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  On the Uniqueness of L$_\infty$ bootstrap: Quasi-isomorphisms are Seiberg-Witten Maps

Blumenhagen, R., Brinkmann, M., Kupriyanov, V., & Traube, M. (2018). On the Uniqueness of L$_\infty$ bootstrap: Quasi-isomorphisms are Seiberg-Witten Maps. Journal of Mathematical Physics, (59), 123505. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-146.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-F873-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0003-F874-3
Genre: Journal Article

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 Creators:
Blumenhagen, Ralph1, Author
Brinkmann, Max1, Author
Kupriyanov, Vladislav1, Author
Traube, Matthias1, Author
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Theoretical Physics
 Abstract: In the context of the recently proposed L$_\infty$ bootstrap approach, the question arises whether the so constructed gauge theories are unique solutions of the L$_\infty$ relations. Physically it is expected that two gauge theories should be considered equivalent if they are related by a field redefinition described by a Seiberg-Witten map. To clarify the consequences in the L$_\infty$ framework, it is proven that Seiberg-Witten maps between physically equivalent gauge theories correspond to quasi-isomorphisms of the underlying L$_\infty$ algebras. The proof suggests an extension of the definition of a Seiberg-Witten map to the closure conditions of two gauge transformations and the dynamical equations of motion.

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 Dates: 2018
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 747270
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-146
URI: http://arXiv.org/abs/arxiv:1806.10314
URI: https://inspirehep.net/search?p=find+eprint+1806.10314
Other: MPP-2018-146
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Title: Journal of Mathematical Physics
  Alternative Title : J.Math.Phys.
Source Genre: Journal
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Pages: - Volume / Issue: (59) Sequence Number: - Start / End Page: 123505 Identifier: -