{"title":"重子电荷的极端化","authors":"Seyed Morteza Hosseini, Alberto Zaffaroni","doi":"10.1103/physrevlett.134.191601","DOIUrl":null,"url":null,"abstract":"We propose an entropy function for AdS</a:mi></a:mrow>4</a:mn></a:mrow></a:msub></a:mrow></a:math> BPS black holes in M theory with general magnetic charges, resolving in particular a long-standing puzzle about baryonic charges. The entropy function is constructed from a gravitational block defined solely in terms of topological data of the internal manifold. We show that the entropy of twisted black holes can always be reformulated as an <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi mathvariant=\"script\">I</c:mi></c:math>-extremization problem—even in cases where existing large-<f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>N</f:mi></f:math> field theory computations fail to provide an answer. Furthermore, we correctly reproduce the entropy for a class of known black holes with purely baryonic magnetic charges. Our results offer both a conjecture for the general gravitational block for <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mrow><h:msub><h:mrow><h:mi>AdS</h:mi></h:mrow><h:mrow><h:mn>4</h:mn></h:mrow></h:msub></h:mrow></h:math> black holes in M theory and a prediction for the large-<j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mi>N</j:mi></j:math> limit of several partition functions whose saddle points have yet to be found. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20069,"journal":{"name":"Physical review letters","volume":"96 1","pages":""},"PeriodicalIF":8.1000,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"I -Extremization with Baryonic Charges\",\"authors\":\"Seyed Morteza Hosseini, Alberto Zaffaroni\",\"doi\":\"10.1103/physrevlett.134.191601\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose an entropy function for AdS</a:mi></a:mrow>4</a:mn></a:mrow></a:msub></a:mrow></a:math> BPS black holes in M theory with general magnetic charges, resolving in particular a long-standing puzzle about baryonic charges. The entropy function is constructed from a gravitational block defined solely in terms of topological data of the internal manifold. We show that the entropy of twisted black holes can always be reformulated as an <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:mi mathvariant=\\\"script\\\">I</c:mi></c:math>-extremization problem—even in cases where existing large-<f:math xmlns:f=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><f:mi>N</f:mi></f:math> field theory computations fail to provide an answer. Furthermore, we correctly reproduce the entropy for a class of known black holes with purely baryonic magnetic charges. Our results offer both a conjecture for the general gravitational block for <h:math xmlns:h=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><h:mrow><h:msub><h:mrow><h:mi>AdS</h:mi></h:mrow><h:mrow><h:mn>4</h:mn></h:mrow></h:msub></h:mrow></h:math> black holes in M theory and a prediction for the large-<j:math xmlns:j=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><j:mi>N</j:mi></j:math> limit of several partition functions whose saddle points have yet to be found. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20069,\"journal\":{\"name\":\"Physical review letters\",\"volume\":\"96 1\",\"pages\":\"\"},\"PeriodicalIF\":8.1000,\"publicationDate\":\"2025-05-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical review letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevlett.134.191601\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevlett.134.191601","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
We propose an entropy function for AdS4 BPS black holes in M theory with general magnetic charges, resolving in particular a long-standing puzzle about baryonic charges. The entropy function is constructed from a gravitational block defined solely in terms of topological data of the internal manifold. We show that the entropy of twisted black holes can always be reformulated as an I-extremization problem—even in cases where existing large-N field theory computations fail to provide an answer. Furthermore, we correctly reproduce the entropy for a class of known black holes with purely baryonic magnetic charges. Our results offer both a conjecture for the general gravitational block for AdS4 black holes in M theory and a prediction for the large-N limit of several partition functions whose saddle points have yet to be found. Published by the American Physical Society2025
期刊介绍:
Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics:
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