W-gravity and generalized Lax equations for (super) Toda theory

Kenichiro Aoki; Eric D'Hoker

doi:10.1016/0550-3213(92)90207-R

W-gravity and generalized Lax equations for (super) Toda theory

Kenichiro Aoki, Eric D'Hoker

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

3 Citations (Scopus)

Abstract

We generalize the Lax pair and Bäcklund transformations for Toda and N = 1 super Toda equations to the case of arbitrary world-sheet background geometry. We use the fact that the Toda equations express constant curvature conditions, which arise naturally from flatness conditions equivalent to the W-gravity equation of motion.

Original language	English
Pages (from-to)	576-586
Number of pages	11
Journal	Nuclear Physics, Section B
Volume	387
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(92)90207-R
Publication status	Published - 1992 Dec 7
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(92)90207-R

Cite this

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title = "W-gravity and generalized Lax equations for (super) Toda theory",

abstract = "We generalize the Lax pair and B{\"a}cklund transformations for Toda and N = 1 super Toda equations to the case of arbitrary world-sheet background geometry. We use the fact that the Toda equations express constant curvature conditions, which arise naturally from flatness conditions equivalent to the W-gravity equation of motion.",

author = "Kenichiro Aoki and Eric D'Hoker",

note = "Funding Information: * Work supported in part by the National Science Foundation under grant NSF-89-15286. E-mail: aoki@uclahep.bitnet",

year = "1992",

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T1 - W-gravity and generalized Lax equations for (super) Toda theory

AU - Aoki, Kenichiro

AU - D'Hoker, Eric

N1 - Funding Information: * Work supported in part by the National Science Foundation under grant NSF-89-15286. E-mail: aoki@uclahep.bitnet

PY - 1992/12/7

Y1 - 1992/12/7

N2 - We generalize the Lax pair and Bäcklund transformations for Toda and N = 1 super Toda equations to the case of arbitrary world-sheet background geometry. We use the fact that the Toda equations express constant curvature conditions, which arise naturally from flatness conditions equivalent to the W-gravity equation of motion.

AB - We generalize the Lax pair and Bäcklund transformations for Toda and N = 1 super Toda equations to the case of arbitrary world-sheet background geometry. We use the fact that the Toda equations express constant curvature conditions, which arise naturally from flatness conditions equivalent to the W-gravity equation of motion.

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DO - 10.1016/0550-3213(92)90207-R

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VL - 387

SP - 576

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JO - Nuclear Physics B

JF - Nuclear Physics B

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ER -

W-gravity and generalized Lax equations for (super) Toda theory

Abstract

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