Elliptic genera and the Landau-Ginzburg approach to N = 2 orbifolds

P. Di Francesco; O. Aharony; S. Yankielowicz

doi:10.1016/0550-3213(94)90463-4

Elliptic genera and the Landau-Ginzburg approach to N = 2 orbifolds

P. Di Francesco, O. Aharony, S. Yankielowicz

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

Abstract

We compute the elliptic genera of orbifolds associated with N = 2 superconformal theories which admit a Landau-Ginzburg description. The identification of the elliptic genera of the macroscopic Landau-Ginzburg orbifolds with those of the corresponding microscopic N = 2 orbifolds further supports the conjectured identification of these theories. For SU(N) Kazama-Suzuki models the orbifolds are associated with certain Z_p subgroups of the various coset factors. Based on our approach we also conjecture the existence of "E-type" variants of these theories, their elliptic genera and the corresponding Landau-Ginzburg potentials.

Original language	English (US)
Pages (from-to)	584-608
Number of pages	25
Journal	Nuclear Physics, Section B
Volume	411
Issue number	2-3
DOIs	https://doi.org/10.1016/0550-3213(94)90463-4
State	Published - Jan 10 1994
Externally published	Yes

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Nuclear and High Energy Physics

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10.1016/0550-3213(94)90463-4

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title = "Elliptic genera and the Landau-Ginzburg approach to N = 2 orbifolds",

abstract = "We compute the elliptic genera of orbifolds associated with N = 2 superconformal theories which admit a Landau-Ginzburg description. The identification of the elliptic genera of the macroscopic Landau-Ginzburg orbifolds with those of the corresponding microscopic N = 2 orbifolds further supports the conjectured identification of these theories. For SU(N) Kazama-Suzuki models the orbifolds are associated with certain Zp subgroups of the various coset factors. Based on our approach we also conjecture the existence of {"}E-type{"} variants of these theories, their elliptic genera and the corresponding Landau-Ginzburg potentials.",

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AU - Aharony, O.

AU - Yankielowicz, S.

N1 - Funding Information: * Laboratoire de Ia Direction des Sciences de Ia Matière du Commissariat a l’Energie Atomique. 1 Work supported in part by the Science Foundation and the Israel Academy of Sciences.

PY - 1994/1/10

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N2 - We compute the elliptic genera of orbifolds associated with N = 2 superconformal theories which admit a Landau-Ginzburg description. The identification of the elliptic genera of the macroscopic Landau-Ginzburg orbifolds with those of the corresponding microscopic N = 2 orbifolds further supports the conjectured identification of these theories. For SU(N) Kazama-Suzuki models the orbifolds are associated with certain Zp subgroups of the various coset factors. Based on our approach we also conjecture the existence of "E-type" variants of these theories, their elliptic genera and the corresponding Landau-Ginzburg potentials.

AB - We compute the elliptic genera of orbifolds associated with N = 2 superconformal theories which admit a Landau-Ginzburg description. The identification of the elliptic genera of the macroscopic Landau-Ginzburg orbifolds with those of the corresponding microscopic N = 2 orbifolds further supports the conjectured identification of these theories. For SU(N) Kazama-Suzuki models the orbifolds are associated with certain Zp subgroups of the various coset factors. Based on our approach we also conjecture the existence of "E-type" variants of these theories, their elliptic genera and the corresponding Landau-Ginzburg potentials.

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Elliptic genera and the Landau-Ginzburg approach to N = 2 orbifolds

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