265 citations · 2.4k across the 53 of their papers we have counts for
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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…
Note on Twisted Elliptic Genus of K3 Surface
Tohru Eguchi, Kazuhiro Hikami
We discuss the possibility of Mathieu group M24 acting as symmetry group on the K3 elliptic genus as proposed recently by Ooguri, Tachikawa and one of the present authors. One way…
Seiberg-Witten theory, matrix model and AGT relation
Tohru Eguchi, Kazunobu Maruyoshi
We discuss the Penner-type matrix model which has been proposed to explain the AGT relation between the 2-dimensional Liouville theory and 4-dimensional N=2 superconformal gauge th…
Notes on the K3 Surface and the Mathieu group M_24
Tohru Eguchi, Hirosi Ooguri, Yuji Tachikawa
We point out that the elliptic genus of the K3 surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group M_24. The reas…
N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds
Tohru Eguchi, Kazuhiro Hikami
We use the representation theory of N=2 superconformal algebra to study the elliptic genera of Calabi-Yau (CY) D-folds. We compute the entropy of CY manifolds from the growth rate…