### Abstract

A set of on shell duality equations is proposed that leads to a map between strings moving on symmetric spaces with opposite curvatures. The transformation maps "waves" on a Riemannian symmetric space M to "waves" on its dual Riemannian symmetric space M̃. This transformation preserves the energy momentum tensor though it is not a canonical transformation. The preservation of the energy momentum tensor has a natural geometrical interpretation. The transformation maps "particle-like solutions" into static "soliton-like solutions". The results presented here generalize earlier results of E. Ivanov.

Original language | English (US) |
---|---|

Pages (from-to) | 139-154 |

Number of pages | 16 |

Journal | Nuclear Physics B |

Volume | 582 |

Issue number | 1-3 |

State | Published - Aug 28 2000 |

### Fingerprint

### Keywords

- 02.40.-k
- 03.50.-z
- 11.25.-w
- Duality
- Geometry
- Strings

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*582*(1-3), 139-154.

**Target space pseudoduality between dual symmetric spaces.** / Alvarez, Orlando.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 582, no. 1-3, pp. 139-154.

}

TY - JOUR

T1 - Target space pseudoduality between dual symmetric spaces

AU - Alvarez, Orlando

PY - 2000/8/28

Y1 - 2000/8/28

N2 - A set of on shell duality equations is proposed that leads to a map between strings moving on symmetric spaces with opposite curvatures. The transformation maps "waves" on a Riemannian symmetric space M to "waves" on its dual Riemannian symmetric space M̃. This transformation preserves the energy momentum tensor though it is not a canonical transformation. The preservation of the energy momentum tensor has a natural geometrical interpretation. The transformation maps "particle-like solutions" into static "soliton-like solutions". The results presented here generalize earlier results of E. Ivanov.

AB - A set of on shell duality equations is proposed that leads to a map between strings moving on symmetric spaces with opposite curvatures. The transformation maps "waves" on a Riemannian symmetric space M to "waves" on its dual Riemannian symmetric space M̃. This transformation preserves the energy momentum tensor though it is not a canonical transformation. The preservation of the energy momentum tensor has a natural geometrical interpretation. The transformation maps "particle-like solutions" into static "soliton-like solutions". The results presented here generalize earlier results of E. Ivanov.

KW - 02.40.-k

KW - 03.50.-z

KW - 11.25.-w

KW - Duality

KW - Geometry

KW - Strings

UR - http://www.scopus.com/inward/record.url?scp=0034726310&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034726310&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034726310

VL - 582

SP - 139

EP - 154

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-3

ER -