### Abstract

An infinite-dimensional gauge algebra (DISG) is defined in terms of string vertex operators. The DISG reproduce the gauge algebra of 4D, N = 4 compactifications of the heterotic string, and is invariant under the full internal duality group O(6, 22, Z). The DISG is an indefinite signature lattice algebra which contains affine Lie algebras of any level. It uniquely specifies the N = 4 low-energy effective lagrangian for gravitational and matter N = 4 multiplets. The gauge symmetries are broken on any background to a finite-dimensional gauge group. Orbifold truncations to N = 1, 2 are defined and studied for the case of Z_{N} orbifolds. Inclusion of higher spin fields and the appearance of "duality forms" due to integration of massive fields are discussed.

Original language | English (US) |
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Pages (from-to) | 422-454 |

Number of pages | 33 |

Journal | Nuclear Physics, Section B |

Volume | 355 |

Issue number | 2 |

DOIs | |

State | Published - May 20 1991 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*355*(2), 422-454. https://doi.org/10.1016/0550-3213(91)90121-D

**Duality invariant string algebra and D = 4 effective actions.** / Giveon, Amit; Porrati, Massimo.

Research output: Contribution to journal › Article

*Nuclear Physics, Section B*, vol. 355, no. 2, pp. 422-454. https://doi.org/10.1016/0550-3213(91)90121-D

}

TY - JOUR

T1 - Duality invariant string algebra and D = 4 effective actions

AU - Giveon, Amit

AU - Porrati, Massimo

PY - 1991/5/20

Y1 - 1991/5/20

N2 - An infinite-dimensional gauge algebra (DISG) is defined in terms of string vertex operators. The DISG reproduce the gauge algebra of 4D, N = 4 compactifications of the heterotic string, and is invariant under the full internal duality group O(6, 22, Z). The DISG is an indefinite signature lattice algebra which contains affine Lie algebras of any level. It uniquely specifies the N = 4 low-energy effective lagrangian for gravitational and matter N = 4 multiplets. The gauge symmetries are broken on any background to a finite-dimensional gauge group. Orbifold truncations to N = 1, 2 are defined and studied for the case of ZN orbifolds. Inclusion of higher spin fields and the appearance of "duality forms" due to integration of massive fields are discussed.

AB - An infinite-dimensional gauge algebra (DISG) is defined in terms of string vertex operators. The DISG reproduce the gauge algebra of 4D, N = 4 compactifications of the heterotic string, and is invariant under the full internal duality group O(6, 22, Z). The DISG is an indefinite signature lattice algebra which contains affine Lie algebras of any level. It uniquely specifies the N = 4 low-energy effective lagrangian for gravitational and matter N = 4 multiplets. The gauge symmetries are broken on any background to a finite-dimensional gauge group. Orbifold truncations to N = 1, 2 are defined and studied for the case of ZN orbifolds. Inclusion of higher spin fields and the appearance of "duality forms" due to integration of massive fields are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0000310003&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000310003&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(91)90121-D

DO - 10.1016/0550-3213(91)90121-D

M3 - Article

AN - SCOPUS:0000310003

VL - 355

SP - 422

EP - 454

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 2

ER -