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On the brane expansion of the Schur index
A bstract We consider the Schur index of N = 4 U( N ) SYM theory in 4d and its holographic giant graviton-type expansion at finite N . We compute the world-volume brane superconformal index by a recently proposed definition of the gauge holonomy integral as a multivariate residue. This is evaluated...
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Published in: | The journal of high energy physics 2023-08, Vol.2023 (8), p.73-28, Article 73 |
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container_end_page | 28 |
container_issue | 8 |
container_start_page | 73 |
container_title | The journal of high energy physics |
container_volume | 2023 |
creator | Beccaria, M. Cabo-Bizet, A. |
description | A
bstract
We consider the Schur index of
N
= 4 U(
N
) SYM theory in 4d and its holographic giant graviton-type expansion at finite
N
. We compute the world-volume brane superconformal index by a recently proposed definition of the gauge holonomy integral as a multivariate residue. This is evaluated by a novel deformation algorithm that avoids Gröbner basis methods. Various terms of the brane expansion are computed and their sum is shown to be free of wall-crossing singularities to the order we explored. The relation between the brane expansion and previous giant graviton-type represenations of the Schur index is clarified. |
doi_str_mv | 10.1007/JHEP08(2023)073 |
format | article |
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bstract
We consider the Schur index of
N
= 4 U(
N
) SYM theory in 4d and its holographic giant graviton-type expansion at finite
N
. We compute the world-volume brane superconformal index by a recently proposed definition of the gauge holonomy integral as a multivariate residue. This is evaluated by a novel deformation algorithm that avoids Gröbner basis methods. Various terms of the brane expansion are computed and their sum is shown to be free of wall-crossing singularities to the order we explored. The relation between the brane expansion and previous giant graviton-type represenations of the Schur index is clarified.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP08(2023)073</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>AdS-CFT Correspondence ; Algorithms ; Branes ; Classical and Quantum Gravitation ; Elementary Particles ; Extended Supersymmetry ; Gauge-Gravity Correspondence ; Geometry ; Gravitons ; High energy physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2023-08, Vol.2023 (8), p.73-28, Article 73</ispartof><rights>The Author(s) 2023</rights><rights>The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c417t-a6ee9c2013adaa20676c4575ad6df1e66717bcf481a15453ed31277747c63bef3</citedby><cites>FETCH-LOGICAL-c417t-a6ee9c2013adaa20676c4575ad6df1e66717bcf481a15453ed31277747c63bef3</cites><orcidid>0000-0002-2152-3738</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2850407617/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2850407617?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,777,781,25734,27905,27906,36993,44571,74875</link.rule.ids></links><search><creatorcontrib>Beccaria, M.</creatorcontrib><creatorcontrib>Cabo-Bizet, A.</creatorcontrib><title>On the brane expansion of the Schur index</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We consider the Schur index of
N
= 4 U(
N
) SYM theory in 4d and its holographic giant graviton-type expansion at finite
N
. We compute the world-volume brane superconformal index by a recently proposed definition of the gauge holonomy integral as a multivariate residue. This is evaluated by a novel deformation algorithm that avoids Gröbner basis methods. Various terms of the brane expansion are computed and their sum is shown to be free of wall-crossing singularities to the order we explored. The relation between the brane expansion and previous giant graviton-type represenations of the Schur index is clarified.</description><subject>AdS-CFT Correspondence</subject><subject>Algorithms</subject><subject>Branes</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Extended Supersymmetry</subject><subject>Gauge-Gravity Correspondence</subject><subject>Geometry</subject><subject>Gravitons</subject><subject>High energy physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1kMFLwzAUxoMoOKdnrwUv7lD3Xpom6VHGdJPBBPUc0jTdOmYzkxbmf2-3inrx9B6P7_t9j4-Qa4Q7BBDjp9n0GeQtBZqMQCQnZIBAs1gykZ3-2c_JRQgbAEwxgwEZLeuoWdso97q2kd3vdB0qV0euPJ5fzLr1UVUXdn9Jzkq9Dfbqew7J28P0dTKLF8vH-eR-ERuGook1tzYzFDDRhdYUuOCGpSLVBS9KtJwLFLkpmUSNKUsTWyRIhRBMGJ7ktkyGZN5zC6c3auerd-0_ldOVOh6cXyntm8psrYICdZZLoBIZSynLWJ5RKaELEoZZ1rFuetbOu4_WhkZtXOvr7n1FZQoMBEfRqca9yngXgrflTyqCOnSr-m7VoVvVdds5oHeETlmvrP_l_mf5AuOxd88</recordid><startdate>20230814</startdate><enddate>20230814</enddate><creator>Beccaria, M.</creator><creator>Cabo-Bizet, A.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-2152-3738</orcidid></search><sort><creationdate>20230814</creationdate><title>On the brane expansion of the Schur index</title><author>Beccaria, M. ; Cabo-Bizet, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c417t-a6ee9c2013adaa20676c4575ad6df1e66717bcf481a15453ed31277747c63bef3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>AdS-CFT Correspondence</topic><topic>Algorithms</topic><topic>Branes</topic><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Extended Supersymmetry</topic><topic>Gauge-Gravity Correspondence</topic><topic>Geometry</topic><topic>Gravitons</topic><topic>High energy physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Beccaria, M.</creatorcontrib><creatorcontrib>Cabo-Bizet, A.</creatorcontrib><collection>SpringerOpen</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Database (1962 - current)</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Directory of Open Access Journals</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Beccaria, M.</au><au>Cabo-Bizet, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the brane expansion of the Schur index</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2023-08-14</date><risdate>2023</risdate><volume>2023</volume><issue>8</issue><spage>73</spage><epage>28</epage><pages>73-28</pages><artnum>73</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We consider the Schur index of
N
= 4 U(
N
) SYM theory in 4d and its holographic giant graviton-type expansion at finite
N
. We compute the world-volume brane superconformal index by a recently proposed definition of the gauge holonomy integral as a multivariate residue. This is evaluated by a novel deformation algorithm that avoids Gröbner basis methods. Various terms of the brane expansion are computed and their sum is shown to be free of wall-crossing singularities to the order we explored. The relation between the brane expansion and previous giant graviton-type represenations of the Schur index is clarified.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP08(2023)073</doi><tpages>28</tpages><orcidid>https://orcid.org/0000-0002-2152-3738</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | AdS-CFT Correspondence Algorithms Branes Classical and Quantum Gravitation Elementary Particles Extended Supersymmetry Gauge-Gravity Correspondence Geometry Gravitons High energy physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory |
title | On the brane expansion of the Schur index |
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