Superconformal algebras and mock theta functions 2: Rademacher expansion for K3 surface

Tohru Eguchi; Kazuhiro Hikami

doi:10.4310/CNTP.2009.v3.n3.a4

Superconformal algebras and mock theta functions 2: Rademacher expansion for K3 surface

Tohru Eguchi, Kazuhiro Hikami

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

The elliptic genera of the K3 surfaces, both compact and noncompact cases, are studied by using the theory of mock theta functions. We decompose the elliptic genus in terms of the N = 4 superconformal characters at level-1, and present an exact formula for the coefficients of the massive (non-BPS) representations using Poincaŕe-Maass series.

Original language	English
Pages (from-to)	531-554
Number of pages	24
Journal	Communications in Number Theory and Physics
Volume	3
Issue number	3
DOIs	https://doi.org/10.4310/CNTP.2009.v3.n3.a4
Publication status	Published - Sept 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Mathematical Physics
Physics and Astronomy(all)

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10.4310/CNTP.2009.v3.n3.a4

Cite this

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abstract = "The elliptic genera of the K3 surfaces, both compact and noncompact cases, are studied by using the theory of mock theta functions. We decompose the elliptic genus in terms of the N = 4 superconformal characters at level-1, and present an exact formula for the coefficients of the massive (non-BPS) representations using Poinca{\'r}e-Maass series.",

author = "Tohru Eguchi and Kazuhiro Hikami",

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AB - The elliptic genera of the K3 surfaces, both compact and noncompact cases, are studied by using the theory of mock theta functions. We decompose the elliptic genus in terms of the N = 4 superconformal characters at level-1, and present an exact formula for the coefficients of the massive (non-BPS) representations using Poincaŕe-Maass series.

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Superconformal algebras and mock theta functions 2: Rademacher expansion for K3 surface

Abstract

All Science Journal Classification (ASJC) codes

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