Generalized Kähler geometry and gerbes

Chris M. Hull; Ulf Lindström; Martin Roček; Rikard Von Unge; Maxim Zabzine

doi:10.1088/1126-6708/2009/10/062

Generalized Kähler geometry and gerbes

Chris M. Hull
, Ulf Lindström
, Martin Roček
, Rikard Von Unge
, Maxim Zabzine

Institute for Theoretical Physics

Imperial College London
Uppsala University
Stony Brook University
Masaryk University

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

18 Scopus citations

Abstract

We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized Kähler geometry in a manner analogous to the way a holomorphic line bundle is related to Kähler geometry. The relation between the gerbe and the generalized Kähler potential is discussed.

Original language	English
Article number	062
Journal	Journal of High Energy Physics
Volume	2009
Issue number	10
DOIs	https://doi.org/10.1088/1126-6708/2009/10/062
State	Published - 2009

Keywords

Differential and Algebraic Geometry
Extended Supersymmetry
Sigma Models

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10.1088/1126-6708/2009/10/062

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title = "Generalized K{\"a}hler geometry and gerbes",

abstract = "We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized K{\"a}hler geometry in a manner analogous to the way a holomorphic line bundle is related to K{\"a}hler geometry. The relation between the gerbe and the generalized K{\"a}hler potential is discussed.",

keywords = "Differential and Algebraic Geometry, Extended Supersymmetry, Sigma Models",

author = "Hull, \{Chris M.\} and Ulf Lindstr{\"o}m and Martin Ro{\v c}ek and Unge, \{Rikard Von\} and Maxim Zabzine",

year = "2009",

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language = "English",

volume = "2009",

journal = "Journal of High Energy Physics",

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T1 - Generalized Kähler geometry and gerbes

AU - Hull, Chris M.

AU - Lindström, Ulf

AU - Roček, Martin

AU - Unge, Rikard Von

AU - Zabzine, Maxim

PY - 2009

Y1 - 2009

N2 - We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized Kähler geometry in a manner analogous to the way a holomorphic line bundle is related to Kähler geometry. The relation between the gerbe and the generalized Kähler potential is discussed.

AB - We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized Kähler geometry in a manner analogous to the way a holomorphic line bundle is related to Kähler geometry. The relation between the gerbe and the generalized Kähler potential is discussed.

KW - Differential and Algebraic Geometry

KW - Extended Supersymmetry

KW - Sigma Models

UR - https://www.scopus.com/pages/publications/70350782518

U2 - 10.1088/1126-6708/2009/10/062

DO - 10.1088/1126-6708/2009/10/062

M3 - Article

AN - SCOPUS:70350782518

SN - 1126-6708

VL - 2009

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

M1 - 062

ER -

Generalized Kähler geometry and gerbes

Abstract

Keywords

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