Degeneration of ALF Dn metrics

Gordon Chalmers; Martin Roček; Steven Wiles

doi:10.1088/1126-6708/1999/01/009

Degeneration of ALF D_n metrics

Gordon Chalmers
, Martin Roček
, Steven Wiles

Institute for Theoretical Physics

Argonne National Laboratory

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

7 Scopus citations

Abstract

Beginning with the Legendre transform construction of hyperkähler metrics, we analyze the ALF version of the D_n metrics. We determine the constraint equation obtained from extremizing the w coordinate of the generating function F(z, z̄, u, ū, w) and study its behavior as we send two of the mass parameters of the Dn metric to zero. We find that the constraint equation enforces the limit that the metric becomes that of multi-Taub-NUT.

Original language	English
Pages (from-to)	XIX-13
Journal	Journal of High Energy Physics
Volume	3
Issue number	1
DOIs	https://doi.org/10.1088/1126-6708/1999/01/009
State	Published - 1999

Keywords

D-branes
Differential and algebraic geometry
Duality in gauge field theories
Nonperturbative effects

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10.1088/1126-6708/1999/01/009

Cite this

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title = "Degeneration of ALF Dn metrics",

abstract = "Beginning with the Legendre transform construction of hyperk{\"a}hler metrics, we analyze the ALF version of the Dn metrics. We determine the constraint equation obtained from extremizing the w coordinate of the generating function F(z, {\=z}, u, ū, w) and study its behavior as we send two of the mass parameters of the Dn metric to zero. We find that the constraint equation enforces the limit that the metric becomes that of multi-Taub-NUT.",

keywords = "D-branes, Differential and algebraic geometry, Duality in gauge field theories, Nonperturbative effects",

author = "Gordon Chalmers and Martin Ro{\v c}ek and Steven Wiles",

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AU - Chalmers, Gordon

AU - Roček, Martin

AU - Wiles, Steven

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N2 - Beginning with the Legendre transform construction of hyperkähler metrics, we analyze the ALF version of the Dn metrics. We determine the constraint equation obtained from extremizing the w coordinate of the generating function F(z, z̄, u, ū, w) and study its behavior as we send two of the mass parameters of the Dn metric to zero. We find that the constraint equation enforces the limit that the metric becomes that of multi-Taub-NUT.

AB - Beginning with the Legendre transform construction of hyperkähler metrics, we analyze the ALF version of the Dn metrics. We determine the constraint equation obtained from extremizing the w coordinate of the generating function F(z, z̄, u, ū, w) and study its behavior as we send two of the mass parameters of the Dn metric to zero. We find that the constraint equation enforces the limit that the metric becomes that of multi-Taub-NUT.

KW - D-branes

KW - Differential and algebraic geometry

KW - Duality in gauge field theories

KW - Nonperturbative effects

UR - https://www.scopus.com/pages/publications/33646039812

U2 - 10.1088/1126-6708/1999/01/009

DO - 10.1088/1126-6708/1999/01/009

M3 - Article

AN - SCOPUS:33646039812

SN - 1126-6708

VL - 3

SP - XIX-13

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

ER -

Degeneration of ALF D_n metrics

Abstract

Keywords

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