Light-cone reduction of Witten’s open string field theory
Abstract We elucidate some exact relations between light-cone and covariant string field theories on the basis of the homological perturbation lemma for A ∞. The covariant string field splits into the light-cone string field and trivial excitations of BRST quartets: the latter generates the gauge sy...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2019)143 |
| _version_ | 1828527780213555200 |
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| author | Hiroaki Matsunaga |
| author_facet | Hiroaki Matsunaga |
| author_sort | Hiroaki Matsunaga |
| collection | DOAJ |
| description | Abstract We elucidate some exact relations between light-cone and covariant string field theories on the basis of the homological perturbation lemma for A ∞. The covariant string field splits into the light-cone string field and trivial excitations of BRST quartets: the latter generates the gauge symmetry and covariance. We first show that the reduction of gauge degrees can be performed by applying the lemma, which gives a refined version of the no-ghost theorem of covariant strings. Then, we demonstrate that after the reduction, gauge-fixed theory can be regarded as a kind of effective field theory and it provides an exact gauge-fixing procedure taking into account interactions. As a result, a novel light-cone string field theory is obtained from Witten’s open string field theory. |
| first_indexed | 2024-12-11T21:42:58Z |
| format | Article |
| id | doaj.art-310e6e0ee25a48709ead3308ca175fcb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T21:42:58Z |
| publishDate | 2019-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-310e6e0ee25a48709ead3308ca175fcb2022-12-22T00:49:46ZengSpringerOpenJournal of High Energy Physics1029-84792019-04-012019413010.1007/JHEP04(2019)143Light-cone reduction of Witten’s open string field theoryHiroaki Matsunaga0CEICO, Institute of Physics of the Czech Academy of SciencesAbstract We elucidate some exact relations between light-cone and covariant string field theories on the basis of the homological perturbation lemma for A ∞. The covariant string field splits into the light-cone string field and trivial excitations of BRST quartets: the latter generates the gauge symmetry and covariance. We first show that the reduction of gauge degrees can be performed by applying the lemma, which gives a refined version of the no-ghost theorem of covariant strings. Then, we demonstrate that after the reduction, gauge-fixed theory can be regarded as a kind of effective field theory and it provides an exact gauge-fixing procedure taking into account interactions. As a result, a novel light-cone string field theory is obtained from Witten’s open string field theory.http://link.springer.com/article/10.1007/JHEP04(2019)143Gauge SymmetryString Field TheoryBRST QuantizationEffective Field Theories |
| spellingShingle | Hiroaki Matsunaga Light-cone reduction of Witten’s open string field theory Journal of High Energy Physics Gauge Symmetry String Field Theory BRST Quantization Effective Field Theories |
| title | Light-cone reduction of Witten’s open string field theory |
| title_full | Light-cone reduction of Witten’s open string field theory |
| title_fullStr | Light-cone reduction of Witten’s open string field theory |
| title_full_unstemmed | Light-cone reduction of Witten’s open string field theory |
| title_short | Light-cone reduction of Witten’s open string field theory |
| title_sort | light cone reduction of witten s open string field theory |
| topic | Gauge Symmetry String Field Theory BRST Quantization Effective Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP04(2019)143 |
| work_keys_str_mv | AT hiroakimatsunaga lightconereductionofwittensopenstringfieldtheory |