry;
  • arithmetic geometry;
  • 3D gravity.

There are no paper length limits to the submitted works. Deadline for the submission is September 30, 2018.

Submission Rules for Articles to the Issue.

Both original research articles and review papers will be considered (not published or considered for publication elsewhere).

All articles will go through the standard peer reviewing procedure of SIGMA.


Papers in this Issue:

Third Homology of some Sporadic Finite Groups
Theo Johnson-Freyd and David Treumann
SIGMA 15 (2019), 059, 38 pages   [ abs   pdf ]
Hecke Operators on Vector-Valued Modular Forms
Vincent Bouchard, Thomas Creutzig and Aniket Joshi
SIGMA 15 (2019), 041, 31 pages   [ abs   pdf ]
$p$-Adic Properties of Hauptmoduln with Applications to Moonshine
Ryan C. Chen, Samuel Marks and Matthew Tyler
SIGMA 15 (2019), 033, 35 pages   [ abs   pdf ]
A Self-Dual Integral Form of the Moonshine Module
Scott Carnahan
SIGMA 15 (2019), 030, 36 pages   [ abs   pdf ]
A Short Guide to Orbifold Deconstruction
Peter Bantay
SIGMA 15 (2019), 027, 10 pages   [ abs   pdf ]
Generalised Umbral Moonshine
Miranda C.N. Cheng, Paul de Lange and Daniel P.Z. Whalen
SIGMA 15 (2019), 014, 27 pages   [ abs   pdf ]
Supersingular Elliptic Curves and Moonshine
Victor Manuel Aricheta
SIGMA 15 (2019), 007, 17 pages   [ abs   pdf ]
$(2+)$-Replication and the Baby Monster
Chris Cummins and Rodrigo Matias
SIGMA 14 (2018), 060, 33 pages   [ abs   pdf ]
Categorical Tori
Nora Ganter
SIGMA 14 (2018), 014, 18 pages   [ abs   pdf ]


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