Modular invariance in supersymmetric field theories

S. Ferrara; D. Lüst; A. Shapere; S. Theisen

doi:10.1016/0370-2693(89)90583-2

Modular invariance in supersymmetric field theories

S. Ferrara, D. Lüst, A. Shapere, S. Theisen

Physics And Astronomy

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223 Scopus citations

Abstract

We show how duality invariance of the supergravity action restricts the Kähler potential and the superpotential and connects them to the theory of modular forms. This has relevance in string-induced supergravity for those scalar fields which are moduli of the underlying string compactification. We also discuss the restrictions imposed on globally supersymmetric theories.

Original language	English
Pages (from-to)	363-366
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	225
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(89)90583-2
State	Published - Jul 27 1989

Bibliographical note

Funding Information:
This work is supported m part by the Umted States Department of Energy under contract Nos DE-AA03-76SF00034 (S F ) and DE-AC02-76ERO-2220 (A S )

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(89)90583-2

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title = "Modular invariance in supersymmetric field theories",

abstract = "We show how duality invariance of the supergravity action restricts the K{\"a}hler potential and the superpotential and connects them to the theory of modular forms. This has relevance in string-induced supergravity for those scalar fields which are moduli of the underlying string compactification. We also discuss the restrictions imposed on globally supersymmetric theories.",

author = "S. Ferrara and D. L{\"u}st and A. Shapere and S. Theisen",

note = "Funding Information: This work is supported m part by the Umted States Department of Energy under contract Nos DE-AA03-76SF00034 (S F ) and DE-AC02-76ERO-2220 (A S )",

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AU - Lüst, D.

AU - Shapere, A.

AU - Theisen, S.

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Y1 - 1989/7/27

N2 - We show how duality invariance of the supergravity action restricts the Kähler potential and the superpotential and connects them to the theory of modular forms. This has relevance in string-induced supergravity for those scalar fields which are moduli of the underlying string compactification. We also discuss the restrictions imposed on globally supersymmetric theories.

AB - We show how duality invariance of the supergravity action restricts the Kähler potential and the superpotential and connects them to the theory of modular forms. This has relevance in string-induced supergravity for those scalar fields which are moduli of the underlying string compactification. We also discuss the restrictions imposed on globally supersymmetric theories.

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ER -

Modular invariance in supersymmetric field theories

Abstract

Bibliographical note

ASJC Scopus subject areas

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