Conformal sigma models with anomalous dimensions and Ricci solitons

Muneto Nitta

doi:10.1142/S0217732305016828

Conformal sigma models with anomalous dimensions and Ricci solitons

Muneto Nitta

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

12 Citations (Scopus)

Abstract

We present new non-Ricci-flat Kähler metrics with U(N) and O(N) isometries as target manifolds of superconformally invariant sigma models with an anomalous dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow equation. These metrics explicitly contain the anomalous dimension and reduce to Ricci-flat Kähler metrics on the canonical line bundles over certain coset spaces in the limit of vanishing anomalous dimension.

Original language	English
Pages (from-to)	577-584
Number of pages	8
Journal	Modern Physics Letters A
Volume	20
Issue number	8
DOIs	https://doi.org/10.1142/S0217732305016828
Publication status	Published - 2005 Mar 14
Externally published	Yes

Keywords

Anomalous dimension
Calabi-Yau manifolds
Canonical line bundle
Euclidean black hole
Non-Ricci-flat Kähler manifolds
Ricci flow
Ricci solitons
Superconformally invariant sigma models
U(N) isom̈ etry
Wilsonian renormalization group equation

ASJC Scopus subject areas

Nuclear and High Energy Physics
Astronomy and Astrophysics
Physics and Astronomy(all)

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10.1142/S0217732305016828

Cite this

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title = "Conformal sigma models with anomalous dimensions and Ricci solitons",

abstract = "We present new non-Ricci-flat K{\"a}hler metrics with U(N) and O(N) isometries as target manifolds of superconformally invariant sigma models with an anomalous dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow equation. These metrics explicitly contain the anomalous dimension and reduce to Ricci-flat K{\"a}hler metrics on the canonical line bundles over certain coset spaces in the limit of vanishing anomalous dimension.",

keywords = "Anomalous dimension, Calabi-Yau manifolds, Canonical line bundle, Euclidean black hole, Non-Ricci-flat K{\"a}hler manifolds, Ricci flow, Ricci solitons, Superconformally invariant sigma models, U(N) iso{\"m} etry, Wilsonian renormalization group equation",

author = "Muneto Nitta",

note = "Funding Information: The author would like to thank Kiyoshi Higashijima and Etsuko Itou for a collaboration in the early stages of this work and for explanation of their works.15,16 He is also grateful to Takashi Maeda for explaining the Ricci-flow equation. His work was supported by Japan Society for the Promotion of Science under the Post-doctoral Research Program.",

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doi = "10.1142/S0217732305016828",

language = "English",

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pages = "577--584",

journal = "Modern Physics Letters A",

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TY - JOUR

T1 - Conformal sigma models with anomalous dimensions and Ricci solitons

AU - Nitta, Muneto

N1 - Funding Information: The author would like to thank Kiyoshi Higashijima and Etsuko Itou for a collaboration in the early stages of this work and for explanation of their works.15,16 He is also grateful to Takashi Maeda for explaining the Ricci-flow equation. His work was supported by Japan Society for the Promotion of Science under the Post-doctoral Research Program.

PY - 2005/3/14

Y1 - 2005/3/14

N2 - We present new non-Ricci-flat Kähler metrics with U(N) and O(N) isometries as target manifolds of superconformally invariant sigma models with an anomalous dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow equation. These metrics explicitly contain the anomalous dimension and reduce to Ricci-flat Kähler metrics on the canonical line bundles over certain coset spaces in the limit of vanishing anomalous dimension.

AB - We present new non-Ricci-flat Kähler metrics with U(N) and O(N) isometries as target manifolds of superconformally invariant sigma models with an anomalous dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow equation. These metrics explicitly contain the anomalous dimension and reduce to Ricci-flat Kähler metrics on the canonical line bundles over certain coset spaces in the limit of vanishing anomalous dimension.

KW - Anomalous dimension

KW - Calabi-Yau manifolds

KW - Canonical line bundle

KW - Euclidean black hole

KW - Non-Ricci-flat Kähler manifolds

KW - Ricci flow

KW - Ricci solitons

KW - Superconformally invariant sigma models

KW - U(N) isom̈ etry

KW - Wilsonian renormalization group equation

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U2 - 10.1142/S0217732305016828

DO - 10.1142/S0217732305016828

M3 - Article

AN - SCOPUS:17644368170

SN - 0217-7323

VL - 20

SP - 577

EP - 584

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 8

ER -

Conformal sigma models with anomalous dimensions and Ricci solitons

Abstract

Keywords

ASJC Scopus subject areas

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