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most citedNotes on the K3 Surface and the Mathieu group M_24

265 citations · 2.4k across the 53 of their papers we have counts for

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hep-th2016

Professor Nambu, String Theory and Moonshine Phenomenon

Tohru Eguchi

I first recall the last occasion of meeting the late Professor Yoichiro Nambu in a hospital in Osaka. I then present a brief introduction to the moonshine phenomenon in string theo…

hep-th2016★ 4 cited

Duality in N=4 Liouville Theory and Moonshine Phenomena

Tohru Eguchi, Yuji Sugawara

We consider the Liouville theory by varying the linear dilaton coupling constant . It is known that at two different values of coupling constant ${\cal Q}=\sq…

hep-th2014★ 7 cited

Compact Formulas for the Completed Mock Modular Forms

Tohru Eguchi, Yuji Sugawara

In this paper we present a new compact expression of the elliptic genus of SL(2)/U(1)-supercoset theory by making use of the `spectral flow method' of the path-integral evaluation.…

hep-th2013★ 6 cited

Enriques moonshine

Tohru Eguchi, Kazuhiro Hikami

We propose a new moonshine phenomenon associated with the elliptic genus of the Enriques surface (1/2 of the elliptic genus of K3) with the symmetry group given by the Mathieu grou…

hep-th2011★ 5 cited

Twisted elliptic genus for K3 and Borcherds product

Tohru Eguchi, Kazuhiro Hikami

We further discuss the relation between the elliptic genus of K3 surface and the Mathieu group M24. We find that some of the twisted elliptic genera for K3 surface, defined for con…

hep-th2010★ 52 cited

Non-holomorphic Modular Forms and SL(2,R)/U(1) Superconformal Field Theory

Tohru Eguchi, Yuji Sugawara

We study the torus partition function of the SL(2,R)/U(1) SUSY gauged WZW model coupled to N=2 U(1) current. Starting from the path-integral formulation of the theory, we introduce…