A-infinity structure in string theory and the Yang-Mills equation
We consider local operators of CFT inserted at the boundary of the worldsheet and an infinite set of maps that act on a space of the local operators. These maps have natural CFT interpretation and form A-infinity algebra. In terms of these operators we define the homotopical Maurer-Cartan equation,...
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| creator | Grigoryev, Dmitry Khromov, Pavel |
| description | We consider local operators of CFT inserted at the boundary of the worldsheet
and an infinite set of maps that act on a space of the local operators. These
maps have natural CFT interpretation and form A-infinity algebra. In terms of
these operators we define the homotopical Maurer-Cartan equation, find its
symmetries and explore its properties. Further we recover the Yang-Mills
equation from the homotopical Maurer-Cartan equation, identify the first
alpha'-correction to it and propose method for calculation all corrections. |
| doi_str_mv | 10.48550/arxiv.1101.5388 |
| format | Article |
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and an infinite set of maps that act on a space of the local operators. These
maps have natural CFT interpretation and form A-infinity algebra. In terms of
these operators we define the homotopical Maurer-Cartan equation, find its
symmetries and explore its properties. Further we recover the Yang-Mills
equation from the homotopical Maurer-Cartan equation, identify the first
alpha'-correction to it and propose method for calculation all corrections.</description><identifier>DOI: 10.48550/arxiv.1101.5388</identifier><language>eng</language><subject>Physics - High Energy Physics - Theory</subject><creationdate>2011-01</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1101.5388$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1101.5388$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Grigoryev, Dmitry</creatorcontrib><creatorcontrib>Khromov, Pavel</creatorcontrib><title>A-infinity structure in string theory and the Yang-Mills equation</title><description>We consider local operators of CFT inserted at the boundary of the worldsheet
and an infinite set of maps that act on a space of the local operators. These
maps have natural CFT interpretation and form A-infinity algebra. In terms of
these operators we define the homotopical Maurer-Cartan equation, find its
symmetries and explore its properties. Further we recover the Yang-Mills
equation from the homotopical Maurer-Cartan equation, identify the first
alpha'-correction to it and propose method for calculation all corrections.</description><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7FOwzAURb10QIWdCfkHnNqx_fwyRhUFpCKWLkyRk74US8EtjoPI30MA3eHes1zpMHarZGHQWrnx6St8FkpJVViNeMXqWoTYhxjyzMecpi5PiXiIC4R44vmNzmnmPh6XyV99PInnMAwjp4_J53CO12zV-2Gkm_9es8Pu_rB9FPuXh6dtvRceLIrWSSAJfaehtLJ1zhnQhK5USqHxJRmAymJ7rACr0lki2dsODP2kRa_0mt393f4qNJcU3n2am0WlWVT0N6_KQsM</recordid><startdate>20110127</startdate><enddate>20110127</enddate><creator>Grigoryev, Dmitry</creator><creator>Khromov, Pavel</creator><scope>GOX</scope></search><sort><creationdate>20110127</creationdate><title>A-infinity structure in string theory and the Yang-Mills equation</title><author>Grigoryev, Dmitry ; Khromov, Pavel</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a658-b706e06fc36250b777463e87211184a2e466958bd9689275ee0f5c64e4e4b8a13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Grigoryev, Dmitry</creatorcontrib><creatorcontrib>Khromov, Pavel</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Grigoryev, Dmitry</au><au>Khromov, Pavel</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A-infinity structure in string theory and the Yang-Mills equation</atitle><date>2011-01-27</date><risdate>2011</risdate><abstract>We consider local operators of CFT inserted at the boundary of the worldsheet
and an infinite set of maps that act on a space of the local operators. These
maps have natural CFT interpretation and form A-infinity algebra. In terms of
these operators we define the homotopical Maurer-Cartan equation, find its
symmetries and explore its properties. Further we recover the Yang-Mills
equation from the homotopical Maurer-Cartan equation, identify the first
alpha'-correction to it and propose method for calculation all corrections.</abstract><doi>10.48550/arxiv.1101.5388</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - High Energy Physics - Theory |
| title | A-infinity structure in string theory and the Yang-Mills equation |
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