### Resumen

We study compactifications of string theory and M-theory to six dimensions with background fluxes. The non-zero fluxes lead to additional mass parameters. We derive the S- and T-duality rules for the corresponding (massive) supergravity theories. Specifically, we investigate the massive T-duality between Type IIA superstring theory compactified on K3 with background fluxes and Type IIB superstring theory compactified on K3. Furthermore, we generalize to the massive case the 6D 'string-string' S-duality between M-theory on K3 × S^{1} and the heterotic string on T^{4}. Whereas in the case of massive T-duality the mass parameters are in the fundamental representation of the U-duality group O(4, 20) we find that in the case of massive S-duality they are in the 3-index antisymmetric representation. In the latter case, the mass parameters involved extend those of Kaloper and Myers. We apply our duality rules to massive brane solutions, such as the domain wall solutions corresponding to the mass parameters and find new massive brane solutions. Finally, we discuss the higher dimensional interpretation of the dualities and brane solutions.

Idioma original | English |
---|---|

Páginas (desde-hasta) | 2177-2199 |

Número de páginas | 23 |

Publicación | Classical and Quantum Gravity |

Volumen | 19 |

N.º | 8 |

DOI | |

Estado | Published - 21 abr 2002 |

### Huella dactilar

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Citar esto

*Classical and Quantum Gravity*,

*19*(8), 2177-2199. https://doi.org/10.1088/0264-9381/19/8/309

}

*Classical and Quantum Gravity*, vol. 19, n.º 8, pp. 2177-2199. https://doi.org/10.1088/0264-9381/19/8/309

**Massive dualities in six dimensions.** / Behrndt, K.; Bergshoeff, E.; Roest, D.; Sundell, P.

Resultado de la investigación: Article

TY - JOUR

T1 - Massive dualities in six dimensions

AU - Behrndt, K.

AU - Bergshoeff, E.

AU - Roest, D.

AU - Sundell, P.

PY - 2002/4/21

Y1 - 2002/4/21

N2 - We study compactifications of string theory and M-theory to six dimensions with background fluxes. The non-zero fluxes lead to additional mass parameters. We derive the S- and T-duality rules for the corresponding (massive) supergravity theories. Specifically, we investigate the massive T-duality between Type IIA superstring theory compactified on K3 with background fluxes and Type IIB superstring theory compactified on K3. Furthermore, we generalize to the massive case the 6D 'string-string' S-duality between M-theory on K3 × S1 and the heterotic string on T4. Whereas in the case of massive T-duality the mass parameters are in the fundamental representation of the U-duality group O(4, 20) we find that in the case of massive S-duality they are in the 3-index antisymmetric representation. In the latter case, the mass parameters involved extend those of Kaloper and Myers. We apply our duality rules to massive brane solutions, such as the domain wall solutions corresponding to the mass parameters and find new massive brane solutions. Finally, we discuss the higher dimensional interpretation of the dualities and brane solutions.

AB - We study compactifications of string theory and M-theory to six dimensions with background fluxes. The non-zero fluxes lead to additional mass parameters. We derive the S- and T-duality rules for the corresponding (massive) supergravity theories. Specifically, we investigate the massive T-duality between Type IIA superstring theory compactified on K3 with background fluxes and Type IIB superstring theory compactified on K3. Furthermore, we generalize to the massive case the 6D 'string-string' S-duality between M-theory on K3 × S1 and the heterotic string on T4. Whereas in the case of massive T-duality the mass parameters are in the fundamental representation of the U-duality group O(4, 20) we find that in the case of massive S-duality they are in the 3-index antisymmetric representation. In the latter case, the mass parameters involved extend those of Kaloper and Myers. We apply our duality rules to massive brane solutions, such as the domain wall solutions corresponding to the mass parameters and find new massive brane solutions. Finally, we discuss the higher dimensional interpretation of the dualities and brane solutions.

UR - http://www.scopus.com/inward/record.url?scp=0042377399&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/19/8/309

DO - 10.1088/0264-9381/19/8/309

M3 - Article

VL - 19

SP - 2177

EP - 2199

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 8

ER -