Superstring compactification on homogeneous coset spaces with torsion

Leonardo Castellani; Dieter Lüst

doi:10.1016/0550-3213(88)90384-7

Superstring compactification on homogeneous coset spaces with torsion

Leonardo Castellani
, Dieter Lüst

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

Abstract

Compactifications of the heterotic string on M⁴×K are investigated, where M⁴ is four- Minkowski spacetime and K is a six-dimensional compact coset manifold with torsion. The β-functions of the underlying two-dimensional nonlinear σ-model, as well as the central charge of the Virasoro algebra, are argued to vanish for K=SU(3)/U(1)×U(1) and G₂/SU(3) with a particular choice of torsion and radius of the manifold. These two coset spaces may provide therefore a perturbative solution of the classical string field equations.

Original language	English
Pages (from-to)	143-156
Number of pages	14
Journal	Nuclear Physics B
Volume	296
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(88)90384-7
Publication status	Published - 4 Jan 1988
Externally published	Yes

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title = "Superstring compactification on homogeneous coset spaces with torsion",

abstract = "Compactifications of the heterotic string on M4{\texttimes}K are investigated, where M4 is four- Minkowski spacetime and K is a six-dimensional compact coset manifold with torsion. The β-functions of the underlying two-dimensional nonlinear σ-model, as well as the central charge of the Virasoro algebra, are argued to vanish for K=SU(3)/U(1){\texttimes}U(1) and G2/SU(3) with a particular choice of torsion and radius of the manifold. These two coset spaces may provide therefore a perturbative solution of the classical string field equations.",

author = "Leonardo Castellani and Dieter L{\"u}st",

note = "Funding Information: *Work supported in part by the US Department of Energy under contract DEAC 03-81-ER40050. IOn leave of absence from the Istituto Nazionale di Fisica Nucleare, Sez. di Torino. Address after October 1st, 1986: CERN, Geneva, Switzerland. {"}-Supported by a scholarship from the Max Kade Foundation, New York.",

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doi = "10.1016/0550-3213(88)90384-7",

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AU - Castellani, Leonardo

AU - Lüst, Dieter

N1 - Funding Information: *Work supported in part by the US Department of Energy under contract DEAC 03-81-ER40050. IOn leave of absence from the Istituto Nazionale di Fisica Nucleare, Sez. di Torino. Address after October 1st, 1986: CERN, Geneva, Switzerland. "-Supported by a scholarship from the Max Kade Foundation, New York.

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N2 - Compactifications of the heterotic string on M4×K are investigated, where M4 is four- Minkowski spacetime and K is a six-dimensional compact coset manifold with torsion. The β-functions of the underlying two-dimensional nonlinear σ-model, as well as the central charge of the Virasoro algebra, are argued to vanish for K=SU(3)/U(1)×U(1) and G2/SU(3) with a particular choice of torsion and radius of the manifold. These two coset spaces may provide therefore a perturbative solution of the classical string field equations.

AB - Compactifications of the heterotic string on M4×K are investigated, where M4 is four- Minkowski spacetime and K is a six-dimensional compact coset manifold with torsion. The β-functions of the underlying two-dimensional nonlinear σ-model, as well as the central charge of the Virasoro algebra, are argued to vanish for K=SU(3)/U(1)×U(1) and G2/SU(3) with a particular choice of torsion and radius of the manifold. These two coset spaces may provide therefore a perturbative solution of the classical string field equations.

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DO - 10.1016/0550-3213(88)90384-7

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VL - 296

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EP - 156

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1

ER -

Superstring compactification on homogeneous coset spaces with torsion

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