Homotopy colimits and global observables in abelian gauge theory

Marco Benini; Alexander Schenkel; Richard J. Szabo

doi:10.1007/s11005-015-0765-y

Homotopy colimits and global observables in abelian gauge theory

Marco Benini, Alexander Schenkel, Richard J. Szabo

Research output: Contribution to journal › Article

16 Citations (Scopus)

30 Downloads (Pure)

Abstract

We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to suitable categories of chain complexes. The extended functors properly describe the global field and observable content of Abelian gauge theory, while the original gauge field configurations and observables on contractible manifolds are recovered up to a natural weak equivalence.

Original language	English
Pages (from-to)	1193-1222
Journal	Letters in Mathematical Physics
Volume	105
Issue number	9
Early online date	30 May 2015
DOIs	https://doi.org/10.1007/s11005-015-0765-y
Publication status	Published - Sep 2015

Keywords

Abelian gauge theory
chain complexes
global configurations and observables
homotopy limits and colimits

ASJC Scopus subject areas

Mathematical Physics
Statistical and Nonlinear Physics

Access to Document

10.1007/s11005-015-0765-y

Download pdf
© Springer. The final publication is available at Springer via http://dx.doi.org/10.1007/s11005-015-0765-y
Accepted author manuscript, 255 KB

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Homotopy colimits and global observables in abelian gauge theory'. Together they form a unique fingerprint.

Profiles

Richard Joseph Szabo

R.J.Szabo@hw.ac.uk

School of Mathematical & Computer Sciences - Professor
School of Mathematical & Computer Sciences, Mathematics - Professor

Person: Academic (Research & Teaching)

Cite this

Benini, M., Schenkel, A., & Szabo, R. J. (2015). Homotopy colimits and global observables in abelian gauge theory. Letters in Mathematical Physics, 105(9), 1193-1222. https://doi.org/10.1007/s11005-015-0765-y

@article{e87835383f9d44259f0e0f000dbae76f,

title = "Homotopy colimits and global observables in abelian gauge theory",

abstract = "We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to suitable categories of chain complexes. The extended functors properly describe the global field and observable content of Abelian gauge theory, while the original gauge field configurations and observables on contractible manifolds are recovered up to a natural weak equivalence.",

keywords = "Abelian gauge theory, chain complexes, global configurations and observables, homotopy limits and colimits",

author = "Marco Benini and Alexander Schenkel and Szabo, {Richard J.}",

note = "The work of R.J.S. is partially supported by the Consolidated Grant ST/L000334/1 from the UK Science and Technology Facilities Council, and by the Advanced Grant LDTBUD from the European Research Council.",

year = "2015",

month = sep,

doi = "10.1007/s11005-015-0765-y",

language = "English",

volume = "105",

pages = "1193--1222",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer",

number = "9",

}

TY - JOUR

T1 - Homotopy colimits and global observables in abelian gauge theory

AU - Benini, Marco

AU - Schenkel, Alexander

AU - Szabo, Richard J.

N1 - The work of R.J.S. is partially supported by the Consolidated Grant ST/L000334/1 from the UK Science and Technology Facilities Council, and by the Advanced Grant LDTBUD from the European Research Council.

PY - 2015/9

Y1 - 2015/9

N2 - We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to suitable categories of chain complexes. The extended functors properly describe the global field and observable content of Abelian gauge theory, while the original gauge field configurations and observables on contractible manifolds are recovered up to a natural weak equivalence.

AB - We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to suitable categories of chain complexes. The extended functors properly describe the global field and observable content of Abelian gauge theory, while the original gauge field configurations and observables on contractible manifolds are recovered up to a natural weak equivalence.

KW - Abelian gauge theory

KW - chain complexes

KW - global configurations and observables

KW - homotopy limits and colimits

UR - http://www.scopus.com/inward/record.url?scp=84930257678&partnerID=8YFLogxK

U2 - 10.1007/s11005-015-0765-y

DO - 10.1007/s11005-015-0765-y

M3 - Article

VL - 105

SP - 1193

EP - 1222

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 9

ER -