A nonperturbative superpotential with E8-symmetry

Ron Donagi; Antonella Grassi; Edward Witten

doi:10.1142/S0217732396002198

A nonperturbative superpotential with E₈-symmetry

Ron Donagi, Antonella Grassi, Edward Witten

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

56 Scopus citations

Abstract

We compute the nonperturbative superpotential in F-theory compactification to four dimensions on a complex threefold P¹ × S, where S is a rational elliptic surface. In contrast to examples considered previously, the superpotential in this case has interesting modular properties; it is essentially an E₈ theta function.

Original language	English (US)
Pages (from-to)	2199-2211
Number of pages	13
Journal	Modern Physics Letters A
Volume	11
Issue number	27
DOIs	https://doi.org/10.1142/S0217732396002198
State	Published - 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Astronomy and Astrophysics
General Physics and Astronomy

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10.1142/S0217732396002198

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title = "A nonperturbative superpotential with E8-symmetry",

abstract = "We compute the nonperturbative superpotential in F-theory compactification to four dimensions on a complex threefold P1 × S, where S is a rational elliptic surface. In contrast to examples considered previously, the superpotential in this case has interesting modular properties; it is essentially an E8 theta function.",

author = "Ron Donagi and Antonella Grassi and Edward Witten",

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AU - Donagi, Ron

AU - Grassi, Antonella

AU - Witten, Edward

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N2 - We compute the nonperturbative superpotential in F-theory compactification to four dimensions on a complex threefold P1 × S, where S is a rational elliptic surface. In contrast to examples considered previously, the superpotential in this case has interesting modular properties; it is essentially an E8 theta function.

AB - We compute the nonperturbative superpotential in F-theory compactification to four dimensions on a complex threefold P1 × S, where S is a rational elliptic surface. In contrast to examples considered previously, the superpotential in this case has interesting modular properties; it is essentially an E8 theta function.

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U2 - 10.1142/S0217732396002198

DO - 10.1142/S0217732396002198

M3 - Article

AN - SCOPUS:0000692462

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VL - 11

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EP - 2211

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 27

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A nonperturbative superpotential with E₈-symmetry

Abstract

All Science Journal Classification (ASJC) codes

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