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Affine algebras at infinite distance limits in the Heterotic String
A bstract We analyze the boundaries of the moduli spaces of compactifications of the heterotic string on T d , making particular emphasis on d = 2 and its F-theory dual. We compute the OPE algebras as we approach all the infinite distance limits that correspond to (possibly partial) decompactificati...
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Published in: | The journal of high energy physics 2023-07, Vol.2023 (7), p.36-49, Article 36 |
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container_end_page | 49 |
container_issue | 7 |
container_start_page | 36 |
container_title | The journal of high energy physics |
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creator | Collazuol, Veronica Graña, Mariana Herráez, Alvaro De Freitas, Héctor Parra |
description | A
bstract
We analyze the boundaries of the moduli spaces of compactifications of the heterotic string on
T
d
, making particular emphasis on
d
= 2 and its F-theory dual. We compute the OPE algebras as we approach all the infinite distance limits that correspond to (possibly partial) decompactification limits in some dual frame. When decompactifying
k
directions, we find infinite towers of states becoming light that enhance the algebra arising at a given point in the moduli space of the
T
d−k
compactification to its
k
-loop version, where the central extensions are given by the
k
KK vectors. For
T
2
compactifications, we reproduce all the affine algebras that arise in the F-theory dual, and show all the towers explicitly, including some that are not manifest in the F-theory counterparts. Furthermore, we construct the affine SO(32) algebra arising in the full decompactification limit, both in the heterotic and in the F-theory sides, showing that not only affine algebras of exceptional type arise in the latter. |
doi_str_mv | 10.1007/JHEP07(2023)036 |
format | article |
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bstract
We analyze the boundaries of the moduli spaces of compactifications of the heterotic string on
T
d
, making particular emphasis on
d
= 2 and its F-theory dual. We compute the OPE algebras as we approach all the infinite distance limits that correspond to (possibly partial) decompactification limits in some dual frame. When decompactifying
k
directions, we find infinite towers of states becoming light that enhance the algebra arising at a given point in the moduli space of the
T
d−k
compactification to its
k
-loop version, where the central extensions are given by the
k
KK vectors. For
T
2
compactifications, we reproduce all the affine algebras that arise in the F-theory dual, and show all the towers explicitly, including some that are not manifest in the F-theory counterparts. Furthermore, we construct the affine SO(32) algebra arising in the full decompactification limit, both in the heterotic and in the F-theory sides, showing that not only affine algebras of exceptional type arise in the latter.</description><identifier>ISSN: 1029-8479</identifier><identifier>ISSN: 1126-6708</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP07(2023)036</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algebra ; Classical and Quantum Gravitation ; Elementary Particles ; F-Theory ; Gauge Symmetry ; High energy physics ; High Energy Physics - Theory ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Duality ; String Theory ; Strings ; Superstrings and Heterotic Strings ; Symmetry ; Topological manifolds ; Towers</subject><ispartof>The journal of high energy physics, 2023-07, Vol.2023 (7), p.36-49, Article 36</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><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c405t-8c3d34a8c9f6380bc129c2c2937dbe240809f5f6f1c1ea352c405034788f00293</cites><orcidid>0000-0003-0259-4829</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2833358425/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2833358425?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>230,314,780,784,885,25753,27924,27925,37012,44590,74998</link.rule.ids><backlink>$$Uhttps://hal.science/hal-03850718$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Collazuol, Veronica</creatorcontrib><creatorcontrib>Graña, Mariana</creatorcontrib><creatorcontrib>Herráez, Alvaro</creatorcontrib><creatorcontrib>De Freitas, Héctor Parra</creatorcontrib><title>Affine algebras at infinite distance limits in the Heterotic String</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We analyze the boundaries of the moduli spaces of compactifications of the heterotic string on
T
d
, making particular emphasis on
d
= 2 and its F-theory dual. We compute the OPE algebras as we approach all the infinite distance limits that correspond to (possibly partial) decompactification limits in some dual frame. When decompactifying
k
directions, we find infinite towers of states becoming light that enhance the algebra arising at a given point in the moduli space of the
T
d−k
compactification to its
k
-loop version, where the central extensions are given by the
k
KK vectors. For
