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Differential Geometric Methods in Theoretical Physics pp 147–168Cite as

Non-Compact Current Algebras and Heterotic Superstring Vacua

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Part of the book series: NATO ASI Series ((NSSB,volume 245))

Abstract

It has been shown that a four dimensional finite and consistent superstring theory [1] can be constructed by combining any 2-dimensional superconformai field theory with a central charge c=9 with a superstring propagating in flat 4-dimensional Minkowski space-time. Each distinct superconformai field theory corresponds to a possible vacuum state of the full string theory. For N=1 supersymmetry to emerge in this vacuum in 4-dimensions, an N=2 worldsheet supersymmetry is necessary [2]. Gepner has provided [3] a procedure for the construction of a heterotic superstring that satisfies the required properties including modular invariance by using the above ingredients.

Research supported in part by DOE Grant No. DE-FG03-84ER40168.

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Author information

Authors and Affiliations

  1. Physics Department, University of Southern California, Los Angeles, CA, 90089, USA

    Itzhak Bars

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  1. Itzhak Bars
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Editor information

Editors and Affiliations

  1. University of California, Davis, Davis, California, USA

    Ling-Lie Chau  & Werner Nahm  & 

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Bars, I. (1990). Non-Compact Current Algebras and Heterotic Superstring Vacua. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_15

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  • DOI: https://doi.org/10.1007/978-1-4684-9148-7_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-9150-0

  • Online ISBN: 978-1-4684-9148-7

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