Analytic construction of multi-brane solutions in cubic string field theory for any brane number

• Material Type: 記事
• Title: Analytic construction of multi-brane solutions in cubic string field theory for any brane number
• Author/Editor: Hiroyuki Hata
• Publication, Distribution, etc.: 日本 : Oxford University Press
• Publication Date: 2019-08-13
• Publication Date (W3CDTF): 2019-08-13
• Periodical title: Progress of Theoretical and Experimental Physics : PTEP
• No. or year of volume/issue: 2019(8)
• Volume: 2019(8)
• ISSN (Periodical Title): 2050-3911
• Text Language Code: eng
• DOI: 10.1093/ptep/ptz089; https://doi.org/10.1093/ptep/ptz089
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• Date Accepted (W3CDTF): 2021-04-08T08:04:22+09:00
• Date Captured (W3CDTF): 2021-04-02
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• Periodical Title (URI): https://academic.oup.com/ptep/article/2019/8/083B05/5549088
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• Summary, etc.: We present an analytic construction of multi-brane solutions with any integer brane number in cubic open string field theory (CSFT) on the basis of the KBc algebra. Our solution is given in the pure-gauge form Ψ=UQBU⁻¹ by a unitary string field U⁠, which we choose to satisfy two requirements. First, the energy density of the solution should reproduce that of the (N+1)-branes. Second, the equations of motion (EOM) of the solution should hold against the solution itself. In spite of the pure-gauge form of Ψ⁠, these two conditions are non-trivial ones due to the singularity at K=0⁠. For the (N+1)-brane solution, our U is specified by [N/2] independent real parameters αk⁠. For the 2-brane (⁠N=1⁠), the solution is unique and reproduces the known one. We find that αk satisfying the two conditions indeed exist as far as we have tested for various integer values of N (=2, 3, 4, 5, …)⁠. Our multi-brane solutions consisting only of the elements of the KBc algebra have the problem that the EOM is not satisfied against the Fock states and therefore are not complete ones. However, our construction should be an important step toward understanding the topological nature of CSFT, which has similarities to the Chern–Simons theory in three dimensions.
• DOI: 10.1093/ptep/ptz089; https://doi.org/10.1093/ptep/ptz089; 10.48550/arxiv.1901.01681; https://doi.org/10.48550/arxiv.1901.01681
• Access Restrictions: インターネット公開
• Rights (production): © The Author(s) 2019. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Funded by SCOAP³
• Related Material (URI): http://hdl.handle.net/2433/246193; http://id.ndl.go.jp/digimeta/11661815; https://dl.ndl.go.jp/pid/11661815
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• Bibliographic ID (NDL): 11661815; http://id.ndl.go.jp/bib/11661815
• NAID: 120006813281