T
2
compactifications, we reproduce all the affine algebras that arise in the F-theory dual, and show all the towers explicitly, including some that are not manifest in the F-theory counterparts. Furthermore, we construct the affine SO(32) algebra arising in the full decompactification limit, both in the heterotic and in the F-theory sides, showing that not only affine algebras of exceptional type arise in the latter.</description><subject>Algebra</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>F-Theory</subject><subject>Gauge Symmetry</subject><subject>High energy physics</subject><subject>High Energy Physics - Theory</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 Duality</subject><subject>String Theory</subject><subject>Strings</subject><subject>Superstrings and Heterotic Strings</subject><subject>Symmetry</subject><subject>Topological manifolds</subject><subject>Towers</subject><issn>1029-8479</issn><issn>1126-6708</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1kc1LAzEQxRdRsFbPXhe86KE6STa7ybEUtUpBQT2HbDqpKdvdmkTB_96sK34cPCW8vPdjJi_LjgmcE4Dq4nZ-eQ_VKQXKzoCVO9mIAJUTUVRy99d9PzsIYQ1AOJEwymZTa12LuW5WWHsdch1z1ybJRcyXLkTdGswbt3ExpIc8PmM-x4i-i87kD9G7dnWY7VndBDz6OsfZ09Xl42w-Wdxd38ymi4kpgMeJMGzJCi2MtCUTUBtCpaGGSlYta6QFCJCW29ISQ1AzTvsYsKISwkIan42zm4G77PRabb3baP-uOu3Up9D5ldI-jdWgwgJrIQ1qksB1XQqrdVoZuaBScGIS62xgPevmD2o-XaheAyY4VES8keQ9Gbxb3728Yohq3b36Nq2qqGCMcVFQnlwXg8v4LgSP9htLQPUNqaEh1TeU8GVKwJAI2_4b0f9w_4t8AJYqj9w</recordid><startdate>20230705</startdate><enddate>20230705</enddate><creator>Collazuol, Veronica</creator><creator>Graña, Mariana</creator><creator>Herráez, Alvaro</creator><creator>De Freitas, Héctor Parra</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>Springer</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>1XC</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0003-0259-4829</orcidid></search><sort><creationdate>20230705</creationdate><title>Affine algebras at infinite distance limits in the Heterotic String</title><author>Collazuol, Veronica ; Graña, Mariana ; Herráez, Alvaro ; De Freitas, Héctor Parra</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c405t-8c3d34a8c9f6380bc129c2c2937dbe240809f5f6f1c1ea352c405034788f00293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Algebra</topic><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>F-Theory</topic><topic>Gauge Symmetry</topic><topic>High energy physics</topic><topic>High Energy Physics - Theory</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 Duality</topic><topic>String Theory</topic><topic>Strings</topic><topic>Superstrings and Heterotic Strings</topic><topic>Symmetry</topic><topic>Topological manifolds</topic><topic>Towers</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Collazuol, Veronica</creatorcontrib><creatorcontrib>Graña, Mariana</creatorcontrib><creatorcontrib>Herráez, Alvaro</creatorcontrib><creatorcontrib>De Freitas, Héctor Parra</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 Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest 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>Hyper Article en Ligne (HAL)</collection><collection>DOAJ 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>Collazuol, Veronica</au><au>Graña, Mariana</au><au>Herráez, Alvaro</au><au>De Freitas, Héctor Parra</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Affine algebras at infinite distance limits in the Heterotic String</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. 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bstract
We analyze the boundaries of the moduli spaces of compactifications of the heterotic string on
T
d
, making particular emphasis on
d
= 2 and its F-theory dual. We compute the OPE algebras as we approach all the infinite distance limits that correspond to (possibly partial) decompactification limits in some dual frame. When decompactifying
k
directions, we find infinite towers of states becoming light that enhance the algebra arising at a given point in the moduli space of the
T
d−k
compactification to its
k
-loop version, where the central extensions are given by the
k
KK vectors. For
T
2
compactifications, we reproduce all the affine algebras that arise in the F-theory dual, and show all the towers explicitly, including some that are not manifest in the F-theory counterparts. Furthermore, we construct the affine SO(32) algebra arising in the full decompactification limit, both in the heterotic and in the F-theory sides, showing that not only affine algebras of exceptional type arise in the latter.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP07(2023)036</doi><tpages>49</tpages><orcidid>https://orcid.org/0000-0003-0259-4829</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Algebra Classical and Quantum Gravitation Elementary Particles F-Theory Gauge Symmetry High energy physics High Energy Physics - Theory Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Duality String Theory Strings Superstrings and Heterotic Strings Symmetry Topological manifolds Towers |
title | Affine algebras at infinite distance limits in the Heterotic String |
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