Central extensions of gauge groups revisited

Andrei Losev; Gregory Moore; Nikita Nekrasov; Samson Shatashvili; X. Cabré; S. Chanillo

doi:10.1007/s000290050026

Central extensions of gauge groups revisited

Andrei Losev
, Gregory Moore
, Nikita Nekrasov
, Samson Shatashvili
, X. Cabré
, S. Chanillo

Simons Center for Geometry & Physics

Steklov Mathematical Institute
Sorbonne Université
Rutgers - The State University of New Jersey, New Brunswick

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

15 Scopus citations

Abstract

We present an explicit construction for the central extension of the group Map(X, G) where X is a compact manifold and G is a Lie group. If X is a complex curve we obtain a simple construction of the extension by the Picard variety Pic(X). The construction is easily adapted to the extension of Aut(E), the gauge group of automorphisms of a nontrivial vector bundle E.

Original language	English
Pages (from-to)	117-123
Number of pages	7
Journal	Selecta Mathematica, New Series
Volume	4
Issue number	1
DOIs	https://doi.org/10.1007/s000290050026
State	Published - 1998

Keywords

Anomalies
Central extensions
Characteristic classes
Gauge groups
Infinite-dimensional Lie groups

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10.1007/s000290050026

Cite this

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abstract = "We present an explicit construction for the central extension of the group Map(X, G) where X is a compact manifold and G is a Lie group. If X is a complex curve we obtain a simple construction of the extension by the Picard variety Pic(X). The construction is easily adapted to the extension of Aut(E), the gauge group of automorphisms of a nontrivial vector bundle E.",

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AU - Losev, Andrei

AU - Moore, Gregory

AU - Nekrasov, Nikita

AU - Shatashvili, Samson

AU - Cabré, X.

AU - Chanillo, S.

PY - 1998

Y1 - 1998

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AB - We present an explicit construction for the central extension of the group Map(X, G) where X is a compact manifold and G is a Lie group. If X is a complex curve we obtain a simple construction of the extension by the Picard variety Pic(X). The construction is easily adapted to the extension of Aut(E), the gauge group of automorphisms of a nontrivial vector bundle E.

KW - Anomalies

KW - Central extensions

KW - Characteristic classes

KW - Gauge groups

KW - Infinite-dimensional Lie groups

UR - https://www.scopus.com/pages/publications/54649083826

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DO - 10.1007/s000290050026

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JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 1

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Central extensions of gauge groups revisited

Abstract

Keywords

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